A random sample of 41 observations from a normal

Chapter 7, Problem 117SE

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QUESTION:

Problem 117SE

A random sample of 41 observations from a normal population possessed a mean  = 88 and a standard deviation s = 6.9.

Questions & Answers

QUESTION:

Problem 117SE

A random sample of 41 observations from a normal population possessed a mean  = 88 and a standard deviation s = 6.9.

ANSWER:

Solution :

Step 1 of 3:

Given a random sample of size n=41.

Then the mean  and standard deviation s=6.9.

Our goal is :

a). We need to test the null hypothesis is  against the alternative hypothesis is .

b). We need to test the null hypothesis is  against the alternative hypothesis is .

a). Now we have to test the null hypothesis against the alternative hypothesis.

Then the null and alternative hypothesis are

againest

Now we have to find test statistic.

The formula for the test statistic is

 

We know that n, s and  values.

 63.48

Therefore, the

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