The data in the table to the right resulted from an experiment that utilized a c
ID: 2931579 • Letter: T
Question
The data in the table to the right resulted from an experiment that utilized a completely randomized design. Complete parts a and b below.
Treatment_1
Treatment_2
Treatment_3
3.4
5.2
1.3
1.7
2.6
0.7
4.1
4.7
2.2
5.3
3.5
2.4
a. Use statistical software or the appropriate calculation formulas to complete the ANOVA table below.
Source
df
SS
MS
F statistic
Treatments
?
?
?
?
Error
?
?
?
Total
?
?
(Round to three decimal places as needed.)
b. Test the null hypothesis that 1 = 2 = 3, where represents the true mean for treatment i, against the alternative that at least two of the means differ. Use alpha equals 0.01 .
Determine the test statistic.
Review the values in the ANOVA table and find the test statistic F, rounding to three decimal places as needed.
Determine the p-value.
Identify the values of k and n.
Determine the conclusion of the test.
Treatment_1
Treatment_2
Treatment_3
3.4
5.2
1.3
1.7
2.6
0.7
4.1
4.7
2.2
5.3
3.5
2.4
Explanation / Answer
a) The statistical software output for ANOVA table is:
ANOVA table
b) F = 4.172
p - Value = 0.0522
k = 3
n = 12
Conclusion: p - calue > 0.01, do not reject Ho. There is not sufficient evidence to conclude that at least two of the means differ.
Source DF SS MS F-Stat Columns 2 12.301 6.151 4.172 Error 9 13.268 1.474 Total 11 25.569Related Questions
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