# Suppose the heights of a population of men are normally distributed with an unknown population mean and a population standard deviation of 2.4  inches. A random sample of men from the population produces a sample mean  height of x ¯ =68.2  inches.What value of z  should be used to calculate a confidence interval with a 90%  confidence level?z 0.10  z 0.05  z 0.025  z 0.01  z 0.005  1.282 1.645 1.960 2.326 2.576

Question

Suppose the heights of a population of men are normally distributed with an unknown population mean and a population standard deviation of 2.4  inches. A random sample of men from the population produces a sample mean  height of x ¯ =68.2  inches.

What value of z  should be used to calculate a confidence interval with a 90%  confidence level?

z 0.10   z 0.05   z 0.025   z 0.01   z 0.005
1.282  1.645  1.960  2.326  2.576
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Step 1

The provided confidence interval is 90%. The z-value is obtained using Excel.

Step 2

Follow the below steps to obtain the z-value corresponding to the 90% confidence level.

1. Subtract the confidence interval from 1, 1-0.9 = 0.1 to obtain the level of significance.
2. Divide the obtained value by...

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