Question

Let X be the average of a sample of 16 independent normal random variables with mean 0 and variance 1. Determine c such that

P (|X| < c) = .5

Answer 1

Answer: Let X¯¯¯¯

be the average of a sample of 16

independent normal random variables with mean 0

and variance 1

. Determine c such that P(|X¯¯¯¯|<c)=.5

I am having a lot of trouble with this question. I know it is related to chi-square but I don't know how to even start.

Explanation: