(1 point) Suppose you are using a completely randomized design to study some phe

Question

(1 point) Suppose you are using a completely randomized design to study some phenomenon. There are five treatment levels and a total of 55 people in the study. Each treatment level has the same sample size Assume that all assumptions for ANOVA are satisfied (a) Complete the following ANOVA table. Source Degrees of Freedom Sum of Squares Mean Square P-value 583.39 Treatment Error Total 972.18 (b) Formulate the appropriate statistical hypotheses A. Ho The treatments make a significantcant difference on the response variable HA The treatments make no difference on the response variable B. Ho The treatments make no difference on the response variable HA : The treatments make a significantcant difference on the response variable (c) Find the critical value when is 5%; (d) Using an of 5%, Do the treatments make a significant difference on the response variable? ?

Explanation / Answer

a) below is the ANOVA table:

b)

option B is correct

c)

crtiical value for 4.50 degree of freedom =2.5572

d)

as p value is very less

Yes

Source of Variation df SS MS F P-value treatment 4 583.39 145.8475 7.5011 0.0001 error 50 972.18 19.4436 Total 54 1555.57

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