Answered: In order to test the above proposition,…

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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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