Identify the null hypothesis and alternative hypothesis. (b) Identify the critical​ value(s). Use technology. ​(c) Identify the standardized test statistic. Use technology. ​(d) Decide whether to reject or fail to reject the null​ hypothesis, and(e) interpret the decision in the context of the original claim.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 706 hours. Assume the population is normally distributed and the population standard deviation is 59 hours. At α=0.05​, do you have enough evidence to reject the​ manufacturer's claim? Complete parts​ (a) through​ (e).

(a) Identify the null hypothesis and alternative hypothesis.

(b) Identify the critical​ value(s). Use technology.

​(c) Identify the standardized test statistic. Use technology.

​(d) Decide whether to reject or fail to reject the null​ hypothesis, and(e) interpret the decision in the context of the original claim.

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