Y 6.2.38-T Question Help 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 1.31. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 1.6 3.7 4.7 2.1 2.5 6.4 5.2 5.5 6.9 3.1 3.5 4.6 3.8 5.4 4.6 4.4 3.1 3.7 2.8 4.3 2.6 5.4 3.2 5.7 6.7 Which distribution should be used to construct the confidence interval? OA. Use a t-distribution because n <30 and o is known nts B. Use a normal distribution because n < 30, the data are normally distributed and o is unknown. our C. Use a normal distribution because o is known and the data are normally distributed. OD. Use at-distribution because n< 30 and o is unknown. ess OE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n < 30, and the data are not normally distributed. ccess Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. Libra OA. The 99% confidence interval is (Round to two decimal places as needed.) Pptions B. Neither distribution can be used to construct the confidence interval. ns ools ? Click to select and enter your answer(s) and then click Check Answer. Check Answer part remaining Clear All XP W tv NOV 11 MacBook Pro

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I am unsure of what steps to take when finding the confidence interval. 

Y 6.2.38-T
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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 1.31. The yards per carry of 25 randomly selected running backs
are shown below. Assume the yards per carry are normally distributed.
1.6
3.7
4.7
2.1
2.5
6.4
5.2
5.5
6.9
3.1
3.5
4.6
3.8
5.4
4.6
4.4
3.1
3.7
2.8
4.3
2.6
5.4
3.2
5.7
6.7
Which distribution should be used to construct the confidence interval?
OA. Use a t-distribution because n <30 and o is known
nts
B. Use a normal distribution because n < 30, the data are normally distributed and o is unknown.
our
C. Use a normal distribution because o is known and the data are normally distributed.
OD. Use at-distribution because n< 30 and o is unknown.
ess
OE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n < 30, and the data are not normally distributed.
ccess
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
Libra
OA. The 99% confidence interval is
(Round to two decimal places as needed.)
Pptions
B. Neither distribution can be used to construct the confidence interval.
ns
ools
?
Click to select and enter your answer(s) and then click Check Answer.
Check Answer
part
remaining
Clear All
XP
W
tv
NOV
11
MacBook Pro
Transcribed Image Text:Y 6.2.38-T Question Help 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 1.31. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 1.6 3.7 4.7 2.1 2.5 6.4 5.2 5.5 6.9 3.1 3.5 4.6 3.8 5.4 4.6 4.4 3.1 3.7 2.8 4.3 2.6 5.4 3.2 5.7 6.7 Which distribution should be used to construct the confidence interval? OA. Use a t-distribution because n <30 and o is known nts B. Use a normal distribution because n < 30, the data are normally distributed and o is unknown. our C. Use a normal distribution because o is known and the data are normally distributed. OD. Use at-distribution because n< 30 and o is unknown. ess OE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n < 30, and the data are not normally distributed. ccess Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. Libra OA. The 99% confidence interval is (Round to two decimal places as needed.) Pptions B. Neither distribution can be used to construct the confidence interval. ns ools ? Click to select and enter your answer(s) and then click Check Answer. Check Answer part remaining Clear All XP W tv NOV 11 MacBook Pro
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