11.1 An experiment has a single factor with five groups and seven values in each
ID: 3361807 • Letter: 1
Question
11.1 An experiment has a single factor with five groups and seven values in each group. a)how many degrees of freedom are there in determining the among-group variation? b) How many degrees of freedom are there in determining the within-group variation? c)How many degrees of freedom are there in determining the total variation?
11.2 You are working with the same experiment as in Problem 11.1. a) If SSA= 60 and SST=210, what is SSW? b) What is MSA? c)What is MSW? d) What is the value of Fstat?
11.3 You are working with the same experiment as in Problems 11.1 and 11.2 a. Construct the ANOVA summary table and fill in all values in the table b. At the 0.05 level of significance, what is the upper-tail critical value from the F distribution? c. State the decision rule for testing the null hypothesis that all five groups have equal population means d. What is your statistical decision?
Just need the answers for 11.3.
Explanation / Answer
11.3
a.
b.
At the 0.05 level of significance, the upper-tail critical value from the F distribution with numerator DF = 4 and denominator DF = 30 is 2.69
c.
As, the observed F ( = 3) is greater than the critical value of 2.69, we reject the null hypothesis.
d.
As, we have reject the null hypothesis, we conclude that all five groups does not have equal population means.
Source Sum of Squares DF Mean Squares F Between 60 4 15 3 Within 150 30 5 Total 210 34 6.176471Related Questions
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