Let \(\displaystyle\overline{{X}}\) be the mean of a

Jazmyn Holden

Jazmyn Holden

Answered question

2022-03-21

Let X be the mean of a random sample of size n from N(μ,9). Find n so that P(X1<μ<X+1)=.9
This problem is given at the end of a chapter in my statistics textbook concerning confidence intervals for means.

Answer & Explanation

diocedss33

diocedss33

Beginner2022-03-22Added 12 answers

If W is a standard normal random variable, then notice that μX is i.i.d to d3nW. Thus we need to find n such that
P(|W|<n3)=0.9.
A z table can then be used to find n31.645n24

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