Use the standard normal distribution or the t-distribution to construct a 90% co

Question

Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.39. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 1.9 4.5 6.8 6.9 5.3 3.6 4.7 3.2 3.1 2.1 1.6 5.3 5.4 2.7 3.7 4.1 3.9 3.67.32.9 6.6 4.6 4.5 2.75.2 yarus are ot normiaily uisiriouted. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice O A. 1, The 90% confidence interval is( Round to two decimal places as needed.) Neither distribution can be used to construct the confidence interval B.

Explanation / Answer

Solution:

90% Confidence Interval: 4.248 ± 0.52
(3.73 to 4.76)

Short Style: 4.248 (90% CI 3.728 to 4.768)

Margin of Error: 0.52
(With more digits: 0.5233)

Sample Size: 25
Sample Mean: 4.248
Sample Standard Deviation: 1.5908
Confidence Level: 90%

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