Question: (DSB). A study examining the relationship between number of hours of exercise and percent of body fat was conducted using a simple random sample of 50 adults living in the United States. The following table presents the 95% confidence intervals [3.17, 4.23] and [26.89, 30.11] for the means of the two variables and space for other summary information.

(n = 50)

1. Complete the information in the table.
2. Suppose that a similar study is to be conducted in Australia.

- Using the sample standard deviation for the number of hours of exercise in the US study as your best guess for the standard deviation, find the sample size needed to estimate the mean number of exercise hours in Australia within 0.25 hours with 99% confidence.

- Using the sample standard deviation for percent of body fat in the US study as your best guess for the standard deviation, find the sample size needed to reduce the margin of error for percent of body fat used in the US study by half with 99% confidence.

- What is the smallest sample size that will ensure that both criteria are satisfied?

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