In a study on speed dating females rated the "attractiveness" of males. In a random sample of 187 female speed dating participants, on average men received a 6.14 on a scale from 1 to 10. It is believed from the results of previous studies that these ratings are normally distributed with a standard deviation of 1.73. Use a 0.01 significance level to test the claim that the population of such ratings is less than 7.00. a. Identify the null and alternative hypothesis b. Calculate by hand the test statistic for this hypothesis test c. Use Table A-2 to determine the necessary P-Value. d. State the final conclusion which addresses the original claim. e. Identify a major issue with using inferential methods with this mean attractiveness rating. (Hint: Consider an individual's attractiveness rating. Would someone get the same rating from every other person?)