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A random sample of 41 observations from a normal
Chapter 7, Problem 117SE(choose chapter or problem)
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