If it is assumed that the heights of men are normally distributed with a standard deviation of 1.5 inches, how large a sample should be taken to be fairly sure (probability 0.95) that the sample mean does not differ from the true mean (population mean) by more than 0.90

We need a sample of at least 8 men.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the margin of error M as such

In which is the standard deviation of the population and n is the size of the sample.

In this problem:

We need to have a sample of at least n.

n is found when . So

Rounding up

We need a sample of at least 8 men.

answer:   14

step-by-step explanation:          

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