A sample of 77 subjects went on a lowcarbohydrate diet for s

A sample of 77 subjects went on a low-carbohydrate diet for six months resulting in a mean weight loss of 4.7 ± 0.54 kg (mean ± standard error). A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 ± 0.664 kg.

a) Calculate a 95% confidence interval for the difference between the two types of diets with regard to the true average weight loss. Use interval notation.

b) Based on this confidence interval, do you conclude that there is a difference in weight loss between the two types of diets? Explain.

Solution