(c) At the 0.05 level, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches. State the null and alternative hypotheses to test for difference among the means of the three populations. Ho: H₁ H₂ H3 H: At least two of the population means are different. O Ho: H₁ H₂ H3 H₂H₂ + H₂ H3 O Ho: H₁ H₂ H3 на: 1 = 2 =Из O Ho: H₁ H₂ H3 H: At least two of the population means are different. O Ho: At least two of the population means are different. H₂: H₁ = H₂=H3 Find the test statistic for testing the above hypothesis. (Round your answer to two decimal places.) Determine the p-value for the test. (Round your answer to three decimal places.) p-value = What do you conclude? We should reject H, and therefore can 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. innificant difference among the means of the three populations.
(c) At the 0.05 level, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches. State the null and alternative hypotheses to test for difference among the means of the three populations. Ho: H₁ H₂ H3 H: At least two of the population means are different. O Ho: H₁ H₂ H3 H₂H₂ + H₂ H3 O Ho: H₁ H₂ H3 на: 1 = 2 =Из O Ho: H₁ H₂ H3 H: At least two of the population means are different. O Ho: At least two of the population means are different. H₂: H₁ = H₂=H3 Find the test statistic for testing the above hypothesis. (Round your answer to two decimal places.) Determine the p-value for the test. (Round your answer to three decimal places.) p-value = What do you conclude? We should reject H, and therefore can 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. innificant difference among the means of the three populations.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(c) At the 0.05 level, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches.
State the null and alternative hypotheses to test for difference among the means of the three populations.
но: 1=2=3
H₂: At least two of the population means are different.
79°F
Sunny
O H₁ H₁ = μ₁₂ = 3
на: ц1 + H2 + из
O Ho: H₁ H₂ H3
на: 1=12=Из
O Ho: H₁ H₂ H3
Ha: At least two of the population means are different.
оно
: At least two of the population means are different.
на: М1=H2=Hз
Find the test statistic for testing the above hypothesis. (Round your answer to two decimal places.)
Determine the p-value for the test. (Round your answer to three decimal places.)
p-value
What do you conclude?
We should reject Ho and therefore can 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.
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 not reject H and therefore can conclude that there is a significant difference among the means of the three populations.
Test the hypotheses using the critical value approach. Let a = 0.05. (Round your answer to two decimal places.)
The critical value is found to be
✓
Since the test statistic is greater than v
the data to suggest a significant difference among the means of the three populations.
f4
*****
f5
10
W
f6
4-
f7
4+
fg
IAA
the critical value we should reject
fg
DII
f10
DDI
f11
✓Ho. Thus, we can
f12.
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prt sc
W
C
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3
conclude that there is sufficient evidence in
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Transcribed Image Text:esc
You may need to use the appropriate technology to answer this question.
Samples were selected from three populations. The data obtained are shown below. Please note the sample sizes are not equal.
Sample Mean (x₂)
Sample Variance (s²,)
(a) Compute the overall mean x.
11.5
X
79°F
Sunny
?
Between Groups
Within Groups
Total
Sample 1
7
O Hoi H₁ = H₂ = M3
E
10
M
9
Source of Variation Sum of Squares
10
9
f4
2
Sample 2
300
(b) Set up an ANOVA table for this problem. (Round your mean squares to four decimal places and your F statistic to two decimal places.)
*****
13
11
12
f5
Hoi H₁ = H₂ = 3
H: At least two of the population means are different.
12
1
40
(c) At the 0.05 level, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches.
State the null and alternative hypotheses to test for difference among the means of the three populations.
Sample 3
0
12
f6
15
Degrees of Freedom
13.5
4-
4.5
f7
Mean Square
4+
fg
IAA
fg
F
hp
DII
f10
DDI
f11
f12
insert
prt sc
W
delete
home
合成員
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Expert Solution
Step 1
Given:
| Sample 1 | Sample 2 | Sample 3 | |
| 7 | 13 | 12 | |
| 10 | 11 | 15 | |
| 9 | 12 | ||
| 10 | |||
| Sample mean | 9 | 12 | 13.5 |
| Sample variance | 2 | 1 | 4.5 |
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