Use technology and a t-test to test the claim about the population mean mu at the given level of significance alpha using the given sample statistics. Assume the population is normally distributed.

Claim: mu>74; alpha=0.01Sample statistics: x overbar=75.5, s=2.9, n=29

1)What are the null and alternative hypotheses? Choose the correct answer below.

A)H0: munot equals74 HA: mu=74 B)H0: mu<=74HA: mu>74 C)H0: mu=74HA: munot equals74 D)H0: mu> or equals74HA: mu<74

2)What is the value of the standardized test statistic?

3)What is the P-value of the test statistic?

4)Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

A)Fail to reject Upper H 0. There is not enough evidence to support the claim.

B)Reject Upper H 0. There is enough evidence to support the claim.

C)Fail to reject Upper H 0. There is enough evidence to support the claim

D)Reject Upper H 0. There is not enough evidence to support the claim.