Question
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars).
| I | II | III | IV |
| 27.3 | 13.5 | 22.2 | 17.5 |
| 23.8 | 9.8 | 20.3 | 16.9 |
| 14.9 | 11.9 | 7.9 | 14.7 |
| 8.4 | 8.8 | 12.4 | 15.3 |
| 11.4 | 6.1 | 7.4 | 10.5 |
| 19.8 | 9.2 |
Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the four types of companies? Use a 5% level of significance.
(a) What is the 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 | ||||||
| Within groups | ||||||
| Total |
Homework Answers
Answer #1
applying one way ANOVA on above data:
a) level of significance=0.05
b)
SSTOT=705.458
SSBET=82.891
SSW=622.567
dfBET=3
dfW=18
MSBET=82.891/3=27.630
MSW=622.567/18=34.587
value of the sample F statistic =MSBET/MSE=27.630/34.587=0.799
degrees of freedom (numerator)=3
degrees of freedom (denominator)=18
| Source of variation | SS | df | MS | F | p vlaue | Decision | |
| treatments | 82.891 | 3.00 | 27.630 | 0.799 | 0.5105 | Do not reject Ho | |
| error | 622.567 | 18.00 | 34.587 | ||||
| total | 705.458 | 21.00 |
Not the answer you're looking for?
Similar Questions
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.3
13.7
22.5
17.8
23.6
9.4
20.1
16.4
14.9
11.6
7.7
14.2
8.9
8.6
12.4
15.6
11.8
6.6
7.2
10.7
19.2
9.6
Shall we reject or not reject...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.3
13.6
22.9
17.2
23.8
9.1
20.6
16.1
14.1
11.3
7.3
14.3
8.9
8.6
12.4
15.5
11.9
6.6
7.6
10.5
19.7
9.9
Shall we reject or not reject...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I (27.6;23.1;14.7;8.9;11.9)
II (13.1;9.9;11.7;8.1;6.9;19.5)
III ( 22.4;20.2;7.4;12.9;7.7)
IV (17.6;16.8;14.4;15.7;10.7;9.4)
Shall we reject or not reject the claim that there is no
difference in population mean annual profits per employee in each
of...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.5
13.8
22.1
17.6
23.1
9.5
20.3
16.8
14.3
11.3
7.7
14.3
8.9
8.3
12.5
15.1
11.1
6.1
7.9
10.6
19.5
9.8
Shall we reject or not reject...
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
55.3
38.7
43.7
24.7
37.7
32.6
41.3
10.7
27.5
29.8
32.8
38.1
39.1
15.5
36.7
42.1
20.8
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...
Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces...
Wind Mountain is an archaeological study area located in
southwestern New Mexico. Potsherds are broken pieces of prehistoric
Native American clay vessels. One type of painted ceramic vessel is
called Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
64
22
17
38
14
35
22
54
74
12
63
21
75
12
55
14
20
(b) Find SSTOT, SSBET, and
SSW and check that...
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four...
Another type of painted ceramic vessel is called
three-circle red-on-white ( Mimbres Mogollon
Archaeology). At four different sites in an archaeological
region, the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
Site IV
19
12
38
15
27
5
20
17
7
35
16
12
19
3
44
35
17
22
15
17
13
Shall we reject or not reject the claim that there is no
difference in the population mean three-circle...
Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of...
Where are the deer? Random samples of square-kilometer plots
were taken in different ecological locations of a national park.
The deer counts per square kilometer were recorded and are shown in
the following table.
Mountain Brush
Sagebrush Grassland
Pinon Juniper
30
20
5
26
63
4
25
22
1
32
22
8
Shall we reject or accept the claim that there is no difference
in the mean number of deer per square kilometer in these different
ecological locations? Use a...
Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of...
Where are the deer? Random samples of square-kilometer plots
were taken in different ecological locations of a national park.
The deer counts per square kilometer were recorded and are shown in
the following table.
Mountain Brush
Sagebrush Grassland
Pinon Juniper
34
20
3
26
56
12
18
17
9
31
22
7
(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,...
A sociologist studying New York City ethnic groups wants to determine if there is a difference...
A sociologist studying New York City ethnic groups wants to
determine if there is a difference in income for immigrants from
four different countries during their first year in the city. She
obtained the data in the following table from a random sample of
immigrants from these countries (incomes in thousands of dollars).
Use a 0.05 level of significance to test the claim that there is no
difference in the earnings of immigrants from the four different
countries.
Country I...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 3 minutes ago
asked 3 minutes ago
asked 4 minutes ago
asked 12 minutes ago
asked 25 minutes ago
asked 33 minutes ago
asked 44 minutes ago
asked 56 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago