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 to7,504 hours. The population standard deviation is 900 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,254 hours.a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,504 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?-1.96,1.96(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 7,504 hours.O B. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,504 hours.C. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,504 hours.O D. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,504 hours.b. What is the p-value?0.012 (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 7,504 hours.O B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,504 hours.O C. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,504 hours.O D. Fail to reject Ha. There is not sufficient evidence to prove that the mean life is different from 7,504 hoursClear allCheck answerView an exampleGet more help -Help me solve thisPPearson

Given : Claim : The mean life is different from 7.504 hours.

Answered: The quality-control manager at a…

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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A fire department in a rural county reports that it's response time to fires is approximately normally distributed with a mean of 22 minutes and a standard deviation of 11.9 minutes. Assume that this claim is true. Ninety-nine percent of the time, the fire department responds to a fire within how many minutes? Round to the nearest whole minute.
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