A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=183, x=6.56, s=1.91. 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. What are the null and alternative hypotheses?