Question
Ten overweight people participated in a study where their body mass index, BMI, was measured before and after participating in a six month exercise program.
Ten overweight people participated in a study where their body mass index, BMI, was measured before and after participating in a six month exercise program. The results of the study are shown below.
Before | 27.1 | 31.8 | 25.3 | 31.7 | 32.8 | 30.1 | 34.1 | 32.3 | 25.3 | 31.6 |
---|---|---|---|---|---|---|---|---|---|---|
After | 28 | 29.5 | 23.4 | 31.3 | 28.5 | 28 | 28.4 | 28.9 | 23.1 | 28.6 |
Assume both follow a Normal distribution.
For this study, we should use Select an answer t-interval for the difference between two independent population means z-interval for the difference between two population proportions t-interval for a population mean t-interval for the difference between two dependent population means z-interval for a population proportion
Compute the 99% confidence interval for the difference. Round to one decimal place.
(, )
Interpret the confidence interval in the context of the study:
- With 99% confidence the BMI for the ten participants in the study decreased between 0.5 and 4.4.
- With 99% confidence the population mean BMI is decreased by between 0.5 and 4.4 after the implementation of the exercise program.
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