IITM BS Question 5 - Week 3 Practice

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IITM BS Question 5 - Week 3 Practice | Prasnya

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Q5Comprehension2 Marks3 Aug 2025

Passage

A researcher collects two independent random samples of size

100

each from the same population with mean

\mu

and variance

\sigma^2

. Let

\bar X_1

and

\bar X_2

be the sample means. It is given that

\operatorname{Var}(\bar X_1-\bar X_2)=72

. Based on the above data, answer the given subquestions.

Y=\bar X_1-\bar X_2

, use Chebyshev’s inequality to find a lower bound for

P(|Y|<18)

. Enter the answer correct to two decimal places.

Your answer

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00:00

3 Aug 2025

Statistics 2 · Week 3

Q5.If

Y=\bar X_1-\bar X_2

, use Chebyshev’s inequality to find a lower bound for

P(|Y|<18)

. Enter the answer correct to two decimal places.@passage

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