Question

PRE-TEST QUESTION:

5. Seven people were selected for a study to compare pain relievers (Drug A and Drug B). Each person was given both drugs, one after the other. There was enough time between the two drugs so that the first one did not affect the second one. The drug that was given first was determined randomly. The people in the study gave a pain relief score on a scale of 1 to 100. Data and an Excel analysis are shown below. The researcher wishes to know whether or not there is a difference between the two drugs in terms of their effect on pain relief. A В E 1 person drug A 2 drug B drug A 70.57 drug B 1 87 85 Mean 73.29 3 2 70 78 Variance 441.95 312.24 4 Observations 3 94 99 7 4 78 65 Pearson Correlation 0.8941 Hypothesized Mean Difference 5 35 43 0 7 6 80 77 df 6 8 -0.757 7 50 66 t Stat P(T-t) one-tail 0.2388 10 t Critical one-tail 1.94 P(Tt) two-tail t Critical two-tail 11 0.4775 12 2.45 13 a. 5 pts. What statistical procedure does this output represent? (Circle one) al. Two-sample t-test for equality of means a2 Matched-pairs t-test a3. Test for equality of proportions a4. Confidence interval for a mean b. 5 pts. What conclusion should the physician make and why?

Answer 1

Page No. Date: 1 a) This output represents that, this is a matched - pairs t-test That is, ai is the correct option Because, here you are given that each person was given both drugs, one after the other that is, it is a paired data b) t statistic - -0.757_ TEL 0.757 .. It statistic) < t coitical two tail 0.757 < 2.45 So, we fail to reject the null hypothesis Suppose, Ho : There was a enough time between the two drugs so that the first one did affect the second one VS: Hi : There was a enough time between the two drugs so that the first a one did not affect the second one And we decided above that fail to reject the null hypothesis so the conclusion will be There was a enough time between the two drugs so that the first one did affect the second one.