formation regarding the ACT scores of samples of students in three different majors is given below. Sample Size Average Management 12 Sample Variance a) Compute the overall sample mean . Between Treatments Within Treatments 26 17 Major Finance 9 23 6 Accounting 11 25 (b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and you Source of Variation Sum of Squares Degrees of Freedom Mean Square 11

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Information regarding the ACT scores of samples of students in three different majors is given below.
Sample Size
79°F
Sunny
Average
Sample Variance
?
(a) Compute the overall sample mean x.
Management
Between Treatments
Within Treatments
12
Total
26
17
f3
Major
Finance
(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.)
9
f4¹/
PERE
23
6
Source of Variation Sum of Squares Degrees of Freedom
f5
Accounting
11
(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)
10
25
11
(d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.
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 Ho and therefore cannot conclude that there is a significant difference among the means of the three
populations.
We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations.
We should reject H and therefore can conclude that there is significant difference among the means of the three-populations
O
101
f6
4-
Mean Square
4+
fg
KAA
fg
F
DII
10
f10
DDI
f12.
insert
prt sc
W
delete
home
4x D
end
1:23 PM
10/16/2022
pg up
pg d
Transcribed Image Text:esc 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. Sample Size 79°F Sunny Average Sample Variance ? (a) Compute the overall sample mean x. Management Between Treatments Within Treatments 12 Total 26 17 f3 Major Finance (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.) 9 f4¹/ PERE 23 6 Source of Variation Sum of Squares Degrees of Freedom f5 Accounting 11 (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) 10 25 11 (d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. 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 Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject H and therefore can conclude that there is significant difference among the means of the three-populations O 101 f6 4- Mean Square 4+ fg KAA fg F DII 10 f10 DDI f12. insert prt sc W delete home 4x D end 1:23 PM 10/16/2022 pg up pg d
esc
(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.)
Source of Variation Sum of Squares
79°F
Sunny
Between Treatments
Within Treatments
?
Total
Need Help?
(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)
[L]
(d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.
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 Ho and therefore cannot conclude that there is a significant difference among the means of the three
populations.
O We should 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 can conclude that there is a significant difference among the means of the three populations.
Read It
(e) Determine the p-value and use it for the test. (Round your answer to three decimal places.)
The p-value =
Since this is greater than ✔ the significance level we should not
difference among the mean ACT scores of the three majors.
3
Degrees of Freedom
a
NUO
f5
10
CEOL
Mean Square
f6
4-
♫+
fg
IAA
▷II
hp
f10
reject H and conclude that there is not
DDI
f11
f12.
insert
prt sc
>
W
sufficient evidence in the data to suggest a significant
delete
home
4x D
end
1:23 PM
10/16/2022
pg up
po
Transcribed Image Text:esc (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.) Source of Variation Sum of Squares 79°F Sunny Between Treatments Within Treatments ? Total Need Help? (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) [L] (d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. 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 Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. O We should 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 can conclude that there is a significant difference among the means of the three populations. Read It (e) Determine the p-value and use it for the test. (Round your answer to three decimal places.) The p-value = Since this is greater than ✔ the significance level we should not difference among the mean ACT scores of the three majors. 3 Degrees of Freedom a NUO f5 10 CEOL Mean Square f6 4- ♫+ fg IAA ▷II hp f10 reject H and conclude that there is not DDI f11 f12. insert prt sc > W sufficient evidence in the data to suggest a significant delete home 4x D end 1:23 PM 10/16/2022 pg up po
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