[2](16) A wine manufacturer sells cabernet with a label that asserts an alcohol content of 11%. Sixteen bottles of this label are randomly selected and analyzed for alcohol content. The resulting observations are: 10.8 9.6 9.5 11.4 9.8 9.1 10.4 10.7 10.2 9.8 10.4 11.1 10.5 10.8 9 9.8 al A normal quantile plot of the data is shown below. Do you think that it is possible to construct a confidence interval based on the data in this case? Explain. If your response is no, then leave b) and c) blank for full credit. If it is yes, proceed to b) and c). B" bj Construct a 98% confidence interval for the true average alcohol content for the entire production. c Perform the hypothesis test on the wine manufacturer's claim with a significance level of 2% using the p-value method. Make sure that you set up the hypotheses properly. d) Do these results provide sufficient evidence to conclude that the wine manufacturer sells cabernet with a label that asserts an alcohol content of 11%? State your conclusion in your own words.[3](15) When 40 people used the Weight Watcher diet for one year, their mean weight loss was 3.00 lb and the standard deviation was 4.9 lb (based on data from "Comparison of the Atkins, Omish, Weight Watchers, and Zone Diet for Weight Loss and Heart Disease Reduction," by Dansinger et. al., Journal of the American Medical Association, Vol 293, No 1). We wish to test the claim that the mean weight loss is greater than 0. a) Set up the null and alternative hypotheses. Ho: HI: b) Is the test two-tailed, left-tailed, or right-tailed? Explain why. () Perform the hypothesis test with a significance level of 1% using the p-value method. d) Based on these results, does the diet appear to have statistical significance? Explain. e) Does the diet appear to have practical significance? Explain