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 7,453 hours. The population standard deviation is 1,080 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,153 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,453 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? b. What is the p-value? O(Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Fail to reject Hg. There is not sufficient evidence to prove that the mean life is different from 7,453 hours. O B. Fail to reject Hg. There is sufficient evidence to prove that the mean life is different from 7,453 hours. OC. Reject Ho: There is sufficient evidence to prove that the mean life is different from 7,453 hours. O D. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,453 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. OSus (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 the same: there is sufficient evidence to prove that the mean life is different from 7,453 hours. O B. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,453 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 7,453 hours. O D. The results of (a) and tel are not the same: there is not sufficient avidence to prove that the mean life is different from 7 453 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 7,453 hours. The population standard deviation is 1,080 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,153 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,453 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? b. What is the p-value? O(Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Fail to reject Hg. There is not sufficient evidence to prove that the mean life is different from 7,453 hours. O B. Fail to reject Hg. There is sufficient evidence to prove that the mean life is different from 7,453 hours. OC. Reject Ho: There is sufficient evidence to prove that the mean life is different from 7,453 hours. O D. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,453 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. OSus (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 the same: there is sufficient evidence to prove that the mean life is different from 7,453 hours. O B. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,453 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 7,453 hours. O D. The results of (a) and tel are not the same: there is not sufficient avidence to prove that the mean life is different from 7 453 hours
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 7,453 hours. The population standard deviation is 1,080 hours. A random sample of
81 light bulbs indicates a sample mean life of 7,153 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,453 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?
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 Hn. There is not sufficient evidence to prove that the mean life is different from 7,453 hours.
O B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,453 hours.
Oc. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,453 hours.
O D. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,453 hours.
c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
Osus (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 the same: there is sufficient evidence to prove that the mean life is different from 7,453 hours.
O B. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,453 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 7,453 hours.
OD.
The results of (a) and (c) are not the same: there is not sufficient evidence
nrove that the mean life is different from 7.453 hours
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