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

Claim: μ ≥8300, α=0.10
Sample statistics: ¯x=8000, s=440, n=24

Required:
a. What are the null and alternative hypotheses?
b. What is the value of the standardized test statistic? (Round to 2 decimal places as needed.)
c. What is the p-value? (Round to three decimal places as needed.)
d. Decide whether to reject or fail to reject the null hypothesis.