A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are n=190​, x=6.54​, s=1.84. Use a 0.01 significance level to test the claim that...

A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are

Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

a) What are the null alternative and alternative hypotheses?

b) Determine the test statistic.

c) Determine the P-value.

d. (reject/fail to reject). There is (sufficient/not sufficient) evidence to conclude that the mean of the population of ratings is (=, not, <,>) 7.00