- The Quality Control Manager At A Compact Fluorescent Light Bulb Cfl Factory Needs To Determine Whether The Mean Life O 1 (66.08 KiB) Viewed 18 times
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 7,505 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,483 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,506 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? O C. Reject Hg. There is sufficient evidence to prove that the mean life is different from 7,506 hours. OD. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,506 hours. 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. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,506 hours. O B. Reject Hy. There is sufficient evidence to prove that the mean life is different from 7,506 hours. O C. Fail to reject Hp. There is not sufficient evidence to prove that the mean life is different from 7.506 hours. OD. Reject Hg. There is not sufficient evidence to prove that the mean life is different from 7,508 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs sus(Round to one decimal place as needed.) d. Compare the results of (a) and (c). What conclusions do you reach? O 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 7,506 hours. OB. The results of (a) and (c) are the same: there is sufficient evidence to prove that the mean life is different from 7.506 hours. O C. The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,506 hours. OD. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,506 hours.