Answered: In order to test the above proposition,…

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 study is conducted to determine whether Company ABC retains its workers longer than Company XYZ. The study finds that in a sample of 12 workers at Company ABC their average time with the company is 4.2 years. A sample of 10 workers at Company XYZ finds that the average time with the company is 3.5 years. It is known from previous records that both companies are normally distributed with population standard deviation for Company ABC was 1.5 years and Company XYZ was 1.2 years.

(a) In order to test the above proposition, state which statistics distribution you will use and justify your choice.

(b) Test the above proposition at the 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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