Adata set about speed dating includes "like" ratings of male dates made by the female dates. the summary statistics are nequals187, x overbarequals7.57, sequals1.85. use a 0.01 significance level to test the claim that the population mean of such ratings is less than 8.00. 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.