A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 731 hours. A random sample of 20 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation in 58 hours. At α=0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 731 hours. A random sample of 20 light bulbs has a mean life of 719 hours. Assume the population is normally distributedand the population standard deviation is 58 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.O A. Ho: µ2731 (claim)Hạiu<731О В. Но: и> 731Ha: us731 (claim)OC. Ho: µ<719 (claim)Ha μ2 719O D . Ho: μ= 719|Ha: u#719 (claim)Ο Ε. Hρ: μ#731 (claim)Ha:µ= 731ΟF H :μ# 719Ha: µ>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.O A.В.C.Fail to reject Ho-Fail to reject Họ-Fail to reject Ho-Reject Ho/Reject Ho.Reject Ho.Reject Ho;-4-4-4(c) Identify the standardized test statistic. Use technology.Z=(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.O A. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at leastO B. Reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 731731 hours.hours.O C. Reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 731 hours.D. Fail to reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 731hours

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Description: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 731 hours. A random sample of 20 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard d

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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 731 hours. A random sample of 20 light bulbs has a mean life of 719 hours. Assume the population is normally distribute and the population standard deviation is 58 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. O A. Ho:u2731 (claim) Haiu<731 O B. Ho: u> 731 Haiu5731 (claim) OC. Ho: µ<719 (claim) Hai2719 O D. Ho:µ=719 Ha:u#719 (claim) O E. Ho: H#731(claim) HgiH=731 OF. Ho: Hs719 Ha:u>719 (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 Ho- Fail to reject Ho- Fail to reject Ho- Q Reject Ho \Reject Ho- Reject Ho. Reject Ho (c) Identify the standardized test statistic. Use technology. z= (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. O A. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least O B. Reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 731 731 hours. hours. OC Reject He There is sufficient evidence to reiect the claim that mean bulh life is at least 731 hours OD Fail to reiect H. There is sufficient evidence to reiect the claim that mean bulh life is at least 731

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 731 hours. A random sample of 20 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation in 58 hours. At α=0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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