Question

You are presented with the following ANOVA results: F crit(0.01, 2, 18) = 6.07. How many...

  1. You are presented with the following ANOVA results: F crit(0.01, 2, 18) = 6.07.
    1. How many individual “group” means are being compared? Show your work.
    1. How many total observations are included in this ANOVA test? Show your work.
    2. c. Assume your calculated F statistic was 5.84. What would be your response to the null hypotheses? Please explain your answer?

Homework Answers

Answer #1

Solution(a)
Given in the question
Degree of freedom for treatment = 2,
So total no. pf individual group = DF for treatment +1 = 2+1 = 3
Solution(b)
Degree of freedom for Error = 18
So total degree of freedom = 18+2 = 20
So total number of observation = 20+1 = 21
Solution(c)
At ftest stat = 5.84
DF numerator = 2
DF denominator = 18
So p-value from F table is = 0.0111
As we can see that p-value is greater than alpha value so we are failed to reject the null hypothesis.

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