An experiment has a single factor with eight groups and five values in each group. a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom are there in determining the within-group variation? c. How many degrees of freedom are there in determining the total variation?

A) 7

B) 32

C) 39

Step-by-step explanation:

Degree of freedom is a means of checking how many values that are free to vary, while using a statistical method.

a) since the experiment has a single factor with eight critical values. Therefore;

C - F = degree of freedom among the group variation

8 - 1 = 7

b) The degree of freedom can be calculated, if the number of data; Therefore, number of data is;

N = 8 × 5 = 40

Then the degree of freedom in determining within group variation,

N - C Therefore;

40 - 8 = 32

C) The degree of freedom in determining the total variation is,

N - 1

40 - 1 = 39

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )