#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).
I II III IV
27.3 13.2 22.7 17.9
23.4 9.2 20.4 16.9
14.3 11.5 7.2 14.8
8.4 8.2 12.7 15.1
11.8 6.5 7.0 10.2
19.8 9.8
(b) Find SS_TOT, SS_BET, andSS_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 decimalplaces for MS_BET, andMS_W.)
df_BET =
df_W =
MS_BET =
MS_W =

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 MS F
Ratio P Value Test
Decision
Between groups NA NA
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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df_BET	=
df_W	=
MS_BET	=
MS_W	=

I	II	III	IV
27.3	13.2	22.7	17.9
23.4	9.2	20.4	16.9
14.3	11.5	7.2	14.8
8.4	8.2	12.7	15.1
11.8	6.5	7.0	10.2
	19.8		9.8

Source of Variation	Sum of Squares	Degrees of Freedom	MS	F Ratio	P Value	Test Decision
Between groups					NA	NA
Within groups
Total

SS_TOT	=
SS_BET	=
SS_W	=