In: Statistics and Probability
A food company is concerned about recent criticism of the sugar content of their children's cereals. The company would like to know if there is a difference between the sugar content of children's cereals and adults' cereals. The data show the sugar content (as a percentage of weight) of several national brands of children's and adults' cereals. Complete parts a through d. Full data set Children's cereal: 41.3 comma 56.2 comma 49.8 comma 43.6 comma 54.6 comma 46.8 comma 53.3 comma 40.5 comma 44.3 comma 42.1 comma 46.9 comma 41.2 comma 36.3 comma 59.2 comma 47.4 comma 51.3 comma 36.9 comma 58.4 comma 41.2 comma 34.2 Adults' cereal: 21.4 comma 29 comma 4.4 comma 8.1 comma 1.1 comma 21.4 comma 18.2 comma 11.3 comma 23.2 comma 7.6 comma 6.5 comma 11.2 comma 15.5 comma 13.3 comma 0.4 comma 17.2 comma 3.1 comma 3.5 comma 2.5 comma 5.5 comma 14 comma 4.6 comma 4.1 comma 0.8 comma 6.9 comma 1.7 comma 15.8 comma 6.2 comma 16.9 comma 11.5 a) Write the null and alternative hypotheses. Let group C correspond to children's cereals and group A correspond to adults' cereals.