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Stats II · End Term · 22 Dec 2024 (Afternoon)

15 questions · 40 marks · 90 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Statistics for Data Science II

End Term · 22 Dec 2024 (Afternoon)

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Q1NAT3 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Q2MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q3MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q4MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
Which of the following statement(s) is(are) correct?
1. AThe power of a test is the probability of rejecting the null hypothesis when it is false.
2. BThe probability of accepting the alternative hypothesis when it is true is called as level of significance.
3. CType I error is the probability of rejecting the null hypothesis when alternative hypothesis is false.
4. DIf the probability of making a Type II error is 0.05, the power of the test is 0.95.
Q5MSQ3 Marks·Choose all correct options
Asked 4 times Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q6–Q7
Based on the above data, answer the given subquestions.
Q6NAT3 Marks·Write the number
Asked 5 times Key ↓
Your answer:
Q7NAT2 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Read the passage below, then answer Q8–Q9
Let p be the true proportion of customers who favor a newly introduced feature in our mobile app. The product team randomly selected 50 customers and asked them if they appreciate the new feature. From the survey, 20 out of the 50 customers responded with a ‘yes’.
Based on the above data, answer the given subquestions.
Q8MCQ3 Marks·Choose one option
Asked 4 times Key ↓
Find the posterior distribution of p for a Uniform [0, 1] prior.
1. ABeta(20, 30)
2. BBeta(30, 20)
3. CBeta(21, 31)
4. DBeta(31, 21)
Q9NAT2 Marks·Write the number
Asked 2 times Key ↓
Find the posterior mean. Enter the answer correct to two decimal places.
Your answer:
Read the passage below, then answer Q10–Q11
A packaging company uses a machine to fill packets with 98.5 gram of powdered material. A quality control manager suspects that the machine is underfilling the packets. To investigate, he collects a random sample of 100 packets and measures the weights. The sample reveals an average weight of 98.29 gram, with a standard deviation of 1.2 gram.
Based on the above data, answer the given subquestions.
Q10MCQ2 Marks·Choose one option
Asked 4 times Key ↓
State the null and alternative hypotheses.
1. A
2. B
3. C
4. D
Q11MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
Choose the set of correct options.
1. A
2. B
3. C
4. D
Read the passage below, then answer Q12–Q13
Based on the above data, answer the given subquestions.
Q12MCQ2 Marks·Choose one option
Asked 5 times Key ↓
Find the Marginal distribution of X.
1. A
2. B
3. C
4. D
Q13NAT3 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Read the passage below, then answer Q14–Q15
Based on the above data, answer the given subquestions.
Q14MCQ3 Marks·Choose one option
Asked 3 times Key ↓
1. A
2. B
3. C
4. D
Q15NAT2 Marks·Write the number
Asked 3 times Key ↓
Your answer:

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q10.16 to 0.22

Q2A

Q3A

Q4A, C, D

Q5A, D

Q60.57 to 0.63

Q70.69 to 0.75

Q8C

Q90.37 to 0.43

Q10C

Q11A, B

Q12B

Q130.3 to 0.36

Q14C

Q151.3 to 1.36

Questions and answer keys are reproduced from the official IIT Madras BS papers. BTechi is not affiliated with IIT Madras.