A recent study found that 65 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 37 grams of potato chips as compared to a mean of 28 grams for 55 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.1 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.5 grams. Complete parts (a) through (d) below. a. Assuming that the population variances are equal and a = 0.05, is there evidence that the mean amount of potato chips eaten was significantly higher for the children who watched the celebrity-endorsed commercial? Let population 1 be the weights of potato chips eaten by children who watched the celebrity-endorsed commercial and let population 2 be the weights of potato chips eaten by children who watched the alternative food snack commercial. What are the correct null and alternative hypotheses? O A. HO: H1 - H2 # 0 OB. HO: H1 - H2 20 H1: H1 - H2 = 0 H1: H1 - H20 H1: H1 - H2 # 0 What is the test statistic? tSTAT = (Round to two decimal places as needed.) What is the correct conclusion? O A. Do not reject Ho. There is sufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. O B. Reject Ho. There is insufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. O C. Reject Ho. There is sufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. O D. Do not reject Ho. There is insufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. b. Assuming that the population variances are equal, construct a 95% confidence interval estimate of the difference , - H2 between the mean amount of potato chips eaten by the children who watched the celebrity-endorsed commercial and children who watched the alternative food snack commercial. SH 1 - H2 5 (Type integers or decimals rounded to two decimal places as needed.)c. Compare and discuss the results of (a) and (b). Choose the correct answer below. O A. The confidence interval in part (b) does not contain 0, which does not agree with the decision made in part (a) to not reject the null hypothesis. O B. The confidence interval in part (b) contains 0, which does not agree with the decision made in part (a) to reject the null hypothesis. O C. The confidence interval in part (b) contains 0, which agrees with the decision made in part (a) to not reject the null hypothesis. O D. The confidence interval in part (b) does not contain 0, which agrees with the decision made in part (a) to reject the null hypothesis. O E. The results cannot be compared, because part (a) is a one-tail test and part (b) is a confidence interval that is comparable only to the results of a two-tail test. d. Based on the results of (a) and (b), if you wanted to increase the consumption of this brand of potato chips, which commercial would you choose? O A. Choose the commercial without the celebrity endorser, since there is evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. O B. Choose the commercial with the celebrity endorser, since there is evidence that the mean amount of potato chips eaten was significantly lower for children who watched the celebrity-endorsed commercial. O C. Choose the commercial with the celebrity endorser, since there is evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. O D. Choose the commercial without the celebrity endorser, since there is evidence that the mean amount of potato chips eaten was significantly lower for children who watched the celebrity-endorsed commercial