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#16 A random sample of companies in electric utilities (I), financial services (II), and food processing (III)...

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Statistics

#16

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

IIIIII
49.555.139.1
43.525.337.2
32.941.110.9
27.929.532.6
38.139.415.5
36.242.6
20.7

Shall we reject or not reject the claim that there is nodifference in population mean annual profits per employee in eachof the three types of companies? Use a 1% level ofsignificance.

(b) Find SSTOT, SSBET, andSSW and check that SSTOT =SSBET + SSW. (Use 3 decimal places.)

SSTOT=
SSBET=
SSW=


Find d.f.BET, d.f.W,MSBET, and MSW. (Use 3 decimalplaces for MSBET, andMSW.)

dfBET=
dfW=
MSBET=
MSW=


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


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

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

Source of
Variation		Sum of
Squares		Degrees of
Freedom		MSF
Ratio		P ValueTest
Decision
Between groupsNANA.
Within groups
Total

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