The quality-control manager at a compact fluorescent light bulb (CFL) factory needs determine whether the mean life of a large shipment of CFLs is equal to 7,477 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,297 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,477 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, H₁ Ho He H₁: H What is the test statistic? ZSTAT (Round to two decimal places. s needed.) What is/are the critical value(s)? ☐ (Round to two decimal places as needed. Use a comma 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 7,477 hours. OB. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. O C. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. OD. Fail to reject Ho. There is sufficient evidence prove that the mean is different from 7,477 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. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. OB. Fail to reject Ho. There is sufficient evidence prove that the mean life is different from 7,477 hours. OC. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. O D. Fail to reject Ho. There is not sufficient evidence prove that the mean life is different from 7,477 hours.
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs determine whether the mean life of a large shipment of CFLs is equal to 7,477 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,297 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,477 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, H₁ Ho He H₁: H What is the test statistic? ZSTAT (Round to two decimal places. s needed.) What is/are the critical value(s)? ☐ (Round to two decimal places as needed. Use a comma 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 7,477 hours. OB. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. O C. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. OD. Fail to reject Ho. There is sufficient evidence prove that the mean is different from 7,477 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. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. OB. Fail to reject Ho. There is sufficient evidence prove that the mean life is different from 7,477 hours. OC. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. O D. Fail to reject Ho. There is not sufficient evidence prove that the mean life is different from 7,477 hours.
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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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 7,477 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of
7,297 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,477 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, H₁.
Ho: μ =
H₁ : µ‡
What is the test statistic?
ZSTAT
=
(Round to two decimal places as needed.)
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?
O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
B. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours.
C. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
D. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 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.
A. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours.
B.
Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours.
C. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
D. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
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