In given Problem, there was a sample of 12 litters of mice, each consisting of 1 male and 1 female, and the data consisted of 12 pairs of weights. Why is it inappropriate to use Table AS, the F table, on these data if we wish to find out whether or not the variability of weights is the same among male and female mice?
Problem
Mice from 12 litters were weighed when 4 months old, with one male and one female weighed from each litter. Weight in grams was recorded as follows:
|
Litter Number
|
Male
|
Female
|
|
1
|
26.0
|
16.5
|
|
2
|
20.0
|
17.0
|
|
3
|
18.0
|
16.0
|
|
4
|
28.5
|
21.0
|
|
5
|
23.5
|
23.0
|
|
6
|
20.0
|
19.5
|
|
7
|
22.5
|
18.0
|
|
8
|
24.0
|
18.5
|
|
9
|
24.0
|
20.0
|
|
10
|
25.0
|
28.0
|
|
11
|
23.5
|
19.5
|
|
12
|
24.0
|
20.5
|
Give a 95% confidence interval for the difference between the mean weight of male mice and female mice using a statistical program.