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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 1.29. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 1.6 4.7 5.4 5.6 2.7 2.5 5.3 3.8 5.9 4.7 3.9 4.4 3.8 2.6 2.2 2.6 5.6 2.5 3.6 6.8 3.5 4.4 4.4 4.6 4.2 Which distribution should be used to construct the confidence interval? Ol. Use a normal distribution because o is known and the data are normally distributed. O B. Use a t-distribution because n<30 and o is known. OC. Use a normal distribution because n<30, the data are normally distributed and o is unknown. O D. Use a t-distribution because n< 30 and o is unknown. O E. Cannot use the standard normal distribution or the t-distribution because o is unknown, n < 30, and the data are not normally distributed.

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 1.29. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 1.6 4.7 5.4 5.6 2.7 2.5 5.3 3.8 5.9 4.7 3.9 4.4 3.8 2.6 2.2 2.6 5.6 2.5 3.6 6.8 3.5 4.4 4.4 4.6 4.2 Which distribution should be used to construct the confidence interval? Ol. Use a normal distribution because o is known and the data are normally distributed. O B. Use a t-distribution because n<30 and o is known. OC. Use a normal distribution because n<30, the data are normally distributed and o is unknown. O D. Use a t-distribution because n< 30 and o is unknown. O E. Cannot use the standard normal distribution or the t-distribution because o is unknown, n < 30, and the data are not normally distributed.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 1.29. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.5 1.6 5.4 2.7 5.3 3.8 4.7 4.4 3.8 2.2 2.6 5.6 2.5 4.7 5.6 3.6 6.8 3.5 5.9 3.9 44 2.6 4.4 4.6 4.2 .... Which distribution should be used to construct the confidence interval? Ol. Use a normal distribution because o is known and the data are normally distributed. O B. Use a t-distribution because n<30 and o is known, OC. Use a normal distribution because n< 30, the data are normally distributed and o is unknown. O D. Use a t-distribution because n<30 and o is unknown. O E. Cannot use the standard normal distribution or the t-distribution because o is unknown, n < 30, and the data are not normally distributed. Help Me Solve This View an Example Get More Help - Clear All Check Answer to search 71°F Clear 9:08 10/21/ hp
Transcribed Image Text: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 1.29. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.5 1.6 5.4 2.7 5.3 3.8 4.7 4.4 3.8 2.2 2.6 5.6 2.5 4.7 5.6 3.6 6.8 3.5 5.9 3.9 44 2.6 4.4 4.6 4.2 .... Which distribution should be used to construct the confidence interval? Ol. Use a normal distribution because o is known and the data are normally distributed. O B. Use a t-distribution because n<30 and o is known, OC. Use a normal distribution because n< 30, the data are normally distributed and o is unknown. O D. Use a t-distribution because n<30 and o is unknown. O E. Cannot use the standard normal distribution or the t-distribution because o is unknown, n < 30, and the data are not normally distributed. Help Me Solve This View an Example Get More Help - Clear All Check Answer to search 71°F Clear 9:08 10/21/ hp
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