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the results. 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 In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 4.3 1.6 4.6 5.3 5.5 4.6 5.7 7.4 A. The 95% confidence interval is ( 3.3 7.2 5.6 3.3 (Round to two decimal places as needed.) OB. Neither distribution can be used to construct the confidence interval. 7.3 4.2 6.7 6.7 2.8 7.2 Which distribution should be used to construct the confidence interval? OA. Use a t-distribution because n<30 and a is known. B. Use a normal distribution because o is known and the data are normally distributed. OC. Use a t-distribution because n<30 and a is unknown. OD. Use a normal distribution because n<30, the data are normally distributed and a is unknown. OE. Cannot use the standard normal distribution or the t-distribution because a 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. 1.3 6.2 1.8 5.7 K 5.2 6.3 3.7 D

the results. 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 In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 4.3 1.6 4.6 5.3 5.5 4.6 5.7 7.4 A. The 95% confidence interval is ( 3.3 7.2 5.6 3.3 (Round to two decimal places as needed.) OB. Neither distribution can be used to construct the confidence interval. 7.3 4.2 6.7 6.7 2.8 7.2 Which distribution should be used to construct the confidence interval? OA. Use a t-distribution because n<30 and a is known. B. Use a normal distribution because o is known and the data are normally distributed. OC. Use a t-distribution because n<30 and a is unknown. OD. Use a normal distribution because n<30, the data are normally distributed and a is unknown. OE. Cannot use the standard normal distribution or the t-distribution because a 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. 1.3 6.2 1.8 5.7 K 5.2 6.3 3.7 D

MATLAB: An Introduction with Applications
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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Use the standard normal distribution or the 1-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. the results. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the Yards per carry are normally distributed.
**Constructing a 95% Confidence Interval Using the Standard Normal and t-Distributions** In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. Data: 4.6, 5.5, 4.3, 5.7, 3.3, 5.3, 5.0, 7.3, 6.7, 2.8, 1.3, 1.8, 5.5, 5.2, 6.7, 7.2, 4.6, 7.4, 3.7, 2.2, 5.7, 6.3, 6.7, 6.2, 3.2 --- **Question:** Which distribution should be used to construct the confidence interval? - **Options:** - A. Use a t-distribution because n < 30 and σ is known. - B. Use a normal distribution because σ is known and the data are normally distributed. - C. Use a t-distribution because n < 30 and σ is unknown. - D. Use a normal distribution because n < 30, the data are normally distributed and σ is unknown. - E. Cannot use the standard normal distribution or the t-distribution because σ is unknown, n < 30, and the data are not normally distributed. **Correct Choice**: - Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. - The correct choice is **B. Use a normal distribution because σ is known and the data are normally distributed.** --- **Further Instructions:** - **Part A: The 95% confidence interval is [__, __]. (Round to two decimal places as needed.) - **Part B: Neither distribution can be used to construct the confidence interval.** --- By selecting the appropriate distribution, the correct confidence interval can be calculated, using the standard formulae, for accurate statistical inference.
Transcribed Image Text:**Constructing a 95% Confidence Interval Using the Standard Normal and t-Distributions** In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. Data: 4.6, 5.5, 4.3, 5.7, 3.3, 5.3, 5.0, 7.3, 6.7, 2.8, 1.3, 1.8, 5.5, 5.2, 6.7, 7.2, 4.6, 7.4, 3.7, 2.2, 5.7, 6.3, 6.7, 6.2, 3.2 --- **Question:** Which distribution should be used to construct the confidence interval? - **Options:** - A. Use a t-distribution because n < 30 and σ is known. - B. Use a normal distribution because σ is known and the data are normally distributed. - C. Use a t-distribution because n < 30 and σ is unknown. - D. Use a normal distribution because n < 30, the data are normally distributed and σ is unknown. - E. Cannot use the standard normal distribution or the t-distribution because σ is unknown, n < 30, and the data are not normally distributed. **Correct Choice**: - Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. - The correct choice is **B. Use a normal distribution because σ is known and the data are normally distributed.** --- **Further Instructions:** - **Part A: The 95% confidence interval is [__, __]. (Round to two decimal places as needed.) - **Part B: Neither distribution can be used to construct the confidence interval.** --- By selecting the appropriate distribution, the correct confidence interval can be calculated, using the standard formulae, for accurate statistical inference.
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