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The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,507 hours. The population standard deviation is 700 hours. A random sample of 19 light bulbs indicates a sample mean life of 7,357 hours. . At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours? o. Compute the p-value and interpret its meaning. . Construct a 95% confidence interval estimate of the population mean life of the light bulbs. 1. Compare the results of (a) and (c). What conclusions do you reach? . Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho:4= 7507 iH# 7,507 What is the test statistic? ESTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? - 1.96,1.96 Round to two decimal places as needed. Use comma to separate answers as needed.) What is the final conclusion? *A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. B. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. OC. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. OD. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. o. What is the p-value? (Round to three decimal places as needed.)

The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,507 hours. The population standard deviation is 700 hours. A random sample of 19 light bulbs indicates a sample mean life of 7,357 hours. . At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours? o. Compute the p-value and interpret its meaning. . Construct a 95% confidence interval estimate of the population mean life of the light bulbs. 1. Compare the results of (a) and (c). What conclusions do you reach? . Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho:4= 7507 iH# 7,507 What is the test statistic? ESTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? - 1.96,1.96 Round to two decimal places as needed. Use comma to separate answers as needed.) What is the final conclusion? *A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. B. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. OC. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. OD. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. o. What is the p-value? (Round to three decimal places as needed.)

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 quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,507 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,357 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? ..... a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho: µ = 7507 H1:µ# 7,507 What is the test statistic? ZSTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? - 1.96,1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. B. Reject Ho: There is not sufficient evidence to prove that the mean life is different from 7,507 hours. C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. b. What is the p-value? (Round to three decimal places as needed.)
Transcribed Image Text:The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,507 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,357 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? ..... a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho: µ = 7507 H1:µ# 7,507 What is the test statistic? ZSTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? - 1.96,1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. B. Reject Ho: There is not sufficient evidence to prove that the mean life is different from 7,507 hours. C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. b. What is the p-value? (Round to three decimal places as needed.)
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