I need help with stats/2023, section 6.2 (please help with TI-84 commands please) Thanks Use the standard normal distribution or the​ t-distribution to construct a 95​% 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 1.27. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.4 5.4 5.9 4.6 3.5 4.9 4.9 6.8 3.2 1.3 2.6 4.1 5.2   7.3 3.5 4.1 2.8 4.9 3.8 6.4 5.6 4.4 ..........................6.9  6.5   3.8 Which distribution should be used to construct the confidence​ interval?     A. Use a normal distribution because n<30​, the data are normally distributed and σ is unknown.   B. Use a​ t-distribution because n<30 and σ is unknown.   C. Use a normal distribution because σ is known and the data are normally distributed. Your answer is correct.   D. Use a​ t-distribution because n<30 and σ is known.   E. Cannot use the standard normal distribution or the​ t-distribution because σ is​ unknown, n<30​, and the data are not normally distributed. Part 2 Select the correct choice below​ and, if​ necessary, fill in any answer boxes to complete your choice   A. The 95% interval is (___________ , ____________)  (round to 2 decimal places as needed) B. Neither distribution can be used to construct the confidence interval.

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I need help with stats/2023, section 6.2 (please help with TI-84 commands please) Thanks

Use the standard normal distribution or the​ t-distribution to construct a
95​%
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
1.27.
The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed.
2.4
5.4
5.9
4.6
3.5
4.9
4.9
6.8
3.2
1.3
2.6
4.1
5.2
 
7.3
3.5
4.1
2.8
4.9
3.8
6.4
5.6
4.4

..........................6.9  6.5   3.8

Which distribution should be used to construct the confidence​ interval?
 
 
A.
Use a normal distribution because
n<30​,
the data are normally distributed and
σ
is unknown.
 
B.
Use a​ t-distribution because
n<30
and
σ
is unknown.
 
C.
Use a normal distribution because
σ
is known and the data are normally distributed.
Your answer is correct.
 
D.
Use a​ t-distribution because
n<30
and
σ
is known.
 
E.
Cannot use the standard normal distribution or the​ t-distribution because
σ
is​ unknown,
n<30​,
and the data are not normally distributed.
Part 2
Select the correct choice below​ and, if​ necessary, fill in any answer boxes to complete your choice
 
A. The 95% interval is (___________ , ____________)  (round to 2 decimal places as needed)
B. Neither distribution can be used to construct the confidence interval.
 

 

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