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A lioht bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 768 hours. A random sample of 25 light bulbs has a mean life of 744 hours. Assume the population is normally distributed and the population standard deviation is 60 hours. At a= 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H<744 (claim) H u2744 O D. Ho: us744 O B. Ho: H2 768 (claim) OC. H: µ>768 Hg:u<768 H,: us 768 (claim) O E. Ho: u#768(claim) OF. Ho: u= 744 Ha:u>744 (claim) H: p= 768 H,: u#744 (claim) (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. OA OB. OC. Fail to reject H, Fail to reject Ho Fail to reject Ha Reject Ho Reject Ho Reject H Reject H (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.)

A lioht bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 768 hours. A random sample of 25 light bulbs has a mean life of 744 hours. Assume the population is normally distributed and the population standard deviation is 60 hours. At a= 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H<744 (claim) H u2744 O D. Ho: us744 O B. Ho: H2 768 (claim) OC. H: µ>768 Hg:u<768 H,: us 768 (claim) O E. Ho: u#768(claim) OF. Ho: u= 744 Ha:u>744 (claim) H: p= 768 H,: u#744 (claim) (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. OA OB. OC. Fail to reject H, Fail to reject Ho Fail to reject Ha Reject Ho Reject Ho Reject H Reject H (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A lioht bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 768 hours. A random sample of 25 light bulbs has a mean life of 744 hours. Assume the population is normally distributed and the population standard deviation is 60 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H<744 (claim) Ha: u2744 O B. Ho: µ2 768 (claim) H:u<768 OC. Ho: u>768 H,: us 768 (claim) OF. Ho: u= 744 O D. Ho: us744 O E. Ho: u#768(claim) H:u= 768 Hau>744 (claim) H:u#744 (claim) (b) Identify the critical value(s). Use technology. zo = (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. OA. OB. Oc. Fail to reject Ho Fail to reject Ho Fail to reject Ha Reject Hg- Reject Ho Reject H Reject H. (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.) Click to select your answer(s). MacBook Air F9 23 $ % delete 2 3 4 8 W E T Y P Q A D F H K
Transcribed Image Text:A lioht bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 768 hours. A random sample of 25 light bulbs has a mean life of 744 hours. Assume the population is normally distributed and the population standard deviation is 60 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H<744 (claim) Ha: u2744 O B. Ho: µ2 768 (claim) H:u<768 OC. Ho: u>768 H,: us 768 (claim) OF. Ho: u= 744 O D. Ho: us744 O E. Ho: u#768(claim) H:u= 768 Hau>744 (claim) H:u#744 (claim) (b) Identify the critical value(s). Use technology. zo = (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. OA. OB. Oc. Fail to reject Ho Fail to reject Ho Fail to reject Ha Reject Hg- Reject Ho Reject H Reject H. (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.) Click to select your answer(s). MacBook Air F9 23 $ % delete 2 3 4 8 W E T Y P Q A D F H K
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