Question

1. A pair of doctors are studying a couple new medications. Doctor A found that the medication they were studying has an average score of 5.65. The standard deviation of the scores is 2.61. They tested their medication on 40 people.

1. Calculate the 95% confidence interval for the mean.

2. If the standard medication has an average score of 4.5, does this new medication seem different?

Now, go back and run a t-test on this data and see if it is different. Calculate the following:

3. T-statistic

4. P-value

5. 95% confidence interval for the mean difference

Doctor B found that their medication has an average score of 5.30 and a standard deviation of 3.4 and they tested it on 40 people.  

6. Calculate the 95% confidence interval for the mean

7. If the standard medication has an average score of 4.5, does this new medication seem different?

Now, go back and run a t-test on this data and see if it is different. Calculate the following:

8. T-statistic

9. P-value

10. 95% confidence interval for the mean difference

Doctor A bets that their medication is better than Doctor B’s medication.

Calculate the following:

11. T-statistic

12. P-value

13. 95% confidence interval for the mean difference

14. Is there a difference the 2 medications?

15. Do the results you just found seem to contradict what you found earlier?

16. If so, how do you rationalize that? If not, why didn’t you?

Answer 1