Question

The following table lists the weight of individuals before and after taking a diet prescribed by a weight-loss company for a month:

Weight-loss Data
Individual	Weight Before (lb)	Weight After (lb)	Weight Loss (lb)
A	138.0	119.3	18.7
B	129.6	110.2	19.4
C	120.6	104.1	16.5
D	160.3	152.1	8.2
E	149.7	134	15.7
F	150.6	132.1	18.5

You may find this Student's t distribution table useful in answering the following questions. You may assume that the differences in weight are normally distributed.

a)Calculate the sample variance (s_d²) of the changes in individual weights. Give your answer to 2 decimal places.

s_d² =

b)A disgruntled customer states:

"This weight-loss company is a complete farce. All the people I know who signed up experienced no changes in their weight at all. I seriously doubt this diet has any effect whatsoever. I want my money back!"

You plan to do a hypothesis test on this claim where the hypotheses are:

H₀: the customer's claim is true and the program has no effect on weight
H_A: the customer's claim is not true and the program does have an effect on weight, whether it increases or decreases

According to the data given, you should accept, reject, not reject the null hypothesis at a confidence level of 99%.

Answer 1

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