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 470 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,290 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,470 hours? p. 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: H= 7470 H: H# 7470 What is the test statistic? ZSTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? 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. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,470 hours. O B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,470 hours. O C. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,470 hours. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,470 hours.
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 470 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,290 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,470 hours? p. 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: H= 7470 H: H# 7470 What is the test statistic? ZSTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? 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. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,470 hours. O B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,470 hours. O C. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,470 hours. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,470 hours.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
7,470 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,290 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,470 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: H= 7470
H: µ# 7470
What is the test statistic?
ZSTAT = - 1.5 (Round to two decimal places as needed.)
What is/are the critical value(s)?
- 1.96,1.96
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
What is the final conclusion?
A. Reject Ho- There is sufficient evidence to prove that the mean life is different from 7,470 hours.
B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,470 hours.
O C. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,470 hours.
O D. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,470 hours.
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