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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation is 64 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: u=719 O B. Ho: H2 746 (claim) OC. Ho: u>746 Ha: us746 (claim) Ha: u#719 (claim) H: u<746 O D. Ho: H<719 (claim) O E. Ho: us719 Ha: u>719 (claim) OF. Ho:u 746(claim) Ha: u2719 H:=746 (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. O A. O B. OC. Fail to reject Ho Fail to reject Hg- Fail to reject Hg- Reject Ho Reject Ho Reject Ho Reject Ho

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation is 64 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: u=719 O B. Ho: H2 746 (claim) OC. Ho: u>746 Ha: us746 (claim) Ha: u#719 (claim) H: u<746 O D. Ho: H<719 (claim) O E. Ho: us719 Ha: u>719 (claim) OF. Ho:u 746(claim) Ha: u2719 H:=746 (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. O A. O B. OC. Fail to reject Ho Fail to reject Hg- Fail to reject Hg- Reject Ho Reject Ho Reject Ho Reject Ho

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 light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation is 64 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= 719 O B. Ho: µ2746 (claim) Ha: µ<746 OC. Ho: H>746 H3: u#719 (claim) Ha: us746 (claim) O D. Ho: H<719 (claim) O E. Ho: HS719 OF. Ho: H#746(claim) H:u=746 Hai H2719 Ha: u>719 (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. O B. Oc. Fail to reject Ho Fail to reject H- Fail to reject H- Reject Ho/ Reject Ho- Reject Ho- Reject H. Click to select your answer(s). MacBook Air esc F4 F1 F3 @ 2# & 3 4 6 8
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation is 64 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= 719 O B. Ho: µ2746 (claim) Ha: µ<746 OC. Ho: H>746 H3: u#719 (claim) Ha: us746 (claim) O D. Ho: H<719 (claim) O E. Ho: HS719 OF. Ho: H#746(claim) H:u=746 Hai H2719 Ha: u>719 (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. O B. Oc. Fail to reject Ho Fail to reject H- Fail to reject H- Reject Ho/ Reject Ho- Reject Ho- Reject H. Click to select your answer(s). MacBook Air esc F4 F1 F3 @ 2# & 3 4 6 8
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