Use the standard normal distribution or the t-distribution to construct a 99% co

Question

Use the standard normal distribution or the t-distribution to construct a 99% 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 1.35. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 14 6.8 4.8 5.2 6.6 5.6 5.2 4.6 5.5 2.6 2.5 2.7 6.3 4.7 3.33.4 5.9 5.9 4.6 7.5 5.7 5.5 4.9 7.3 4.2 Select the correct choice below and, if necessary, fll in any answer boxes to complete your choice. o A. The 99% confidence interval isd D O B. Neither distribution can be used to construct the confidence interval. Click to select and enter your answer(s) and then click Check Answer (Round to two decimal places as needed.) part Clear All Check Answer O Type here to search

Explanation / Answer

A. 4.033, 5.7827

Mean 4.9080 Std. dev. 1.5636 n 25 Std. Error = Std.dev./sqrt(n) 0.3127 t-value 2.7969 ME = t*SE 0.8747 Lower limit = Mean - ME 4.0333 Upper limit = Mean + ME 5.7827

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