Question

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 7,498 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,348 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,498 hourst 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 altemative hypothesis, H What is the test statistic? ZSTAT (Round to two decimal places as needed.) What is/are the critical valuel(s)? Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,498 hours O B. Fail to reject Ho. There is sufficiont ovidence to prove that the moan life is dimorent from 7,498 hours. C. Reject H0. There is sufficient evidence to prove that the mean life is different from 7,498 hours. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,498 hours. O D.

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