the results. 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. Interp In a recent season, the population standard deviation of the yards per carry for all running backs was 1.38. The yards per carry of 25 randomly selected running backs are shown below. Assume th yards per carry are normally distributed. 1.5 5.7 6.7 3.6 4.4 4.5 5.6 2.5 6.8 2.9 3.4 2.6 4.9 4.8 G ... 4.7 7.5 3.8 5.3 2.4 5.7 1.3 7.3 6.9 4.5 3.6
the results. 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. Interp In a recent season, the population standard deviation of the yards per carry for all running backs was 1.38. The yards per carry of 25 randomly selected running backs are shown below. Assume th yards per carry are normally distributed. 1.5 5.7 6.7 3.6 4.4 4.5 5.6 2.5 6.8 2.9 3.4 2.6 4.9 4.8 G ... 4.7 7.5 3.8 5.3 2.4 5.7 1.3 7.3 6.9 4.5 3.6
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Transcribed Image Text: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 1.38. The yards per carry of 25 randomly selected running backs are shown below. Assume the
yards per carry are normally distributed.
3.6
1.5
4.4
6.7
3.6
5.7
4.5
5.6
2.5
6.8
2.9
3.4
2.6
4.9
4.8
C...
4.7
7.5
3.8
5.3
2.4
5.7
Which distribution should be used to construct the confidence interval?
OA. Use a t-distribution because n<30 and o is unknown:
OB. Use a t-distribution because n<30 and σ is known.
OC. Use a normal distribution because o is known and the data are normally distributed.
OD. Use a normal distribution because n <30, the data are normally distributed 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.
1.3
7.3
6.9
4.5
D₁
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