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The president of a large company recommends that employees perform, on average, 24 hours of community service each year. The president believes that the mean number of hours of community service performed last year was different from the recommended 24 hours. To estimate the mean number of hours of community service performed last year, the president obtained data from a random sample of employees and used the data to construct the 95 percent confidence interval (20.37, 23.49). If all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of a = 0.05, to support the president's belief that the mean number of hours of community service performed last year is different from what is recommended? (A) Yes, the interval supports the president's belief because 0 is not contained in the interval. (B) Yes, the interval supports the president's belief because 24 is not contained in the interval. (C) No, the interval does not support the president's belief because a 90% confidence interval is required for a 5% level of statistical evidence. (D) No, the interval does not support the president's belief because confidence intervals should only be used for estimation and cannot provide convincing statistical evidence. (E) No, the interval does not support the president's belief because the significance level is equal to 1 minus the confidence level, indicating that the results are not convincing.

The president of a large company recommends that employees perform, on average, 24 hours of community service each year. The president believes that the mean number of hours of community service performed last year was different from the recommended 24 hours. To estimate the mean number of hours of community service performed last year, the president obtained data from a random sample of employees and used the data to construct the 95 percent confidence interval (20.37, 23.49). If all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of a = 0.05, to support the president's belief that the mean number of hours of community service performed last year is different from what is recommended? (A) Yes, the interval supports the president's belief because 0 is not contained in the interval. (B) Yes, the interval supports the president's belief because 24 is not contained in the interval. (C) No, the interval does not support the president's belief because a 90% confidence interval is required for a 5% level of statistical evidence. (D) No, the interval does not support the president's belief because confidence intervals should only be used for estimation and cannot provide convincing statistical evidence. (E) No, the interval does not support the president's belief because the significance level is equal to 1 minus the confidence level, indicating that the results are not convincing.

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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The president of a large company recommends that employees perform, on average, 24 hours of community service each year. The president believes that the mean number of hours of community service performed last year was different from the recommended 24 hours. To estimate the mean number of hours of community service performed last year, the president obtained data from a random sample of employees and used the data to construct the 95 percent confidence interval (20.37, 23.49). If all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of a = 0.05, to support the president's belief that the mean number of hours of community service performed last year is different from what is recommended? (A) Yes, the interval supports the president's belief because 0 is not contained in the interval. (B) Yes, the interval supports the president's belief because 24 is not contained in the interval. (C) No, the interval does not support the president's belief because a 90% confidence interval is required for a 5% level of statistical evidence. (D) No, the interval does not support the president's belief because confidence intervals should only be used for estimation and cannot provide convincing statistical evidence. (E) No, the interval does not support the president's belief because the significance level is equal to 1 minus the confidence level, indicating that the results are not convincing.
Transcribed Image Text:The president of a large company recommends that employees perform, on average, 24 hours of community service each year. The president believes that the mean number of hours of community service performed last year was different from the recommended 24 hours. To estimate the mean number of hours of community service performed last year, the president obtained data from a random sample of employees and used the data to construct the 95 percent confidence interval (20.37, 23.49). If all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of a = 0.05, to support the president's belief that the mean number of hours of community service performed last year is different from what is recommended? (A) Yes, the interval supports the president's belief because 0 is not contained in the interval. (B) Yes, the interval supports the president's belief because 24 is not contained in the interval. (C) No, the interval does not support the president's belief because a 90% confidence interval is required for a 5% level of statistical evidence. (D) No, the interval does not support the president's belief because confidence intervals should only be used for estimation and cannot provide convincing statistical evidence. (E) No, the interval does not support the president's belief because the significance level is equal to 1 minus the confidence level, indicating that the results are not convincing.
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