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)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Question
(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
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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
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
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
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