Answer questions a-d using the ANOVA summary table above. show any necessary wor

Question

Answer questions a-d using the ANOVA summary table above. show any necessary work.

a. how many groups participated?

b. how many participants were in each group? (assuming equal number of participants per group)

c. Refer to the F table. What is the critical value of F(4,45) at the .01 level?

d. Given a significant result at the .01 level, how confident are you (0-100 percent) that rejecting the null hypothesis is not due to chance? Additionally, what is the probability that you made a Type 1 error?

ANOVA summary table SS df MS F Between Groups 283.32 4 70.83 8.16 Within groups (error) 390.60 45 8.68 Total 673.92 49

Explanation / Answer

A. 5 groups have participated.

B. There were 10 participants in each group.

C. The critical value of F(4,45) at the .01 level = 3.77.

D. Because the result is significant at 0.01 level, we can be 99% confident that the null hypothesis is not rejected due to chance. The probability of a Type 1 error is 1%.

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