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The quality-control manager at a compact fluorescont light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 747 hours The population standard deviation is 1,120 hours A random sample of 64 light bulbs indicates a sample mean life of 7,162 hours a. Al the 0.05 level of significance, is there evidence that the mean lide is different from 7470 hours? b. Compute the p-value and interpret its meaning c. Construct a 95% confidence interval estimate of the population mean ide of the ight bulbs

The quality-control manager at a compact fluorescont light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 747 hours The population standard deviation is 1,120 hours A random sample of 64 light bulbs indicates a sample mean life of 7,162 hours a. Al the 0.05 level of significance, is there evidence that the mean lide is different from 7470 hours? b. Compute the p-value and interpret its meaning c. Construct a 95% confidence interval estimate of the population mean ide of the ight bulbs

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 fluorescont light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7470 hours The population standard deviation is 1,120 hours A random sample of 64 light bulbs indicates a sample mean life of 7,162 hours a. At the 0.05 level of significance, is there evidence that the mean life is different from 7470 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean lide of the bight bulbs d. Compare the results of (a) and (c) What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours CU aua aj u e e ae e a aunn nn wRune e H a uore U Uura OC. The results of (a) and (c) are not the same. There is sufficient evidence to indicate that the mean ife is different from 7470 hours OD. The results of (a) and (c) are the same There is sufficient evidence to indicate that the mean life is different from 7470 hours e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 When the standard deviation is 1,400, ZeTAT-176, the p-value is 0 078, and the 95% confidence interval is 6,819 sus7,505 State the conclusion for the new standard deviation using the cntical value approach Compare the results to part (a) Using the critical value approach, Ho This result is V the result found in part (a) because Z9TAT has in absolute value State the conclusion for the new standard deviation using the p-value approach Compare the results to part (b) Using the p value approach, V Họ This result is the result found in part (b) because the p value has State the conclusion for the new standard deviation using the confidence interval approach Compare the results to part (c) Using the confidence interval approach, V Ho This result is V the result found in part (c), because the confidence interval has
Transcribed Image Text:The quality-control manager at a compact fluorescont light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7470 hours The population standard deviation is 1,120 hours A random sample of 64 light bulbs indicates a sample mean life of 7,162 hours a. At the 0.05 level of significance, is there evidence that the mean life is different from 7470 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean lide of the bight bulbs d. Compare the results of (a) and (c) What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours CU aua aj u e e ae e a aunn nn wRune e H a uore U Uura OC. The results of (a) and (c) are not the same. There is sufficient evidence to indicate that the mean ife is different from 7470 hours OD. The results of (a) and (c) are the same There is sufficient evidence to indicate that the mean life is different from 7470 hours e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 When the standard deviation is 1,400, ZeTAT-176, the p-value is 0 078, and the 95% confidence interval is 6,819 sus7,505 State the conclusion for the new standard deviation using the cntical value approach Compare the results to part (a) Using the critical value approach, Ho This result is V the result found in part (a) because Z9TAT has in absolute value State the conclusion for the new standard deviation using the p-value approach Compare the results to part (b) Using the p value approach, V Họ This result is the result found in part (b) because the p value has State the conclusion for the new standard deviation using the confidence interval approach Compare the results to part (c) Using the confidence interval approach, V Ho This result is V the result found in part (c), because the confidence interval has
The quality-control manager at a compact fluorescent light bulb (CFL) factory neods to determine whether the mean life of a large shipment of CFLS is equal to 7470 hours. The population standard deviation is 1,120 hours A random sample of 64 light bulbs indicates a sample mean Me of 7,162 hours a. At the 0 05 level of significance, is there evidence that the mean ife is different from 7470 hours? b. Compute the p-value and interpret its meaning c. Construct a 95% confidence interval estiımate of the population mean life of the light buibs d. Compare the results of (a) and (c) What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours 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? OA Reject H, There is suficient evidence to ndicate that the mean ife is difforent from 7470 hours OB. Fail to reject H, There is not sufticient evidence to indicate that the mean ife is different trom 7470 hours OC. Fail to rejoct H There is sufficient evidence to indicate that the mean ife is diferent from 7470 hours OD. Reject H, There is not suffcient evidence to indicate that the mean ide is diferent from 7470 hours b. What is the p-value? O(Round to three decimal places as needed ) Interpret the meaning of the p-value The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean ife of a large shipment of CFLS is equal to 7470 hours. The population standard deviation is 1,120 hours Arandom sample of 64 light bulbs indicates a sample mean ife of 7,162 hours a. Al the 0 05 level of significance, is there evidence that the mean life is different from 7470 hours? b. Compute the p -value and interpret its meaning c. Construct a 95% confidence interval estimate of the population mean life of the ight bulbs d. Compare the results of (a) and (c) What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours I5 Interpret the meaning of the p value. The p-value is the probability of obtaining with a mean hours, given that the hypothesis is true e. Construct a 05% confidence interval estimate of the population mean Iife of the light bulbs Osus (Round to the noarest whole number as needed) d. Compare the results of (a) and (c) What conclusions do you reach? OA The results of (0) and (c) are not the same. There is not sufficient evidence to indicate that the mean ife is different from 7470 hours OB. The results of (a) and (c) are the same There is not sufficient evidence to indicate that the mean ife is different from 7470 hours OC. The results of (a) and (c) are not the same There is sufficent evidence to indicate that the mean ife is diferent from 7470 hours OD. The results of (0) and (c) are the same There is suficient evidence to indicate that the mean fe is diferent hom 7470 hours . Compare the results of parts (a) through (d) to those when the standard deviation is 1.400 When the standard deviation is 1,400, ZgTAT-176, the p value is 0 078, and the 95% confidence interval is 6.819sus7.505 State the conclusion for the new standard deviation using the crtical value approach Compare the results to part (a)
Transcribed Image Text:The quality-control manager at a compact fluorescent light bulb (CFL) factory neods to determine whether the mean life of a large shipment of CFLS is equal to 7470 hours. The population standard deviation is 1,120 hours A random sample of 64 light bulbs indicates a sample mean Me of 7,162 hours a. At the 0 05 level of significance, is there evidence that the mean ife is different from 7470 hours? b. Compute the p-value and interpret its meaning c. Construct a 95% confidence interval estiımate of the population mean life of the light buibs d. Compare the results of (a) and (c) What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours 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? OA Reject H, There is suficient evidence to ndicate that the mean ife is difforent from 7470 hours OB. Fail to reject H, There is not sufticient evidence to indicate that the mean ife is different trom 7470 hours OC. Fail to rejoct H There is sufficient evidence to indicate that the mean ife is diferent from 7470 hours OD. Reject H, There is not suffcient evidence to indicate that the mean ide is diferent from 7470 hours b. What is the p-value? O(Round to three decimal places as needed ) Interpret the meaning of the p-value The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean ife of a large shipment of CFLS is equal to 7470 hours. The population standard deviation is 1,120 hours Arandom sample of 64 light bulbs indicates a sample mean ife of 7,162 hours a. Al the 0 05 level of significance, is there evidence that the mean life is different from 7470 hours? b. Compute the p -value and interpret its meaning c. Construct a 95% confidence interval estimate of the population mean life of the ight bulbs d. Compare the results of (a) and (c) What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours I5 Interpret the meaning of the p value. The p-value is the probability of obtaining with a mean hours, given that the hypothesis is true e. Construct a 05% confidence interval estimate of the population mean Iife of the light bulbs Osus (Round to the noarest whole number as needed) d. Compare the results of (a) and (c) What conclusions do you reach? OA The results of (0) and (c) are not the same. There is not sufficient evidence to indicate that the mean ife is different from 7470 hours OB. The results of (a) and (c) are the same There is not sufficient evidence to indicate that the mean ife is different from 7470 hours OC. The results of (a) and (c) are not the same There is sufficent evidence to indicate that the mean ife is diferent from 7470 hours OD. The results of (0) and (c) are the same There is suficient evidence to indicate that the mean fe is diferent hom 7470 hours . Compare the results of parts (a) through (d) to those when the standard deviation is 1.400 When the standard deviation is 1,400, ZgTAT-176, the p value is 0 078, and the 95% confidence interval is 6.819sus7.505 State the conclusion for the new standard deviation using the crtical value approach Compare the results to part (a)
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