Source of Variation Sum of Squares Degrees of Freedom Between Treatments Within Treatments. Total 1000 Mean Square ng a = 0.01, determine the critical value of F. (Round your answer to two decimal places)
Source of Variation Sum of Squares Degrees of Freedom Between Treatments Within Treatments. Total 1000 Mean Square ng a = 0.01, determine the critical value of F. (Round your answer to two decimal places)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:(a) Compute the overall sample mean .
29.5
X
(b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.)
68°F
Clear
Between Treatments
Within Treatments
Source of Variation Sum of Squares Degrees of Freedom
?
Total
Need Help?
(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)
(d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.
O We should not reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.
We should not reject H. and therefore cannot conclude that there is a significant difference among the means of the three
populations.
O We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations.
O We should reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.
@
The p-value =
Since this is greater than
difference among the mean ACT scores of the three majors.
(e) Determine the p-value and use it for the test. (Round your answer to three decimal places.)
the significance level we should not
Read It
6
f3
00
#
*
M
$
f5
T
H
do
N
%
5
f6
4-
Mean Square
6
f7
♫+
&
7
f8
IAA
fg
8
DII
✓ reject Ho and conclude that there is not
hp
f10
DDI
f11
f12
insert
prt sc
W
✓ sufficient evidence in the data to suggest a significant
delete
backspace
home
num
lock
end
9:17 PM
10/16/2022
pg up
S
pg dn
Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Information regarding the ACT scores of samples of students in three different majors is given below.
esc
Sample Size
68°F
Clear
Average
Sample Variance
?
(a) Compute the overall sample mean .
29.5
X
Between Treatments
Management
Within Treatments
Total
f2
12
26
f3
17
#
Source of Variation Sum of Squares
*
(b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.)
Major
Finance
000
F
9
23
$
6
(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)
f5
Accounting
(d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.
O We should not reject H. and therefore can conclude that there is a significant difference among the means of the three populations.
We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the three
populations.
O We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations.
We should reiect H and therefore can conclude that there is a significant difference among the means of the three populations
0
11
25
%
11
Degrees of Freedom
16 -
6
Mean Square
f7
4+
&
7
fg
IAA
#
fg
00
8
F
DII
f10
DDI
fil
f12
N
insert
prt sc
delete
backspace
home
num
lock
end
9:17 PM
10/16/2022
pg up
S
4
pg dn
Expert Solution
Step 1
Given,
| Sample | Management | Finance | Accounting |
| Sample size (n) | 12 | 9 | 11 |
| Mean ( x̄ ) | 26 | 23 | 25 |
| sample variance (s^2) | 17 | 6 | 11 |
Step by step
Solved in 3 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman