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lom sample of 64 light bulbs indicates a sample mean life of 7,519 hours. t the 0.05 level of significance, is there evidence that the mean life is different from 7,542 hours? ompute the p-value and interpret its meaning. onstruct a 95% confidence interval estimate of the population mean life of the light bulbs. ompare the results of (a) and (c). What conclusions do you reach? et u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. H=7542 H#7542 at is the test statistic? AT=(Round to two decimal places as needed.) at islare the critical value(s)? und to two decimal places as needed. Use comma to separate answers as needed.) at is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. 3. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. D. Reject Hn. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. /hat is the p-value?

lom sample of 64 light bulbs indicates a sample mean life of 7,519 hours. t the 0.05 level of significance, is there evidence that the mean life is different from 7,542 hours? ompute the p-value and interpret its meaning. onstruct a 95% confidence interval estimate of the population mean life of the light bulbs. ompare the results of (a) and (c). What conclusions do you reach? et u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. H=7542 H#7542 at is the test statistic? AT=(Round to two decimal places as needed.) at islare the critical value(s)? und to two decimal places as needed. Use comma to separate answers as needed.) at is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. 3. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. D. Reject Hn. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. /hat is the p-value?

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 7,542 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,519 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,542 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=7542 H1:µ# 7542 What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. B. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. O C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. D. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. b. What is the p-value?
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 7,542 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,519 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,542 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=7542 H1:µ# 7542 What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. B. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. O C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. D. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. b. What is the p-value?
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 7,542 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,519 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,542 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? b. What is the p-value? (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 sufficient evidence to prove that the mean life is different from 7,542 hours. O B. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. O C. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. O D. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. <us (Round to one decimal place as needed.) d. Compare the results of (a) and (c). What conclusions do you reach? A. The results of (a) and (c) are not the same: there is not sufficient evidence to prove that the mean life is different from 7,542 hours. B. The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,542 hours. C. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,542 hours. D. The results of (a) and (c) are the same: there is sufficient evidence to prove that the mean life is different from 7,542 hours.
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 7,542 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,519 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,542 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? b. What is the p-value? (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 sufficient evidence to prove that the mean life is different from 7,542 hours. O B. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. O C. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,542 hours. O D. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,542 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. <us (Round to one decimal place as needed.) d. Compare the results of (a) and (c). What conclusions do you reach? A. The results of (a) and (c) are not the same: there is not sufficient evidence to prove that the mean life is different from 7,542 hours. B. The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,542 hours. C. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,542 hours. D. The results of (a) and (c) are the same: there is sufficient evidence to prove that the mean life is different from 7,542 hours.
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