4. Given the results from two drugs taken by the same subject, answer the follow
ID: 3266547 • Letter: 4
Question
4. Given the results from two drugs taken by the same subject, answer the following at = .15.
Subject
1
2
3
4
5
6
7
8
9
10
11
12
Drug 1
2.0
2.5
2.1
2.3
2.1
1.6
2.1
2.1
1.5
1.7
2.1
2.3
Drug 2
2.9
1.8
1.9
1.6
2.0
1.7
1.4
1.7
1.7
1.9
1.6
1.7
4.1 An independent test of the null hypothesis of no difference
4.2 A dependent test of the null hypothesis of no difference
Subject
1
2
3
4
5
6
7
8
9
10
11
12
Drug 1
2.0
2.5
2.1
2.3
2.1
1.6
2.1
2.1
1.5
1.7
2.1
2.3
Drug 2
2.9
1.8
1.9
1.6
2.0
1.7
1.4
1.7
1.7
1.9
1.6
1.7
Explanation / Answer
An independent test of the null hypothesis of no difference
since p-value = 0.145 < 0.15 ,hence we reject the null
A dependent test of the null hypothesis of no difference
since p-value = 0.17089 > 0.15
we fail to reject the null
t-Test: Two-Sample Assuming Equal Variances drug 1 drug 2 Mean 2.033333333 1.825 Variance 0.087878788 0.140227273 Observations 12 12 Pooled Variance 0.11405303 Hypothesized Mean Difference 0 df 22 t Stat 1.51105744 P(T<=t) one-tail 0.072502639 t Critical one-tail 1.061448843 P(T<=t) two-tail 0.145005277 t Critical two-tail 1.491619612Related Questions
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