The following table lists the weight of individuals before and after taking a diet prescribed by a weight-loss
The following table lists the weight of individuals before and after taking a diet prescribed by a weight-loss
company for a month:
| Individual | Weight Before (lb) | Weight After (lb) | Weight Loss (lb) |
| A | 123.2 | 108.6 | 14.6 |
| B | 124.1 | 105.6 | 18.5 |
| C | 113.1 | 101.9 | 11.2 |
| D | 189.8 | 173.7 | 16.1 |
| E | 140.9 | 121.1 | 19.8 |
| F | 139.3 | 127 | 12.3 |
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 standard deviation (sd) of the changes in individual weights. Give your answer to 2 decimal places.
sd =
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
HA: 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 acceptrejectnot reject the null hypothesis at a confidence level of 95%.
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