The IIT Madras BS Business Analytics (Business Analytics) End Term paper sat on 10 May 2026, in the January 2026 term: 51 questions for 53 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
The following scenario is purely hypothetical A data science company has 5 managers (5 DMUs and k=5). Each manager is allocated the same budget of ₹3,00,000. The savings achieved (in INR) and the projects completed (successfully) are the outputs.
Fill in the correct value a.
x12
x22
y21
y12
Correct answer
y12
The following scenario is purely hypothetical A data science company has 5 managers (5 DMUs and k=5). Each manager is allocated the same budget of ₹3,00,000. The savings achieved (in INR) and the projects completed (successfully) are the outputs.
Fill in the correct value b.
y12
x22
x21
y22
Correct answer
y22
The following scenario is purely hypothetical A data science company has 5 managers (5 DMUs and k=5). Each manager is allocated the same budget of ₹3,00,000. The savings achieved (in INR) and the projects completed (successfully) are the outputs.
Fill in the correct value c.
x22
x12
y21
y22
Correct answer
x12
The following scenario is purely hypothetical A data science company has 5 managers (5 DMUs and k=5). Each manager is allocated the same budget of ₹3,00,000. The savings achieved (in INR) and the projects completed (successfully) are the outputs.
Which DMUs are in the economic frontier?
(1,2,4)
(3,2,5)
(1,4,5)
(4,5,3)
Correct answer
(4,5,3)
The following scenario is purely hypothetical A data science company has 5 managers (5 DMUs and k=5). Each manager is allocated the same budget of ₹3,00,000. The savings achieved (in INR) and the projects completed (successfully) are the outputs.
Which DMUs are the reference units for DMU 2?
(5,4)
(5,3)
(3,5)
(3,1)
Correct answer
(5,3)
The following scenario is purely hypothetical A data science company has 5 managers (5 DMUs and k=5). Each manager is allocated the same budget of ₹3,00,000. The savings achieved (in INR) and the projects completed (successfully) are the outputs.
Which DMUs are the reference units for DMU 1?
(1,4)
(1,3)
(4,5)
Correct answer
(4,5)
The following scenario is purely hypothetical Upon solving the optimization problem for business unit 2, you find the efficiency is 0.8. You also find that the dual variables corresponding to the constraints of business units 5 and 3 are non-zero, and the dual variables corresponding to the constraints of other business units are zero. The dual variables corresponding to the constraints of business units 5 and 3 are 0.3 and 0.5, respectively.
Based on the given data, answer the given sub-questions.
How much will the Savings in HCU 2? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical Upon solving the optimization problem for business unit 2, you find the efficiency is 0.8. You also find that the dual variables corresponding to the constraints of business units 5 and 3 are non-zero, and the dual variables corresponding to the constraints of other business units are zero. The dual variables corresponding to the constraints of business units 5 and 3 are 0.3 and 0.5, respectively.
Based on the given data, answer the given sub-questions.
How much will the Projects Completed in HCU 2? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical Upon solving the optimization problem for business unit 2, you find the efficiency is 0.8. You also find that the dual variables corresponding to the constraints of business units 5 and 3 are non-zero, and the dual variables corresponding to the constraints of other business units are zero. The dual variables corresponding to the constraints of business units 5 and 3 are 0.3 and 0.5, respectively.
Based on the given data, answer the given sub-questions.
In DEA, when can the Linear Programming model be used for calculating the weights of efficiency (weighted outputs/weighted inputs)?
After converting the ratio into the linear objective function
We solve a non-linear optimization problem
After normalizing the denominator
By setting a constraint on the efficiency of all DMUs to be lesser than or equal to 1
All of these
Correct answers
After converting the ratio into the linear objective function
After normalizing the denominator
By setting a constraint on the efficiency of all DMUs to be lesser than or equal to 1
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
What is the accuracy of the model? [Note: Enter your answer in PERCENTAGE rounded to four decimal places without the percentage symbol. For example: If your answer is “81.23445%” then enter it as “81.2345”]
A written answer, not marked automatically.
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
What is the precision of class 1? [Note: Enter your answer in PERCENTAGE rounded to four decimal places without the percentage symbol. For example: If your answer is “81.23445%” then enter it as “81.2345”]
A written answer, not marked automatically.
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
What is the sensitivity of the model? [Note: Enter your answer in PERCENTAGE rounded to four decimal places without the percentage symbol. For example: If your answer is “81.23445%” then enter it as “81.2345”]
A written answer, not marked automatically.
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
What is the precision of class 0? [Note: Enter your answer in PERCENTAGE rounded to four decimal places without the percentage symbol. For example: If your answer is “81.23445%” then enter it as “81.2345”]
A written answer, not marked automatically.
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
What is the specificity of the model? [Note: Enter your answer in PERCENTAGE rounded to four decimal places without the percentage symbol. For example: If your answer is “81.23445%” then enter it as “81.2345”]
A written answer, not marked automatically.
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
What is the correct interpretation of the coefficient b1?
If the salary increases by 1 unit, the log of odds of the application acceptance increases by 0.03.
If the salary increases by 1 unit, the odds of the application getting accepted increase by 3% (e0.3 = 1.03)
Both If the salary increases by 1 unit, the log of odds of the application acceptance increases by 0.03 and If the salary increases by 1 unit, the odds of the application getting accepted increase by 3% (e0.3 = 1.03)
None of these
Correct answer
Both If the salary increases by 1 unit, the log of odds of the application acceptance increases by 0.03 and If the salary increases by 1 unit, the odds of the application getting accepted increase by 3% (e0.3 = 1.03)
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
What is the correct interpretation of the coefficient b2?
If the age increases by 1 unit, the log of odds of the application acceptance decreases by 0.05.
If the age increases by 1 unit, the odds of the application getting accepted decrease by 5% (e-0.05 = 0.95).
Both If the age increases by 1 unit, the log of odds of the application acceptance decreases by 0.05 and If the age increases by 1 unit, the odds of the application getting accepted decrease by 5% (e-0.05 = 0.95).
None of these
Correct answer
Both If the age increases by 1 unit, the log of odds of the application acceptance decreases by 0.05 and If the age increases by 1 unit, the odds of the application getting accepted decrease by 5% (e-0.05 = 0.95).
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
Calculate the Area under the curve. Hint: Enter your answer in decimals. Round off your answer to 2 decimals. Example: if your answer is 0.7354, write it as 0.74
A written answer, not marked automatically.
The part worth can be defined as:
Level utilities
The utility for that level of attribute
Utility for separate parts of the products
All of these
Correct answer
All of these
In the pairwise comparison, which of the following is true:
We want to minimize the violation with regard to wrong preferences
Objective function is to maximize the goodness of fit
Objective function is to minimize the poorness of fit
Both We want to minimize the violation with regard to wrong preferences and Objective function is to minimize the poorness of fit
None of these
Correct answer
Both We want to minimize the violation with regard to wrong preferences and Objective function is to minimize the poorness of fit
The following scenario is purely hypothetical You are in the process of selecting an ideal car from several available options. The decision depends on three key attributes: • Brand: Hyundai, Maruti Suzuki, and Volkswagen • Gearbox type: Manual and Automatic • Engine displacement (CC): 1000 CC, 1300 CC, and 1500 CC Your preferences are as follows: • Among brands, Hyundai is least preferred, followed by Maruti Suzuki, while Volkswagen is most preferred. • Automatic gearbox is preferred over Manual. • For engine capacity, 1500 CC > 1300 CC > 1000 CC in terms of performance and preference. Using these inputs, you build a regression model to quantify your preferences. The estimated coefficients of the model are provided in Figure 2.
Based on the above data,answer the given sub-questions
What is the part worth to customers if he/she upgrades from a 1000 CC to a 1500 CC engine? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 1000.63545, then enter the answer as “1000.6355”]
A written answer, not marked automatically.
The following scenario is purely hypothetical You are in the process of selecting an ideal car from several available options. The decision depends on three key attributes: • Brand: Hyundai, Maruti Suzuki, and Volkswagen • Gearbox type: Manual and Automatic • Engine displacement (CC): 1000 CC, 1300 CC, and 1500 CC Your preferences are as follows: • Among brands, Hyundai is least preferred, followed by Maruti Suzuki, while Volkswagen is most preferred. • Automatic gearbox is preferred over Manual. • For engine capacity, 1500 CC > 1300 CC > 1000 CC in terms of performance and preference. Using these inputs, you build a regression model to quantify your preferences. The estimated coefficients of the model are provided in Figure 2.
Based on the above data,answer the given sub-questions
How much is the weightage provided by the customer for the Brand? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “0.7354%”, then enter it as “0.74”)
A written answer, not marked automatically.
The following scenario is purely hypothetical You are in the process of selecting an ideal car from several available options. The decision depends on three key attributes: • Brand: Hyundai, Maruti Suzuki, and Volkswagen • Gearbox type: Manual and Automatic • Engine displacement (CC): 1000 CC, 1300 CC, and 1500 CC Your preferences are as follows: • Among brands, Hyundai is least preferred, followed by Maruti Suzuki, while Volkswagen is most preferred. • Automatic gearbox is preferred over Manual. • For engine capacity, 1500 CC > 1300 CC > 1000 CC in terms of performance and preference. Using these inputs, you build a regression model to quantify your preferences. The estimated coefficients of the model are provided in Figure 2.
Based on the above data,answer the given sub-questions
How much is the weightage provided by the customer for the Gearbox? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “0.7354%”, then enter it as “0.74”)
A written answer, not marked automatically.
The following scenario is purely hypothetical You are in the process of selecting an ideal car from several available options. The decision depends on three key attributes: • Brand: Hyundai, Maruti Suzuki, and Volkswagen • Gearbox type: Manual and Automatic • Engine displacement (CC): 1000 CC, 1300 CC, and 1500 CC Your preferences are as follows: • Among brands, Hyundai is least preferred, followed by Maruti Suzuki, while Volkswagen is most preferred. • Automatic gearbox is preferred over Manual. • For engine capacity, 1500 CC > 1300 CC > 1000 CC in terms of performance and preference. Using these inputs, you build a regression model to quantify your preferences. The estimated coefficients of the model are provided in Figure 2.
Based on the above data,answer the given sub-questions
How much is the weightage provided by the customer for the Engine? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “0.7354%”, then enter it as “0.74”)
A written answer, not marked automatically.
What does the term “Multicollinearity” refer to? (Select all that are applicable)
The dependent and independent variables are not-related
The dependent and independent variables are linearly related
The dependent variable is linearly related to another dependent variable
The dependent variables are related among each other
None of these
Correct answer
The dependent variables are related among each other
What is the satiating price for a linear demand response curve?
Zero
Does not exist
Equal to the Market size
None of these
Correct answer
None of these
The following scenario is purely hypothetical The demand for ice creams at different prices in the supermarket at IITM is specified in Table-2. Given this data, answer the given subquestions
If a linear demand-response curve is fit for the data, what is the satiating price for ice creams? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical The demand for ice creams at different prices in the supermarket at IITM is specified in Table-2. Given this data, answer the given subquestions
If a linear demand-response curve is fit for the data, what is the market size for ice creams? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical The demand for ice creams at different prices in the supermarket at IITM is specified in Table-2. Given this data, answer the given subquestions
What is the elasticity of the linear demand-response curve, when the price is Rs. 175? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical Dr. Milo wants to advertise his new brand of turion centres called “Torture Students”. Currently promotion plans are underway for this year’s admission. Advertising alternatives include TV, Radio and Social Media. The estimated audiences per advertisement (who will enrol after viewing the advertisement) and costs per advertisement for the different alternatives are shown in Table-3. To ensure a balanced use of advertisement media (1) radio advertisements must not exceed 70% of the total number of advertisements authorised (2) amount authorised for TV advertisements should account for at least 30% of the total spending (3) Amount of spending on social media advertisements cannot exceed more than 25% of the other two spending. The promotional budget is limited to Rs. 1,82,000, and Dr. Milo wants to use all the available money to maximize the number of enrolments. Then answer the given subquestions.
How many decision variables (count) are present in the standard (canonical) form of the primal problem? (Note: Specify the count of variables. Not the count of notations)
A written answer, not marked automatically.
The following scenario is purely hypothetical Dr. Milo wants to advertise his new brand of turion centres called “Torture Students”. Currently promotion plans are underway for this year’s admission. Advertising alternatives include TV, Radio and Social Media. The estimated audiences per advertisement (who will enrol after viewing the advertisement) and costs per advertisement for the different alternatives are shown in Table-3. To ensure a balanced use of advertisement media (1) radio advertisements must not exceed 70% of the total number of advertisements authorised (2) amount authorised for TV advertisements should account for at least 30% of the total spending (3) Amount of spending on social media advertisements cannot exceed more than 25% of the other two spending. The promotional budget is limited to Rs. 1,82,000, and Dr. Milo wants to use all the available money to maximize the number of enrolments. Then answer the given subquestions.
How many constraints (excluding the non-negativity constraints) are present in the standard (canonical) form of the primal? (Note: Specify the count of constraints. Not the count of constrains in notation format)
A written answer, not marked automatically.
The following scenario is purely hypothetical Dr. Milo wants to advertise his new brand of turion centres called “Torture Students”. Currently promotion plans are underway for this year’s admission. Advertising alternatives include TV, Radio and Social Media. The estimated audiences per advertisement (who will enrol after viewing the advertisement) and costs per advertisement for the different alternatives are shown in Table-3. To ensure a balanced use of advertisement media (1) radio advertisements must not exceed 70% of the total number of advertisements authorised (2) amount authorised for TV advertisements should account for at least 30% of the total spending (3) Amount of spending on social media advertisements cannot exceed more than 25% of the other two spending. The promotional budget is limited to Rs. 1,82,000, and Dr. Milo wants to use all the available money to maximize the number of enrolments. Then answer the given subquestions.
If the standard (canonical) form of the primal is converted to a dual, then how many constraints (excluding the non-negativity constraints) are present in the dual? (Note: Specify the count of constraints. Not the count of constrains in notation format)
A written answer, not marked automatically.
The following scenario is purely hypothetical Dr. Milo wants to advertise his new brand of turion centres called “Torture Students”. Currently promotion plans are underway for this year’s admission. Advertising alternatives include TV, Radio and Social Media. The estimated audiences per advertisement (who will enrol after viewing the advertisement) and costs per advertisement for the different alternatives are shown in Table-3. To ensure a balanced use of advertisement media (1) radio advertisements must not exceed 70% of the total number of advertisements authorised (2) amount authorised for TV advertisements should account for at least 30% of the total spending (3) Amount of spending on social media advertisements cannot exceed more than 25% of the other two spending. The promotional budget is limited to Rs. 1,82,000, and Dr. Milo wants to use all the available money to maximize the number of enrolments. Then answer the given subquestions.
If Dr. Milo has decided to invest Rs. 1,05,000 in TV and Rs. 32,000 in Social Media and Rs. 45,000 in Radio. Then has he acted like a true operations expect and found a Feasible solution?
Yes, he is a great operations expert as the above is a feasible solution
No, he is not an expert but a fraud as the above is NOT a feasible solution
Correct answer
Yes, he is a great operations expert as the above is a feasible solution
The following scenario is purely hypothetical Dr. Milo wants to advertise his new brand of turion centres called “Torture Students”. Currently promotion plans are underway for this year’s admission. Advertising alternatives include TV, Radio and Social Media. The estimated audiences per advertisement (who will enrol after viewing the advertisement) and costs per advertisement for the different alternatives are shown in Table-3. To ensure a balanced use of advertisement media (1) radio advertisements must not exceed 70% of the total number of advertisements authorised (2) amount authorised for TV advertisements should account for at least 30% of the total spending (3) Amount of spending on social media advertisements cannot exceed more than 25% of the other two spending. The promotional budget is limited to Rs. 1,82,000, and Dr. Milo wants to use all the available money to maximize the number of enrolments. Then answer the given subquestions.
For the sake of argument, assume that Dr. Milo is an operations expert (irrespective of your answer to any of the previous questions). Then, for the solution (Rs. 1,05,000 in TV and Rs. 32,000 in Social Media and Rs. 45,000 in Radio are made) how many (count) decision variables in the dual (which is formulated based on the standard (canonical) form of the primal) will have a non-zero value?
A written answer, not marked automatically.
The following scenario is purely hypothetical Dr. Milo wants to advertise his new brand of turion centres called “Torture Students”. Currently promotion plans are underway for this year’s admission. Advertising alternatives include TV, Radio and Social Media. The estimated audiences per advertisement (who will enrol after viewing the advertisement) and costs per advertisement for the different alternatives are shown in Table-3. To ensure a balanced use of advertisement media (1) radio advertisements must not exceed 70% of the total number of advertisements authorised (2) amount authorised for TV advertisements should account for at least 30% of the total spending (3) Amount of spending on social media advertisements cannot exceed more than 25% of the other two spending. The promotional budget is limited to Rs. 1,82,000, and Dr. Milo wants to use all the available money to maximize the number of enrolments. Then answer the given subquestions.
For the sake of argument, assume that Dr. Milo is an operations expert (irrespective of your answer to any of the previous questions). Then, for the solution (Rs. 1,05,000 in TV and Rs. 32,000 in Social Media and Rs. 45,000 in Radio are made) what is the objective function value the primal formulation?
A written answer, not marked automatically.
The following scenario is purely hypothetical The daily sales of choco-chip ice-cream cones in an ice-cream parlour is assumed to follow a uniform distribution with a minimum sales of 10 and a maximum sales of 23. To check this assumption, the sales of choco-chip ice-cream cones at the ice-cream parlour for the past 14 days was collected (Table-4). The frequency table is developed with 7 bins. With this data, answer the given subquestions
What is the expected frequency in Day-2? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical The daily sales of choco-chip ice-cream cones in an ice-cream parlour is assumed to follow a uniform distribution with a minimum sales of 10 and a maximum sales of 23. To check this assumption, the sales of choco-chip ice-cream cones at the ice-cream parlour for the past 14 days was collected (Table-4). The frequency table is developed with 7 bins. With this data, answer the given subquestions
What is the value for the computed test statistic? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical The daily sales of choco-chip ice-cream cones in an ice-cream parlour is assumed to follow a uniform distribution with a minimum sales of 10 and a maximum sales of 23. To check this assumption, the sales of choco-chip ice-cream cones at the ice-cream parlour for the past 14 days was collected (Table-4). The frequency table is developed with 7 bins. With this data, answer the given subquestions
How many degrees of freedom does that Chi-Square Goodness of Fit Test statistic have? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical The daily sales of choco-chip ice-cream cones in an ice-cream parlour is assumed to follow a uniform distribution with a minimum sales of 10 and a maximum sales of 23. To check this assumption, the sales of choco-chip ice-cream cones at the ice-cream parlour for the past 14 days was collected (Table-4). The frequency table is developed with 7 bins. With this data, answer the given subquestions
Which of the following is the correct null hypothesis for the performed hypothesis test? (choose all that is/ are applicable)
The sales of choco-chip ice-creams at the ice-cream parlour is uniformly distributed
The daily-sales of choco-chip ice-creams at the ice-cream parlour is uniformly distributed
The sales of choco-chip ice-creams at the ice-cream parlour is NOT uniformly distributed
The daily-sales of choco-chip ice-creams at the ice-cream parlour is NOT uniformly distributed
Correct answer
The daily-sales of choco-chip ice-creams at the ice-cream parlour is uniformly distributed
The following scenario is purely hypothetical The daily sales of choco-chip ice-cream cones in an ice-cream parlour is assumed to follow a uniform distribution with a minimum sales of 10 and a maximum sales of 23. To check this assumption, the sales of choco-chip ice-cream cones at the ice-cream parlour for the past 14 days was collected (Table-4). The frequency table is developed with 7 bins. With this data, answer the given subquestions
Given the chi-square table below, what is your conclusion. Choose all that is/are applicable
Based on the computed test statistic, the NULL hypothesis is never rejected
Based on the computed test statistic, the NULL hypothesis is always rejected
Based on the computed test statistic, the NULL hypothesis is rejected for all significance levels greater than 5%
Based on the computed test statistic, the NULL hypothesis is NOT rejected for all significance levels greater than 50%
Based on the computed test statistic, the NULL hypothesis is rejected for all confidence levels less than 95%
Based on the computed test statistic, the NULL hypothesis is rejected for all confidence levels greater than 95%
None of these
Correct answers
Based on the computed test statistic, the NULL hypothesis is NOT rejected for all significance levels greater than 50%
Based on the computed test statistic, the NULL hypothesis is rejected for all confidence levels less than 95%
A cricket analyst is interested to compare two bowlers (X and Y) based on the number of fours conceded by them in an over. Given that both bowlers have bowled their full quota of 4 overs in a 20 over game, which of the following graphs would be the best to identify and indicate that Bowler-X has performed better than Bowler-Y (choose all that is applicable)
Correct answer
Which of the following distributions is/are not symmetric distributions (select all that are applicable)?
Standard normal distribution
Exponential distribution
Uniform distribution between [-1 to +1]
Poisson distribution
Correct answers
Exponential distribution
Poisson distribution
The following scenario is purely hypothetical Suppose a factory manufactures products on three machines A, B and C. Suppose 45% of total output comes from machine A, 35% of total output comes from machine B and 20% of total output comes from machine C. From the past data, it is known that 3% of products by machine A are defectives, 3% of products by machine B are defectives and 5% of products by machine C are defectives. Then answer the given subquestions.
If Rs. 40 is incurred for the repair work of every defective product, then what would be the total expected expenditure towards repairs for a production lot of 10,000 products? (Note: Enter your answer “Rs” denomination rounded to two decimal places. For example, if your answer is “Rs. 1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical Suppose a factory manufactures products on three machines A, B and C. Suppose 45% of total output comes from machine A, 35% of total output comes from machine B and 20% of total output comes from machine C. From the past data, it is known that 3% of products by machine A are defectives, 3% of products by machine B are defectives and 5% of products by machine C are defectives. Then answer the given subquestions.
What is the probability that the product has come from machine B given that it is defective? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)
A written answer, not marked automatically.
The following scenario is purely hypothetical A data science company has 5 managers (5 DMUs and k=5). Each manager is allocated the same budget of ₹3,00,000. The savings achieved (in INR) and the projects completed (successfully) are the outputs.
A written answer, not marked automatically.
The following scenario is purely hypothetical Upon solving the optimization problem for business unit 2, you find the efficiency is 0.8. You also find that the dual variables corresponding to the constraints of business units 5 and 3 are non-zero, and the dual variables corresponding to the constraints of other business units are zero. The dual variables corresponding to the constraints of business units 5 and 3 are 0.3 and 0.5, respectively.
Based on the given data, answer the given sub-questions.
A written answer, not marked automatically.
The following scenario is purely hypothetical A fintech company wants to assess the performance of its classification model (logistic regression), which predicts loan approval or rejection. Table 2 presents the data used for model development, while Table 3 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 4.
Based on the provided data, answer the given sub-questions.
A written answer, not marked automatically.
The following scenario is purely hypothetical You are in the process of selecting an ideal car from several available options. The decision depends on three key attributes: • Brand: Hyundai, Maruti Suzuki, and Volkswagen • Gearbox type: Manual and Automatic • Engine displacement (CC): 1000 CC, 1300 CC, and 1500 CC Your preferences are as follows: • Among brands, Hyundai is least preferred, followed by Maruti Suzuki, while Volkswagen is most preferred. • Automatic gearbox is preferred over Manual. • For engine capacity, 1500 CC > 1300 CC > 1000 CC in terms of performance and preference. Using these inputs, you build a regression model to quantify your preferences. The estimated coefficients of the model are provided in Figure 2.
Based on the above data,answer the given sub-questions
A written answer, not marked automatically.
The following scenario is purely hypothetical The demand for ice creams at different prices in the supermarket at IITM is specified in Table-2. Given this data, answer the given subquestions
A written answer, not marked automatically.
The following scenario is purely hypothetical Dr. Milo wants to advertise his new brand of turion centres called “Torture Students”. Currently promotion plans are underway for this year’s admission. Advertising alternatives include TV, Radio and Social Media. The estimated audiences per advertisement (who will enrol after viewing the advertisement) and costs per advertisement for the different alternatives are shown in Table-3. To ensure a balanced use of advertisement media (1) radio advertisements must not exceed 70% of the total number of advertisements authorised (2) amount authorised for TV advertisements should account for at least 30% of the total spending (3) Amount of spending on social media advertisements cannot exceed more than 25% of the other two spending. The promotional budget is limited to Rs. 1,82,000, and Dr. Milo wants to use all the available money to maximize the number of enrolments. Then answer the given subquestions.
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The following scenario is purely hypothetical The daily sales of choco-chip ice-cream cones in an ice-cream parlour is assumed to follow a uniform distribution with a minimum sales of 10 and a maximum sales of 23. To check this assumption, the sales of choco-chip ice-cream cones at the ice-cream parlour for the past 14 days was collected (Table-4). The frequency table is developed with 7 bins. With this data, answer the given subquestions
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The following scenario is purely hypothetical Suppose a factory manufactures products on three machines A, B and C. Suppose 45% of total output comes from machine A, 35% of total output comes from machine B and 20% of total output comes from machine C. From the past data, it is known that 3% of products by machine A are defectives, 3% of products by machine B are defectives and 5% of products by machine C are defectives. Then answer the given subquestions.
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