An advertisement for a diet program described a study performed on 70 obese adul

Question

An advertisement for a diet program described a study performed on 70 obese adults. Each person in the study was weighed before beginning the diet and then 5 weeks after starting the diet. The difference was recordeddash–a positive value indicates a person lost weight on the diet while a negative value indicates the person gained weight while on the diet. The advertisement gave a 95% confidence interval for the average weight change while on the diet: (minus1,5) lbs. The advertisement says that this shows the diet works at reducing weight for obese adults since more people lost weight than gained weight. What conclusion can be made about the weight loss program?

A) Their interpretation of the confidence interval is not correct. Because the lower bound is negative, some people did gain weight which means that we can't claim the diet works at reducing weight for all obese adults.

B) Their interpretation of the confidence interval is correct.

C) Their interpretation of the confidence interval is not correct. Because 0 is in the interval, there is no evidence to indicate that the average weight loss is more than 0 for obese adults.

D) Their claim that the diet works is accurate, but for the wrong reason. Because 0 is in the interval, there is evidence to indicate the average weight loss is more than 0 for obese adults.

Explanation / Answer

Interpretations:
1) We are 95% sure that the interval [-1.5, and so on ] contains the difference between
true population mean U1 - U2
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 95% of these intervals will contains the difference between
true population mean U1 - U2
3) Since this Cl does contain a zero we can conclude at 0.05 true mean
difference is zero      

A) Their interpretation of the confidence interval is not correct. Because the lower bound
is negative,, some people did gain weight which means that we cant claim the diet works at
reducing weight for all obese adults.

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