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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. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.36. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.6 3.5 3.1 4.6 3.4 4.9 7.4 6.7 4.3 5.2 3.9 4.6 O A. The 95% confidence interval is 2.9 5.6 6.6 7.3 6.5 7.2 5.6 1.9 2.7 5.2 2.8 3.6 OD. Use a t-distribution because n < 30 and o is unknown. XE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the data are not normally distributed. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to two decimal places as needed. OB. Neither distribution can be used to construct the confidence interval. 4.1

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. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.36. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.6 3.5 3.1 4.6 3.4 4.9 7.4 6.7 4.3 5.2 3.9 4.6 O A. The 95% confidence interval is 2.9 5.6 6.6 7.3 6.5 7.2 5.6 1.9 2.7 5.2 2.8 3.6 OD. Use a t-distribution because n < 30 and o is unknown. XE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the data are not normally distributed. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to two decimal places as needed. OB. Neither distribution can be used to construct the confidence interval. 4.1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The 95% confidence interval is (_,_)
← 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. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.36. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 23 2.6 65 3.5 3.1 4.6 3.4 4.9 7.4 4.3 3.9 6.7 5.2 4.6 2.9 5.6 OA. The 95% confidence interval is 6.6 7.3 6.5 7.2 1.9 5.6 (Round to two decimal places as needed.) OB. Neither distribution can be used to construct the confidence interval. 2.7 2.8 5.2 3.6 D. Use a t-distribution because n < 30 and o is unknown. XE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the data are not normally distributed. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. 4.1 IN
Transcribed Image Text:← 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. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.36. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 23 2.6 65 3.5 3.1 4.6 3.4 4.9 7.4 4.3 3.9 6.7 5.2 4.6 2.9 5.6 OA. The 95% confidence interval is 6.6 7.3 6.5 7.2 1.9 5.6 (Round to two decimal places as needed.) OB. Neither distribution can be used to construct the confidence interval. 2.7 2.8 5.2 3.6 D. Use a t-distribution because n < 30 and o is unknown. XE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the data are not normally distributed. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. 4.1 IN
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