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8. The trend of thinner Miss America winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are the body mass indexes (BMI) for Miss America winners from two different time periods. Consider the lists simple random samples from normally distributed populations. Round the sample mean and the sample standard deviation to two decimal places BMI (recent winners) 49.5 20.6 19.6 20.2 17.8 17.9 19.1 18.8 17.6 16.8 BMI (from 1920s and 30s) 20.4 21.9 22.1 22.3 20.3 18.8 18.9 19.4 18.4 19.1 a. Use a 0.05 level of significance to test the claim that recent winners have a lower mean BMI than that of winners from the 20s and 30s. Use the p-value method. b. Construct a 90% confidence interval for the difference between the mean BMI of recent winners and the mean BMI of winners from the 20s and 30s. C. Based on the above, does it appear that the mean BMI has decreased? pageMICK . .. 8 ) a ) to : NI = / 2 Ex-520 Pual = 0692 Do not reject the b " ) (- 4.09, 7.35 There is no difference C) yes they are