Question

A Internet food delivery company advertises that it has 3 different diets that will result in weight loss if strictly followed. One diet is advertised as a moderate weight loss, a second offers a slightly more aggressive weight reduction program, and a third that is the most aggressive weight loss. The company gathers some data by taking a random sample from people using the different diets at the end of a two months trial. The data on weight loss are recorded below. ( This is an ANOVA problem)

Diet 1	Diet 2	Diet 3
5	7	12
7	11	15
9	13	17
11	17	20

1. What type of data are these values? Quantitative data as all the values are numerical.

2. Can these data be generalized? Explain. Yes as the random sample of people is used.
3. Can cause and effect statements be made? Explain. Yes as the type of diet will affect weight loss.
4. Conduct a test to see if the weight losses are equal with the three diets using a alpha of .05.
5. Construct 95% confidence intervals.

Factor	N	Mean	StDev	95% CI
Diet 1	4	8.00	2.58	(4.12, 11.88)
Diet 2	4	12.00	4.16	(8.12, 15.88)
Diet 3	4	16.00	3.37	(12.12, 19.88)

6. Write a brief conclusion to the CEO of this firm. The wright losses are equal with the three diets

Answer 1