Question: Investigating the claims of weight-loss clinics.The U.S. Federal Trade Commission assesses fines and other penalties against weight-loss clinics that make unsupported or misleading claims about the effectiveness of their programs. Brochures from two weight-loss clinics both advertise “Statistical evidence” about the effectiveness of their programs. Clinic A claims that the mean weight loss during the first month is 15 pounds; Clinic B claims a median weight loss of 10 pounds.

a.Assuming the statistics are accurately calculated, which clinic would you recommend if you had no other information? Why?

b.Upon further research, the median and standard deviation for Clinic A are found to be 10 pounds and 20 pounds, respectively, while the mean and standard deviation for Clinic B are found to be 10 and 5 pounds, respectively. Both are based on samples of more than 100 clients. Describe the two clinics’ weight-loss distributions as completely as possible, given this additional

information. What would you recommend to a prospective client now? Why?

c.Note that nothing has been said about how the sample of clients upon which the statistics are based was selected. What would additional information be important regarding the sampling techniques employed by the clinics?

Given that clinic A claims that that means weight loss during the first month is pounds. The clinic B claims a median weight loss of pounds.

By calculating to find that clinic A claims that mean weight loss of during 15 pounds. And the clinic B claims that the median weight loss of 10 pounds. They are accurately calculated. For this case, we take a clinic B with a median weight loss of during 15 pounds. If we take clinics, then we can avoid the weight loss clinic B that makes unsupported or misleading claims about their effectiveness.

Given that clinic A has median 10 pounds and standard deviation 20 pounds. Similarly, the B clinic has median pounds and standard deviation 5 pounds. Previously they know that clinic A has to mean weight loss of 15 pounds. The two clinics' weight loss distribution follows the normal distribution. Recommend to a prospective client is the clinic A . So, the clinic A follows a normal distribution with a mean weight loss of 15 pounds and a standard deviation of 20 pounds.

The additional information is clinic A has median 10 pounds and the clinic B has a median 10 . The two clinics have the same median. One know that normal distribution is symmetric distribution. Where mean median and mode are equal, in terms of the sample strategies utilized by both clinics, a planned experiment approach would be the greatest alternative.