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Use the following information to answer Question 21 to Question 23: In a completely randomized experimental...

Use the following information to answer Question 21 to Question 23: In a completely randomized experimental design, 6 experimental units were used for each of the 4 levels of the factor (i.e., 4 treatments). Whether the average of atleast one of the three treatments(groups) signicantly dier needs to be tested at α = 0.05. 20. (2 points) State appropriate null and alternate hypothesis. 21. (6 points) Fill in the empty cells in the table. Source SS df MS F Treatment 10301 Error 24000 22. (2 points) What is the critical value associated with test? 23. (2 points) What is the conclusion of the test? Explain

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Answer #1

Ans 20)

the appropriate null and alternate hypothesis are

Ho: the average of each group are same

Ha the average of atleast one of the three treatments(groups) signicantly differ

21. (6 points) Fill in the empty cells in the table.

Source SS Df MS F
Treatment 10301 3 3433.667 2.861389
Error 24000 20 1200
Total 34301 23

22. the critical value associated with test is 3.098

23. since 2.861 < 3.098 (critical value ) so we do not reject Ho and conclude that the average of each group are same

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