Answered: Employee A random sample of companies…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 5E: Population Genetics In the study of population genetics, an important measure of inbreeding is the...

See similar textbooks

Related questions

Topic Video

Question

Employee A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars).

I	II	III
49.1	55.6	39.0
43.4	25.0	37.3
32.9	41.3	10.8
27.8	29.9	32.5
38.3	39.5	15.8
36.1		42.6
20.2

Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the three types of companies? Use a 1% level of significance. Assume that the distributions are normal and have approximately the same population standard deviation.

What is the level of significance? State the null and alternate hypotheses.
Find SS_TOT, SS_BET, and SS_W and check that SS_TOT = SS_BET + and SS_W. Find d.f._BET, d.f._W, MS_BET and MS_W. Find the value of the sample test statistic F (F ratio). What are the degrees of freedom?
Find (or estimate) the P-value of the sample test statistic.
Based on your answers in parts (1), (2), and (3), will you reject or fail to reject the null hypothesis?
Make a summary table for your ANOVA test.

Expert Solution

Step 1

Part 1:

The level of significance is 0.01.

The null and alternate hypothesis are,

H0: μ₁ = μ₂ = μ₃= 0

H1: at least one μ_i≠ 0

We reject the null hypothesis if F-value > F-critical value.

We perform ANOVA using the step by step procedure in excel as below:

Enter the data into excel sheet.
Go to Data > Data Analysis > Anova: Single factor > Click OK.
Enter the input range and other values as given in the dialogue below and click OK.

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions