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 1.25. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.6 52 3.8 4.3 28 7.3 3.2 2.7 2.5 4.3 2.4 19 35 6.6 2.5 3.3 5.5 4.2 6.4 6.5 5.1 52 3.2 3.1 2.7 Use a normal distribution because o is known and the data are normally distributed. Usé a t-distribution because n< 30 and o is unknown. CE 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. OA. The 99% confidence interval is (Round to two decimat places as needed.) O B. Neither đistribution can be used to construct the confidence interval

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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 1.25. The yards per carry of 25 randomly selected running
backs are shown below. Assume the yards per carry are normally distributed.
2.6
5.2
3.8
4.3
28
73
2.7
2.5
4.3
2.4
19
6.6
3.3
35
5.5
4.2
6.4
6.5
5.1
3.2
5.2
3.2
3.1
2.7
25
CỰC. Use a normal distribution because o is known and the data are normally distributed.
OD Use a t-distribution because n< 30 and o is unknown.
CE 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.
OA. The 99% confidence interval is
(Round to two decimał places as needed.)
O B. Neither distribution can be used to construct the confidence interval
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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 1.25. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.6 5.2 3.8 4.3 28 73 2.7 2.5 4.3 2.4 19 6.6 3.3 35 5.5 4.2 6.4 6.5 5.1 3.2 5.2 3.2 3.1 2.7 25 CỰC. Use a normal distribution because o is known and the data are normally distributed. OD Use a t-distribution because n< 30 and o is unknown. CE 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. OA. The 99% confidence interval is (Round to two decimał places as needed.) O B. Neither distribution can be used to construct the confidence interval Help me solve this View an example Get more help - Clear ail This course (STS232-5pring 2022 - 0700 (2:00pm)} is based on Larso0: Elementary Statistics: Picturing the World. Ze
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