In: Statistics and Probability
I need to know how to solve this on paper and on a ti-84
A new otc medicine to treat a sore throat is to be tested for its effectiveness. The maker of the drugmedicine take 2 random samples of 25 individuals showing symptoms of a sore throat. Group 1 receives the new medicine and group 2 recieves a placebo. After a few days of the medicine, each group is interviewed and asked how they would rate their comfort level on a scale of 1-10 ( 1 being the most uncomfortable). The results are below. Is there sufficient evidence to conclude the variance in scores from group 1 is less than the variance of scores in group 2? test at a alpha=0.01
group 1 group 2
3 4
5 5
6 8
7 3
5 5
3 2
4 7
5 8
7 2
7 4
3 1
2 2
5 2
8 3
8 2
7 1
7 3
8 5
4 5
8 1
4 6
8 4
3 7
9 8
10 1
First We will calculate the sample variances for the 2
groups.
For group 1:
For Group 2:
F test for equality of variances:
Thus there is no sufficient evidence to conclude the variance in scores from group 1 is less than the variance of scores in group 2 at 0.01 level of significance.