**Image Transcription for Educational Use**A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 726 hours. Assume the population is normally distributed and the population standard deviation is 57 hours. At $\alpha = 0.02$, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).**(a) Identify the null hypothesis and alternative hypothesis.**- A. $H_0: \mu > 749$ $H_a: \mu \leq 749$ (claim) - B. $H_0: \mu \neq 749$ (claim) $H_a: \mu = 749$ - C. $H_0: \mu = 726$ $H_a: \mu \neq 726$ (claim) - D. $H_0: \mu \leq 726$ $H_a: \mu > 726$ (claim) - E. $H_0: \mu \geq 749$ (claim) ✓ $H_a: \mu < 749$ - F. $H_0: \mu < 726$ (claim) $H_a: \mu \geq 726$ **(b) Identify the critical value(s). Use technology.**$z_0 = \_\_$*(Use a comma to separate answers as needed. Round to two decimal places as needed.)*---**Explanation of the Diagram:**The image provides a selection of hypotheses related to the mean life of light bulbs in a hypothesis testing framework. The correct option, identified in the image, states the null hypothesis $H_0: \mu \geq 749$, which is the manufacturer’s claim, and the alternative hypothesis $H_a: \mu < 749$, which suggests that the mean life is less than claimed. The task involves determining if there is sufficient evidence to reject the manufacturer’s claim at a given significance level, with calculations based on given data.

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Description: **Image Transcription for Educational Use**A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 726 hours. Assume the population is normal

Math

Statistics

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 726 hours. Assume the population is normally distribute population standard deviation is 57 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> 749 H us749 (claim) O B. H,: u#749(claim) H u=749 OC. Ho u= 726 H, u#726 (claim) OD Ha US726 Ho: u2749 (claim) OF Ho:H< 726 (claim)

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 726 hours. Assume the population is normally distribute population standard deviation is 57 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> 749 H us749 (claim) O B. H,: u#749(claim) H u=749 OC. Ho u= 726 H, u#726 (claim) OD Ha US726 Ho: u2749 (claim) OF Ho:H< 726 (claim)

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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