Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students. Based on the above data, answer the given subquestions. Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and th If a 20% significance level is considered, then which of the following statements is/are true for the performed statistical test (choose all that are applicable)

(A) If the p-value for the test is 0.25, conclude that the course completions are independent of gender

(B) If the p-value for the test is 0.15, conclude that the course completions are not independent of gender

(E) If the computed test statistic is less than the chi-square tabulated, then conclude that the course enrolments are independent of gender

(F) If the computed test statistic is greater than the chi-square tabulated, then conclude that the course enrolments are not independent of gender

(C) If the p-value for the test is 0.25, conclude that the course completions are not independent of gender

(D) If the p-value for the test is 0.15, conclude that the course completions are independent of gender

(G) If the computed test statistic is less than the chi-square tabulated, then conclude that the course enrolments are not independent of gender

(H) If the computed test statistic is greater than the chi-square tabulated, then conclude that the course enrolments are independent of gender

Business Analytics Quiz 1 PYQ Jan 2026: 15 Mar 2026 · IITM BS

Question 1

+0.5 marksOne correct option

A distribution is right-tailed if

A
Coefficient of variation is positive
B
Skewness is positive
C
Skewness is negative
D
Cannot say without the histogram

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Correct answer

B
Skewness is positive

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Question 2

+1 markWritten answer

The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.

How many degrees of freedom is present for the “Residuals” of the built model?

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Question 3

+0.5 marksWritten answer

The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.

What is the market size?

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Question 4

+1 markWritten answer

The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.

What is the satiating price for the demand response curve? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)

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Question 5

+1.5 marksWritten answer

The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.

What is the elasticity at a price of Rs. 20? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)

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Question 6

+1.5 marksWritten answer

The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.

If the price changes from Rs.20 to Rs.25, then what is the elasticity of the curve between these two price points? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)

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Question 7

+2 marksWritten answer

Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students.

Based on the above data, answer the given subquestions.

If the aim is to understand if the “Gender” categories and “Completion” categories (including completion of any degree and discontinuation) are independent of each other, then what is the value for the computed test statistic? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)

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Question 7 on its own page

Question 8

+1 markWritten answer

Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students.

Based on the above data, answer the given subquestions.

What is the number of degrees of freedom for the statistical test to be performed? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)

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Question 9

+2 marksOne or more correct options

Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students.

Based on the above data, answer the given subquestions.

If a 20% significance level is considered, then which of the following statements is/are true for the performed statistical test (choose all that are applicable)

Select all that apply.

A
If the p-value for the test is 0.25, conclude that the course completions are independent of gender
B
If the p-value for the test is 0.15, conclude that the course completions are not independent of gender
C
If the p-value for the test is 0.25, conclude that the course completions are not independent of gender
D
If the p-value for the test is 0.15, conclude that the course completions are independent of gender
E
If the computed test statistic is less than the chi-square tabulated, then conclude that the course enrolments are independent of gender
F
If the computed test statistic is greater than the chi-square tabulated, then conclude that the course enrolments are not independent of gender
G
If the computed test statistic is less than the chi-square tabulated, then conclude that the course enrolments are not independent of gender
H
If the computed test statistic is greater than the chi-square tabulated, then conclude that the course enrolments are independent of gender

Show answer

Correct answers

A
If the p-value for the test is 0.25, conclude that the course completions are independent of gender
B
If the p-value for the test is 0.15, conclude that the course completions are not independent of gender
E
If the computed test statistic is less than the chi-square tabulated, then conclude that the course enrolments are independent of gender
F
If the computed test statistic is greater than the chi-square tabulated, then conclude that the course enrolments are not independent of gender

Question 9 on its own page

Question 10

+1 markWritten answer

DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.

What is the probability that a bulb from the production lot will give a life of more than 100 hours? (Note: Input your answer rounded to two decimal places. For example, if your answer is “1.235” then enter the answer as “1.24”)

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Question 10 on its own page

Question 11

+1 markWritten answer

DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.

If a randomly selected bulb from the production lot has a life of more than 100 hours, then what is the probability that it was of Type-C? (Note: Input your answer rounded to two decimal places. For example, if your answer is “1.235” then enter the answer as “1.24”)

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Question 12

+1 markWritten answer

DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.

DMS is giving a replacement warranty for bulbs that last for less than 100 hours of life. The replacement will cost Rs. 8 for every Type-A bulb, Rs. 5 for every Type-B bulb and Rs. 6 for every Type-C bulb. Then, if 2,00,000 bulbs are produced and sold in a year, what would be the total warranty related cost that DMS will expect to incur? (Note: Input your answer in Rupees rounded to two decimal places. For example, if your answer is “Rupees 100.235” then enter the answer as “100.24”)

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Question 13

+1 markWritten answer

Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects.

Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.

How many teddy bears will Ms. Teddy expect to see which will have “4 defects”? (Note: Input your answer rounded to two decimal places. For example, if your answer is “1.235” then enter the answer as “1.24”)

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Question 14

+1 markWritten answer

Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects.

Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.

How many degrees of freedom is/are present for the statistical test to be performed by Ms. Teddy?

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Question 15

+2 marksWritten answer

Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects.

Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.

What is the value of the computed test statistic for the statistical test to be performed by Ms. Teddy? (Note: Input your answer rounded to two decimal places. For example, if your answer is “1.235” then enter the answer as “1.24”)

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Question 15 on its own page

Question 16

+2 marksOne or more correct options

Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects.

Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.

Given Figure-1, which of the following statements is/are true (choose all that is/ are applicable)

Select all that apply.

A
The p-value for the Test is anywhere between 5% and 2.5%
B
At a 5% confidence level, the Null Hypothesis is Not Rejected
C
At a 5% confidence level, the Null Hypothesis is Rejected
D
At a 5% significance level, the Null Hypothesis is Not Rejected
E
At a 5% significance level, the Null Hypothesis is Rejected
F
At a 2.5% significance level, the Tabulated Chi-square value for the test is 12.83
G
None of these

Show answer

Correct answers

C
At a 5% confidence level, the Null Hypothesis is Rejected
E
At a 5% significance level, the Null Hypothesis is Rejected

Question 16 on its own page

Question 17

+1 markWritten answer

The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.

Show answer

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Question 18

+1 markWritten answer

Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students.

Based on the above data, answer the given subquestions.

Show answer

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Question 18 on its own page

Question 19

+1 markWritten answer

DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.

Show answer

A written answer, not marked automatically.

Question 19 on its own page

Question 20

+1 markWritten answer

Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects.

Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.

Show answer

A written answer, not marked automatically.

Question 20 on its own page