(Steps Shown) Choosing a Distribution. Use the standard normal distribution or the t -distribution to construct a 95 \% confidence interval for the population


Question: Choosing a Distribution. Use the standard normal distribution or the \(t\) -distribution to construct a \(95 \%\) confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. If convenient, use technology to construct the confidence interval.

Body Mass Index In a random sample of 50 people, the mean body mass index (BMI) was 27.7 and the standard deviation was 6.12.

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