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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 7,544 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,394 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,544 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: µ= 7544 H: µ# 7544 What is the test statistic? ZSTAT = - 1.50 (Round to two decimal places as needed.) What is/are the critical value(s)?

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 7,544 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,394 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,544 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: µ= 7544 H: µ# 7544 What is the test statistic? ZSTAT = - 1.50 (Round to two decimal places as needed.) What is/are the critical value(s)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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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 7,544 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,394 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,544 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 = 7544 H,:µ# 7544 What is the test statistic? ZSTAT = - 1.50 (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.)
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 7,544 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,394 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,544 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 = 7544 H,:µ# 7544 What is the test statistic? ZSTAT = - 1.50 (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.)
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