Assume you are a nutritionist who has been asked to determin

Assume you are a nutritionist who has been asked to determine whether there is a difference in sugar content among the three leading brands of breakfast cereal (brands A, B, and C). To assess the amount of sugar in the cereals, you randomly sample six packages of each brand and chemically determine their sugar content. The following grams of sugar were found:

Breakfast Cereal

A       B       C

1        7       6

2        5       4

3       3       4

3       7      5

2      4      7

6      7     8

a. Using the conceptual equations of the one-way ANOVA, determine whether any of the brands differ in sugar content. Use a = 0.05

b. Same as part a, except use the computational equations. Which do you prefer? Why?

c. Do a post hoc analysis on each pair of means using the Tukey HSD test with a = 0.05 to determine which cereals are different in sugar content.

d. Same as part c, but use the Scheffe test.

e. Explain any differences between the results of part c and part d

Solution