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A simple random sample of size n = 15 is drawn from a

Chapter 6, Problem 3AYU

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QUESTION:

A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be 23.8, and the sample standard deviation is found to be 6.3. Is the population mean different from 25 at the \(\alpha = 0.01\) level of significance?

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QUESTION:

A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be 23.8, and the sample standard deviation is found to be 6.3. Is the population mean different from 25 at the \(\alpha = 0.01\) level of significance?

ANSWER:

Step 1 of 2

The hypotheses :  versus : .

We know that 

 = 23.8.

s = 6.3.

n = 15.

 = 25.

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