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Identify the rejection region(s). Choose the correct answer below. O A. OB. O C.

Identify the rejection region(s). Choose the correct answer below. O A. OB. O C.

MATLAB: An Introduction with Applications
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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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 743 hours. Assume the population is normally distributed and the population standard deviation is 63 hours. At a = 0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: μ ≥754 (claim) OB. Ho: μ#754(claim) Ha: μ< 754 Ha: μ = 754 O D. Ho: H=743 Ha: #743 (claim) (b) Identify the critical value(s). Use technology. OA. Z= Reject Ho. O E. Ho: <743 (claim) Ha: μ ≥743 Fail to reject Ho. 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. 0 O B. Fail to reject Ho. Reject Ho- O C. Ho: μ≤743 Reject Hc OA. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 754 hours. OF. Ha: >743 (claim) O C. Ho: μ>754 H₂: μ≤754 (claim) Fail to reject Ho- 0 (c) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Reject Ho OB. Reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 754 hours. 4
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 743 hours. Assume the population is normally distributed and the population standard deviation is 63 hours. At a = 0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: μ ≥754 (claim) OB. Ho: μ#754(claim) Ha: μ< 754 Ha: μ = 754 O D. Ho: H=743 Ha: #743 (claim) (b) Identify the critical value(s). Use technology. OA. Z= Reject Ho. O E. Ho: <743 (claim) Ha: μ ≥743 Fail to reject Ho. 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. 0 O B. Fail to reject Ho. Reject Ho- O C. Ho: μ≤743 Reject Hc OA. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 754 hours. OF. Ha: >743 (claim) O C. Ho: μ>754 H₂: μ≤754 (claim) Fail to reject Ho- 0 (c) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Reject Ho OB. Reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 754 hours. 4
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