Answered: A market researcher wants to perform a…

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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Question

A market researcher wants to perform a test with the intent of establishing that his company’s
pump bottle of soap has a mean lifetime greater than 40 days. The sample size is 70 and the
researcher knows that the standard deviation σ=5.6. Assume that the lifetimes of pump
bottles of soap follow a normal distribution.

a. If you set the rejection region to be R: ?̅ ≥41.31, what is the level of significance of
your test?

b. Find the numerical value of c such that the test R: ?̅ ≥? has a 5% level of significance.

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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