Answered: A random sample of companies in…

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 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
49.9	55.3	39.3
43.4	25.1	37.1
32.2	41.3	10.9
27.5	29.8	32.5
38.2	39.5	15.4
36.8		42.2
20.1

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 10% level of significance.

(a) What is the level of significance?

(b) Find SS_TOT, SS_BET, and SS_W and check that SS_TOT = SS_BET + SS_W. (Use 3 decimal places.)

SS_TOT	=	?
SS_BET	=	?
SS_W	=	?

Find d.f._BET, d.f._W, MS_BET, and MS_W. (Use 3 decimal places for MS_BET, and MS_W.)

df_BET	=	?
df_W	=	?
MS_BET	=	?
MS_W	=	?

Find the value of the sample F statistic. (Use 3 decimal places.)

What are the degrees of freedom?
?(numerator)
?(denominator)

(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

(f) Make a summary table for your ANOVA test.

Source of Variation	Sum of Squares	Degrees of Freedom	MS	F Ratio	P Value	Test Decision
Between groups	?	?	?	?	?	Do not reject H0.
Within groups	?	?	?
Total	?	?

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