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 1.32. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per cary are normally distributed. 5.3 5.1 4.7 7.1 3.2 1.4 2.7 2.8 6.9 5.7 3.7 3.5 5.5 3.8 7.1 5.6 7.2 2.1 3.3 3.9 5.2 4.3 5.2 4.4 3.5 Which distribution should be used to construct the confidence interval ? O A. Use a t-distribution because n<30 and o is known. O B. Use a normal distribution becausen<30, the data are normally distributed and o is unknown. OC. Use a t-distribution because n<30 and o is unknown. O D. Use a normal distribution because o is known and the data are normally distributed. 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. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. . ) O A. The 90% confidence interval is ( (Round to two decimal places as needed.) O B. Neither distribution can be used to construct the confidence interval.
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 1.32. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per cary are normally distributed. 5.3 5.1 4.7 7.1 3.2 1.4 2.7 2.8 6.9 5.7 3.7 3.5 5.5 3.8 7.1 5.6 7.2 2.1 3.3 3.9 5.2 4.3 5.2 4.4 3.5 Which distribution should be used to construct the confidence interval ? O A. Use a t-distribution because n<30 and o is known. O B. Use a normal distribution becausen<30, the data are normally distributed and o is unknown. OC. Use a t-distribution because n<30 and o is unknown. O D. Use a normal distribution because o is known and the data are normally distributed. 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. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. . ) O A. The 90% confidence interval is ( (Round to two decimal places as needed.) O B. Neither distribution can be used to construct the confidence interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 1.32. The yards per carry of 25 randomly selected running backs
are shown below. Assume the yards per cary are normally distributed.
5.3
5.1
4.7
7.1
3.2
1.4
2.7
2.8
6.9
5.7
3.7
3.5
5.5
3.8
7.1
5.6
7.2
2.1
3.3
3.9
5.2
4.3
5.2
4.4
3.5
Which distribution should be used to construct the confidence interval ?
O A. Use a t-distribution because n<30 and o is known.
O B. Use a normal distribution becausen<30, the data are normally distributed and o is unknown.
OC. Use a t-distribution because n<30 and o is unknown.
O D. Use a normal distribution because o is known and the data are normally distributed.
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.
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
.
)
O A. The 90% confidence interval is (
(Round to two decimal places as needed.)
O B. Neither distribution can be used to construct the confidence interval.
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