SOLUTION: Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level.
Treatment 1
8
11
10
Treatment 2
3
12
11
Algebra.Com
Question 328231: Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level.
Treatment 1
8
11
10
Treatment 2
3
12
11
8
4
Treatment 3
11
20
18
12
a. Set up the null hypothesis and alternative hypothesis.
b. State the decision rule.
c. Use Excel or Megastat to complete an ANOVA table. Copy the table and paste it here, not as a separate attachment.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level.
Treatment 1
8
11
10
Treatment 2
3
12
11
8
4
Treatment 3
11
20
18
12
a. Set up the null hypothesis and alternative hypothesis.
Ho: the means are all equal
Ha: At least one of the means is not equal
-----------
b. State the decision rule.
df numerator = k-1 = 3-1 = 2
df denominator = N-k = 12-3 = 9
---
F = 4.2565
c. Use Excel or Megastat to complete an ANOVA table. Copy the table and paste it here, not as a separate attachment.
test stat: F = 4.6901
p-value = 0.0402
Factor
df = 2
SS = 134.05
MS = 67.025
---
Error:
df = 9
SS = 128.62
MS = 14.29
==============
Cheers,
Stan H.
==============
RELATED QUESTIONS
The following is sample information. Test the hypothesis at the .05 significance level... (answered by stanbon)
The following is sample information. Test the hypothesis that the treatment means are... (answered by stanbon)
Given the following sample information, test the hypothesis that the treatment means are... (answered by stanbon)
The following is sample information. Test the hypothesis that the treatment means are... (answered by ElectricPavlov)
Thank your for your continued guidence and help in my pursuit of understanding... (answered by stanbon)
5. The following information was gathered for a One-Way ANOVA test at the .05 level of... (answered by stanbon)
The following hypotheses are given.
H0pie=0
H1pie does not =1
A sample of... (answered by stanbon)
Conduct a two-tailed hypothesis test given the information below.
Assuming that the... (answered by stanbon)
(i) When do you apply the analysis of variance technique?
(ii) The three samples given... (answered by CPhill)