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Description: In a previous study conducted several years ago, a man owned on average 15 dress shirts. The standard deviation of the population is 3. A researcher wishes to see if that average has changed. He selected a random sample of 45 men and found that the 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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In a previous study conducted several years ago, a man owned on average 15 dress shirts. The standard deviation of the population is 3. A researcher wishes to see if that average has changed. He selected a random sample of 45 men and found that the average number of dress shirts that they owned was 13.9. At α=0.01, is there enough evidence to support the claim that the average has changed? Assume that the variable is normally distributed. Use the critical value method with tables.

A.) State the hypotheses and identify the claim with the correct hypothesis.

H₀:

H₁:

B.) Find the critical value(s).

C.) Compute the test value.

D.) Make the decision.

________ the null hypothesis.

E.) 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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