Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean X. b) What is the variance of X„? |c) Use your answer to part (b), and Chebyshev's inequality, to come up with a quantitative upper bound for the probability that X, is more than a certain distance of 175. (Choose a | istance you find illustrative).

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I need help with parts b and c.

Suppose that average male weight in the US is 175 pounds with a standard
deviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their
weight, and average the 1,000 numbers to compute a sample mean X.
b) What is the variance of X„?
|c) Use your answer to part (b), and Chebyshev's inequality, to come up with a quantitative
upper bound for the probability that X, is more than a certain distance of 175. (Choose a
| istance you find illustrative).
Transcribed Image Text:Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean X. b) What is the variance of X„? |c) Use your answer to part (b), and Chebyshev's inequality, to come up with a quantitative upper bound for the probability that X, is more than a certain distance of 175. (Choose a | istance you find illustrative).
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