Question
In: Statistics and Probability
#16 A random sample of companies in electric utilities (I), financial services (II), and food processing...
#16
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 |
| 49.5 | 55.1 | 39.1 |
| 43.5 | 25.3 | 37.2 |
| 32.9 | 41.1 | 10.9 |
| 27.9 | 29.5 | 32.6 |
| 38.1 | 39.4 | 15.5 |
| 36.2 | 42.6 | |
| 20.7 |
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.
(b) Find SSTOT, SSBET, and SSW 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 decimal
places for MSBET, and
MSW.)
| dfBET | = | |
| dfW | = | |
| MSBET | = | |
| MSW | = |
Find the value of the sample F statistic. (Use 3 decimal
places.)
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 |
Solutions
orchestra answered 1 year agoRelated Solutions
A random sample of companies in electric utilities (I), financial services (II), and food processing (III)...
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
49.4
55.4
38.8
43.4
25.2
37.8
32.1
41.9
10.4
27.3
29.9
32.5
38.7
39.6
15.7
36.3
42.3
20.3
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 random sample of companies in electric utilities (I), financial services (II), and food processing (III)...
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
55.9
39.4
43.4
24.5
37.7
32.7
41.5
10.3
27.1
29.1
32.2
38.9
39.5
15.7
36.8
42.4
20.6
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 random sample of companies in electric utilities (I), financial services (II), and food processing (III)...
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 49.7 55.4 38.6 43.8 24.6 37.9
32.9 41.6 10.7 27.2 29.2 32.1 38.5 39.1 15.7 36.6 42.1 20.3 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 random sample of companies in electric utilities (I), financial services (II), and food processing (III)...
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
49.3
55.3
38.7
43.5
25.1
37.4
32.3
41.6
10.5
27.5
29.3
32.6
38.1
39.4
15.4
36.2
42.7
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 random sample of companies in electric utilities (I), financial services (II), and food processing (III)...
A random sample of companies in electric utilities (I),
financial services (II), and food processing (III) gave the
following information regarding annual profit per employee (units
is thousands of dollars). Shall we reject the null hypothesis that
there is no difference in mean profit per employee at the 1% level
of significance?
I. 49.1, 43.4, 32.9, 27.8, 38.3, 36.1, 20.2
II. 55.6, 25.0, 41.3, 29.9, 39.5
III. 39.0, 37.3, 10.8, 32.5, 15.8, 42.6
M14 #16: A random sample of companies in electric utilities (I), financial services (II), and food...
M14 #16: 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
49.4
55.4
39.0
43.7
25.0
37.5
32.5
41.5
10.5
27.6
29.7
32.9
38.3
39.3
15.6
36.7
42.3
20.2
A) Find SSTOT, SSBET,
and SSW and check that SSTOT =
SSBET + SSW. (Use 3 decimal places.)
B) Find d.f.BET, d.f.W,
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Construct a 95% confidence interval for the mean monthly
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