Answered: A researcher wishes to see if there is…

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 researcher wishes to see if there is a difference in the cholesterol levels of two groups of men. A random sample of 30 men between the ages of 25 and 40 is selected and tested. The average level is 223. A second random sample of 25 men between the ages of 41 and 56 is selected and tested. The average of this group is 229. The population standard deviation for both groups is 6. At α = 0.01, is there a difference in the cholesterol levels between the two groups? Assume that the population is normally distributed.

Required Steps:

Step 1: Label all given information.

Step 2:State the null and alternative hypothesis and identify the claim.

Step 3:Verify that the conditions are met to perform the test.

Step 4:Sketch the normal distribution and find the critical regions.

Step 5:Compute the test statistic.

Step 6:Make a decision

Step 7:Summarize the results.

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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