A food company is concerned about recent criticism of the sugar content of theirchildren's cereals. The company would like to know if there is a difference between the sugar content ofchildren's cereals andadults' cereals. The data show the sugar content(as a percentage ofweight) of several national brands ofchildren's andadults' cereals. Complete parts a through d.

Children's cereal: 40.3, 59.3, 48, 44, 53.5, 46.6, 50.6, 42, 42.3, 41.1, 48.4, 41.8, 38.6, 57.5, 46.2, 54.5, 37.7, 58.7, 42.2, 31.6

Adults' cereal: 23.9, 26.8, 4.1, 5.3, 0.2, 24.5, 17.1, 13.4, 20.8, 5.7, 7.5, 11.5, 17, 12.8, 3.2, 17.9, 0.8, 3.1, 1.2, 6.5, 13.1, 4.2, 4, 1.2, 7.2, 1.7, 17.3, 9.6, 15.2, 14.7

a) Write the null and alternative hypotheses.

Let group C correspond tochildren's cereals and group A correspond toadults' cereals. Choose the correct answer below.

A. H0: CA0, HA: CA=0

B. H0: CA=0, HA: CA>0

C. H0: CA=0, HA: CA0

D. H0: CA<0, HA:CA=0

b) Check the conditions.

Which of the following conditions are satisfied for the givendata? Select all that apply.

[ ] Nearly normal condition

[ ] Randomization condition

[ ] Independent groups assumption

c) Find the95% confidence interval for the positive difference in means.

The95% confidence interval is (__ grams, __ grams). (Round to two decimal places asneeded.)

d) Is there a significant difference in mean sugar content between these two types ofcereals? Explain.

(drop-down: Yes, no). The95% confidence interval is (drop-down: does not contain, contains) 0, conclude that the mean sugar content for the two cereals (drop-down: is, is not) significantly different at the5% level of significance.