A pharmaceutical company is testing a new cold medicine to determine if the drug has side affects. To test the drug, 8 patients are given the drug and 9 patients are given a placebo (sugar pill). The change in blood pressure after taking the pill was as follows:
Given drug: |
3 |
4 |
5 |
1 |
-2 |
3 |
5 |
6 |
|
Given placebo: |
1 |
-1 |
2 |
7 |
2 |
3 |
0 |
3 |
4 |
Test to determine if the drug raises patients’ blood pressure more than the placebo using a = 0.01 (please type)
Ans:
mean | std. dev | ||||||||||
Given drug: | 3 | 4 | 5 | 1 | -2 | 3 | 5 | 6 | 3.125 | 2.588 | |
Given placebo: | 1 | -1 | 2 | 7 | 2 | 3 | 0 | 3 | 4 | 2.333 | 2.345 |
n1=8,n2=9
Assumption:equal population variances are not equal
Test statistic:
t=(3.125-2.333)/SQRT((2.588^2/8)+(2.345^2/9))
t=0.658
df=8-1=7
p-value=tdist(0.658,7,1)=0.2658
As,p-value>0.01,we fail to reject the null hypothesis.
There is not sufficient evidence to conclude that the drug raises patients’ blood pressure more than the placebo .
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