A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 766 hours. A random sample of 30 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At α=0.08​, do you have enough evidence to reject the​ manufacturer's claim? Complete parts​ (a) through​ (e).   Identify the critical​ value(s). Use technology. 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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 766 hours. A random sample of 30 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At α=0.08​, do you have enough evidence to reject the​ manufacturer's claim? Complete parts​ (a) through​ (e).

 

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

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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