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May 2026 term · Statistics for Data Science II · BSMA1004

Statistics for Data Science II End Term: 13 September 2026, Set S2 (May 2026 term)

The IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 13 Sept 2026, in the May 2026 term, set S2: 20 questions for 37 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.

Questions
20
Marks
37
Duration
180 min
Numerical
17
MCQ
1
MSQ
2

Updated

Official paper: Statistics2 13 Sep 26 (Session 2) · No negative marking.

Question 1

+3 marksNumerical answer
Show answer

Correct answer: 13.61 (accepted within ±0.03)

Question 2

+3 marksNumerical answer
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Correct answer: 3.14 (accepted within ±0.03)

Question 3

+3 marksNumerical answer

A cereal company fills packets with a mean weight of 300 g. The packet weights are normally distributed with a standard deviation of 8 g. A random sample of 16 packets is selected to test whether the mean filling weight has increased. The test rejects the claim if the sample mean exceeds 303.29 g. Against an alternative mean weight of 304 g, find the power of the test. Enter the answer correct to two decimal places.

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Correct answer: 0.64 (accepted within ±0.01)

Question 4

+3 marksOne correct option

The standard deviation of weights of 70 gram bags of white cheddar popcorn is expected to be 2.5 grams. A random sample of 20 packages showed a standard deviation of 3 grams. Is the apparent increase in variability significant at the 0.05 level?

  1. A

    Yes

  2. B

    No

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Correct answer

  • B

    No

Question 5

+3 marksOne or more correct options

. Which of the following options is/are true?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
  5. E

    (A figure from the original paper is missing from the source site.)

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Correct answers

  • A
  • C
  • D

Question 6

+3 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • C
  • D

Question 7

+2 marksNumerical answer

.

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Correct answer: 3

Question 8

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

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Correct answer: 0.031 (accepted within ±0.003)

Question 9

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.6

Question 10

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

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Correct answer: 0.875

Question 11

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

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Correct answer: 0.75

Question 12

+2 marksNumerical answer
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Correct answer: 36

Question 13

+1 markNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

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Correct answer: 10

Question 14

+1 markNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 4

Question 15

+0.5 marksNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 3

Question 16

+0.5 marksNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 11

Question 17

+0.5 marksNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 6

Question 18

+0.5 marksNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 13

Question 19

+0.5 marksNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 12

Question 20

+0.5 marksNumerical answer

Answer the given sub-questions. Note: Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 8