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.

Yards Per Carry In a recent season, the population standard deviation of the yards per carry for all running backs was 1.21. The yards per carry of 20 randomly selected running backs are listed. Assume the yards per carry are normally distributed.

2.8 3.9 5.0 4.4 3.3 3.8 4.8 4.9 3.8 4.2

3.9 3.6 4.0 3.7 6.0 7.2 4.8 2.9 5.3 4.5

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