We make the claim that the mean test score on a statistics e

We make the claim that the mean test score on a statistics exam is 75 with ? = 5. We believe the mean may be higher. With 95% confidence, we take a random sample of 25 test scores to test our theory.

State the null and alternative hypotheses.

Calculate the value(s) of the sample mean that would cause us to reject Ho.

Suppose the actual mean test score is 78, calculate beta.

Solution

Ho:mu= 75

Ha:mu>75

1.96<= x-75/5/sqrt(25)

x>= 76.96 (scores of 76.96 or higher would cause us to reject Ho.