Consider the following ANOVA experiments. (Give your answers correct to two decimal places.)

Question

(a) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis Ho: ì1 = ì2 = ì3 = ì4, with n = 23 and á = 0.025.
F

(b) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis Ho: ì1 = ì2 = ì3 = ì4 = ì5, with n = 22 and á = 0.025.
F

(c) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis Ho: ì1 = ì2 = ì3, with n = 17 and á = 0.025.
F

Answer 1

You will need to determine "degrees of freedom between" and "degrees of freedom within" before checking an ANOVA table using alpha level.

Note: k = number of levels.
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To calculate df within:

a) You have 4 levels. Your sample size is 23 Your alpha level is 0.025

df between = k - 1 = 4 - 1 = 3
df within = N - k = 23-4 = 19

Checking the table using 0.025 alpha level using the above degrees of freedom, I see critical value of 3.90

I'll let you try the rest.