In a completely randomized experimental design

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Practice Problems

In a completely randomized experimental design

Question 7

In a completely randomized experimental design, 7 experimental units were used for each of the 3 levels of the factor (i.e., 3 treatments):

Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square


Between Treatments





Error (Within Treatments)










1. Fill in the blanks in the following ANOVA table (There are 6 unknown numbers)

2. What is the null and alternative hypothesis for this ANOVA test?

3. Find the critical value of the F test at the 0.05 level of significance.

4. What is the conclusion of the F test? Please give reason.

Statistics"ANOVA test is a way to find out if the survey or the experiment results are significant and they help to figure out if there is a need to reject the null hypothesis or accept the alternate hypothesis. Basically, the groups are being tested to see if there’s a difference between them. ANOVA is basically an analysis tool which is used in that statistics that splits an observed aggregate v...

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