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A sample of n=23 observations is drawn from a normal population with μ=960 and σ=160. Find...

A sample of n=23 observations is drawn from a normal population with μ=960 and σ=160. Find each of the following:

A. P(X¯>1013)

I have a general idea of how to get the z- score, but am having trouble moving forward from there.

Math   Statistics-And-Probability   
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Answer #1

Given observations from a normal population with μ=960 and σ=160. We need to find,

. The mean of the sample mean . The standard deviation of the sample mean is

. We compute the probability by converting to Z-score.

The probability,

I assume X¯ stands for . Otherwise you have to drop in the above calculations.

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