IITM BS Question 8 - Week 10 Practice

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IITM BS Question 8 - Week 10 Practice | Prasnya

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Q8Numerical3 Marks10 May 2026

Let

X_1, \dots, X_{100}

be a sample from a normal distribution having a variance of 25. We wish to test the hypothesis

H_0: \mu = 0

against

H_1: \mu = 1.5

. Consider a test that rejects

H_0

for

\bar{X} > c

, where

\bar{X}

is the sample mean. Find the value of

c

at a significance level

\alpha = 0.05

. Enter the answer correct to two decimal places.

Your answer

Press Enter to check.

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10 May 2026

Statistics 2 · Week 10

Q8.Let

X_1, \dots, X_{100}

be a sample from a normal distribution having a variance of 25. We wish to test the hypothesis

H_0: \mu = 0

against

H_1: \mu = 1.5

. Consider a test that rejects

H_0

for

\bar{X} > c

, where

\bar{X}

is the sample mean. Find the value of

c

at a significance level

\alpha = 0.05

. Enter the answer correct to two decimal places.

Your Answer

Save

Check

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