Afood company is concerned about recent criticism of the sugar content of their children's cereals. The accompanying data show the sugar content (as a percentage of weight) of several brands of children's and adults' cereals. Are children's cereals really different from adults' cereals in sugar content? Assume or = 0.05. Complete parts a through d below. @ Click the icon to view the data. <:> {j' E. Yes, the conditions are satised because it can be assumed that the data values are independent and the two groups are independent. c) Complete the test and report your conclusion. Find the test statistic. (If there is no smaller group, use the children's cereal group.) T = E (Type an integer or a decimal.) What is the P-value for this test? B (Round to four decimal places as needed.) What is the conclusion for this test? (:3 A. Do not reject H0. There is not sufcient evidence that the children's cereal distribution is higher than the adult's cereal distribution. {:3 B. Do not reject H0. There is not sufcient evidence that one distribution is shifted in location higher or lower than the other. C. Reject H0. There is sufcient evidence that the children's cereal distribution is higher than the adult's cereal distribution. Cir D. Reject Ho. There is sufcient evidence that one distribution is shifted in location higher or lower than the other. '12:} E. Do not reject H0. There is sufcient evidence that one distribution is shifted in location higher or lower than the other. d) Make histograms of each group. Discuss whether you would choose a nonparametric test for these data or a two-sample t-test. Construct a histogram for the children's cereal group. Choose the correct graph below. A. {:2- B. {:2- C. cjj D. Q 15 q 15 Q 0 Q 0 Q o 5 r5 5 [3 5 m [3 O 0 0 O 20 40 60 20 40 60 20 40 60 20 40 60 Children's cereal Children's cereal _\\ U1 9,9 Frequency Frequelcy Frequency Frequ:y 01 3 Children's cereal Children's cereal Construct a histogram for the adults' cereal group. Choose the correct graph below. {:23 A. C:- B. 15 a 15 Q Q 0 Q [3' 5 r3 r3 [3' 0 0 0 0 0 10 20 30 0 10 20 30 0 10 20 30 0102030 Adults' cereal Adults' cereal Adults' cereal Adults' cereal _. O _' _' 01 0 Frequency _. ()1 0 Frequency Frequency 01 Frequency Is a nonparametric test or a two-sample t-test more appropriate for these data? . The nearly Normal condition for the t-test El violated. The V , so a |:| test is a better choice. The distribution for Adults' cereals is . The distribution for Children's cereals is data |:| be re-expressed because - X Data Ful Children's cereals: 45.4, 55.4, 52.9, 42.4, 34.4, 57.1, 42.4, 54, 45.7, 27.6, 44.8, 33.6, 41.8, 42, 27.4, 45.5, 62.1, 52.7, 49.7 Adults' cereals: 7, 21.5, 11.2, 20.9, 8.9, 9.8, 31.2, 14.6, 17.8, 12.5, 7.4, 1.6, 4.6, 19, 3, 16.8, 2.3, 2.1, 2.8, 3.7, 5.6, 30.4, 3, 2.4, 10.3, 3.7, 1.3 Print Done