The data below show the sugar content as a percentage of wei

The data below show the sugar content (as a percentage of weight) of several national brands of children’s and adults’ cereals. Assume the distributions of sugar content in both children’s cereals and adults’ cereals are mound-shaped and symmetrical.

a) Does the sample data provide sufficient evidence to conclude that the sugar content in children’s cereals is higher than that in adults’ cereals, on average? Perform a hypothesis test to find out.
b) If you conclude that children’s cereals have more sugar than adults’ cereals, estimate how much more with a 95% confidence interval for the difference in mean sugar content. Interpret.

Children’s cereals: 40.3, 55, 45.7, 43.3, 50.3, 45.9, 53.5, 43, 44.2, 44, 47.4, 44, 33.6, 55.1, 48.8, 50.4, 37.8, 60.3, 46.6
Adults’ cereals: 20, 30.2, 2.2, 7.5, 4.4, 22.2, 16.6, 14.5, 21.4, 3.3, 6.6, 7.8, 10.6, 16.2, 14.5, 4.1, 15.8, 4.1, 2.4, 3.5, 8.5, 10, 1, 4.4, 1.3, 8.1, 4.7, 18.4

Solution