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#15 How productive are U.S. workers? One way to answer this question is to study annual profits...

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Statistics

#15

How productive are U.S. workers? One way to answer this questionis to study annual profits per employee. A random sample ofcompanies in computers (I), aerospace (II), heavy equipment (III),and broadcasting (IV) gave the following data regarding annualprofits per employee (units in thousands of dollars).

IIIIIIIV
27.313.222.717.9
23.49.220.416.9
14.311.57.214.8
8.48.212.715.1
11.86.57.010.2
19.89.8

(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

Answer & Explanation Solved by verified expert
4.5 Ratings (946 Votes)
One Way Analysis of Variance ANOVA I II III IV count ni 5 6 5 6 mean x i 17040 1140 1400 1412 std dev si 7990 4752 7307 339 sample variances si2 63833 22580 53395 11494 total sum    See Answer
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