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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?

Use a normal distribution because

n<30,

the data are normally distributed and

is unknown.

Use a t-distribution because

n<30

and

is unknown.

Use a normal distribution because

is known and the data are normally distributed.

Your answer is correct.

Use a t-distribution because

n<30

and

is known.

Cannot use the standard normal distribution or the t-distribution because

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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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