Testing the effects of radiation on the growth of tardigrades there were 3 levels, 1, 2, and 3.

Sample size=2 per level	Mean	Variance
Level 3 (highest radiation)	83.74	.14
Level 2 (medium level)	65.83	16
Level 1(Lowest radiation)	56.76	23

Assume all variances the same

a. If the means are the same, each mean has the same mean, and a variance of sigma2/2, so we can build 2 estimates of variance, we cani. Calculate Meantot=(mean1+mean2+mean3)/3, and var1=2*(sum(meani-meantot)^2)/2

ii. Calculate Var2=generalize the pooled estimate of variance from the outside the book, class notes(lecture 17), Calculate it.

iii. Calculate Var1/Var2~F with 2 and 3 degrees of freedom (why 3 df),

b. Test if the 2 estimates of variance are the same

c. If Var1>>Var2, what does that mean about the means of the data