Answered: Identify the null hypothesis and…

Name: A light bulb manufacturer guarantees that the mean life of a certain
Uploaded: 2024-03-20T07:07:12.000Z
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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 706 hours. Assume the population is normally distributed and the population standard

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 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.

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

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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