Xr14-58 How well do diets work? In a preliminary study, 20 people who were more than 50 pounds overweight were recruited to compare four diets.

The people were matched by age. The oldest four became block 1, the next oldest four became block 2, and so on. The number of pounds that each person lost are listed in the following table. Can we infer at the 1% significance level that there are differences between the four diets?

Diet Block 1 2 3 4 1 5 2 6 8 2 4 7 8 10 3 6 12 9 2 4 7 11 16 7 5 9 8 15 14