Problem
1. "At baseline the sample had a mean weight of $113.1 \mathrm{~kg}$ (SD=14.2 kg)." a. At baseline the sample had a mean weight of pounds. b. Approximately $68 \%$ of the sample had a weight at baseline that was no further than one standard deviation away from the sample mean - that is, from $\mathrm{kg}$ to $\mathrm{kg}$. c. Approximately $95 \%$ of the sample had a weight at baseline that was no further than two standard deviations away from the sample mean - that is, from $\mathrm{kg}$ to $\mathrm{kg}$. d. Approximately $99 \%$ of the sample had a weight at baseline that was no further than three standard deviations away from the sample mean - that is, from $\mathrm{kg}$ to $\mathrm{kg}$.
Solution
Step 1 ：Given that the mean weight of the sample at baseline in kilograms is 113.1 kg.
Step 2 ：We are asked to convert this weight into pounds. We know that 1 kg is approximately equal to 2.20462 pounds.
Step 3 ：Multiplying the mean weight in kilograms by the conversion factor gives us the mean weight in pounds.
Step 4 ：\(113.1 \times 2.20462 = 249.34252199999997\)
Step 5 ：Rounding this to two decimal places, we get 249.34 pounds.
Step 6 ：Final Answer: The mean weight of the sample at baseline in pounds is approximately \(\boxed{249.34}\).
