Question

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.
2. 2. How many total observations are included in this ANOVA test? Show your work.
   3. c. Assume your calculated F statistic was 5.84. What would be your response to the null hypotheses? Please explain your answer?

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.