Assignment Scenario that you need to answer is below:

Suppose you administer a certain aptitude test to a random sample of 9 students in your high school, and the average score is 105. Assume a standard deviation of = 15 for the test. We want to test that the average aptitude test is more than 100 at the= 0.05level. List out the five steps in hypothesis testing and be sure to write sentences explaining what you should do using the information given to you in the previous sentences.

This is what I have so far.. Is this correctjQuery224048936302435608514_1594672467983

Sample mean = 105

Population standard deviation = 15

Sample size (n) = 9

Significance level = 0.05

Step 1: State the hypothesis and identify the claim

We want to state the null and alternative hypothesis:

= 100 (null) This means there is no difference between a parameter and a specific value.

> 100 (alternative) This states the existence of a difference between a parameter and a specific value.

Step 2: Compute the test value

This is one sided because we're only looking at the values of greater than 100. It is also a right tailed test because critical value is on the right side of the mean.

The test statistic is: (105 - 100) / (15/) = 1. The test value is 1.

Step 3: P value

we used standard normal table in book.

=1- p(z

=1- p(z

=1-0.8413

P- value = 0.1587

Step 4: Decision

Since, P-value=0.1587 > = 0.05

Because we used a p-value we can use the decision rule that states P-value > , do not reject the null hypothesis .

Step 5: Conclusion

There is not enough evidence to claim that the population mean or the average aptitude test is more than 100 at = 0.05 level.