A biologist is interested in compare the mean growth of 4 species of a shrub in the Upper Michigan climates. She selects a random sample of 40 seeds from each of the 4 species and grow them under...

A biologist is interested in compare the mean growth of 4 species of a shrub in the Upper Michigan climates. She selects a random sample of 40 seeds from each of the 4 species and grow them under similar conditions to reduce confounding. After three months she measures the growth and conducts an Analysis of Variance (ANOVA) test to compare the mean growth. Suppose she set up the null hypotheses as

H0:μ1=μ2=μ3=μ4

and her computed FF-test statistic is F=3.24

1. What are the two degrees of freedom of the ANOVA?
   df1=      df2=
   
   
   
   


2. Use FF-distribution to find the pp-value of the given test-statistic.
   p=
   
   
   
   


3. Which of the following describes how the FF-test statistic is computed?
   A.  It is the the ratio of the variation among samples over the variation within samples.
   B.  It is the the sum of the variation among samples and the variation within samples.