In Problem 1, the null hypothesis of equal weight of the male and female mice was tested using the t test. Use the exact sign test with α = .05. Compare the results from the sign test with those from the t test.
Problem 1
In Problem 2, test whether male rats are heavier, on average, than female rats. Use α = .05.
Problem 2
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.