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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 7,546 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,366 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,546 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? OC. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. D. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. b. What is the p-value? 0.134 (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. B. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. OC. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. O D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sμs (Round to one decimal place 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 7,546 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,366 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,546 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? OC. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. D. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. b. What is the p-value? 0.134 (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. B. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. OC. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. O D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sμs (Round to one decimal place 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 7,546 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,366 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,546 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? OC. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. D. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. b. What is the p-value? 0.134 (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. B. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. O C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. O D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sμs (Round to one decimal place 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 7,546 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,366 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,546 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? OC. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. D. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. b. What is the p-value? 0.134 (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. B. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,546 hours. O C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. O D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,546 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sμs (Round to one decimal place as needed.)
Expert Solution
Step 1

Given,sample size(n)=49sample mean(x¯)=7,366population standard deviation(σ)=840α=1-0.95=0.05α2=0.025Z0.025=1.96

 

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