Question

In: Statistics and Probability

I need to know how to solve this on paper and on a ti-84 A new...

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

Solutions

Expert Solution

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.


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