A nutritionist has developed the West River Diet and is testing it on ten randomly selected clients before publishing the diet in a trade magazine. In particular, the nutritionist would like to be able to claim that the West River Diet will cause a mean weight loss of 10 pounds in the first month. The data are shown below.

Client	1	2	3	4	5	6	7	8	9	10
Before	185	205	253	162	145	315	196	195	154	221
After	180	190	258	151	135	302	192	187	141	206

1. Give a short statistical summary of the results. Does the nutritionist have statistical evidence to support the claim of an average 10 pound weight loss in the first month? Show how you arrived at your answer.
2. Give a 95% confidence interval on mean weight loss. Write a brief interpretation of this confidence interval.
3. Client 3 gained weight on this diet. Reanalyze the data without Client 3. Compare the mean weight loss with and without Client 3? Does your conclusion change? Should this client be excluded from the analysis because they gained weight?
4. Discuss whether you believe the weight loss claim from this study will apply to a broad population. Explain your reasoning.