The data in the table to the right resulted from an experiment that utilized a c
ID: 2931572 • 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.
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 3.7 5.2 1.9 1.7 2.3 0.2 4.1 4.7 2.1 5.5 3.8 1.9Explanation / Answer
a) The statistical software output for ANOVA table is:
ANOVA table
b) F = 3.224
p - Value = 0.0879
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 3.224 Error 9 17.168 1.908 Total 11 29.469Related Questions
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