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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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