Use a t-test to test the claim about the population mean mu at the given level of significance a, using the given sample statistics to answer (a) through (d). Assume the population is normally distributed.

Claim mu=52,600, a = 0.10. Sample statistic: x=52,365, s=1900, n=17.

(a) What are the null and alternative hypothesis?

(b) What is the value of the standardized test statistic?

(c) What is(are) the critical value(s)? use a comma to separate please.

(d) Decide whether to reject or fail to reject the null hypothesis.

A. Reject Ho. There is not enough evidence to reject the claim.

B. Fail to reject Ho. There is enough evidence to reject the claim.

C. Reject the Ho. There is enough evidence to reject the claim.

D. Fail to reject Ho. There is not enough evidence to reject the claim.