Question

A study was conducted to investigate the effect of a new drug in reducing systolic blood pressure in women. The sample average systolic blood pressure of 36 women who took the new drug was shown to be 24 mmHg with a standard deviation of 6 mmHG. The sample systolic blood pressure of 40 women who took the standard drug was measured to be 36 mmHG with a standard deviation of 4 mmHG. The claim is that the new drug will be more effective in reducing blood pressure compared to the standard one.

1. Correct up to three decimal places, compute the appropriate test statistic to test the above claim.

2. The critical value to test the above claim with a significance level of .05 is [q1]

3. Assume that the computed test statistic value is -10.2 (it may r may not be). The most appropriate conclusion of the above mentioned hypothesis test is?

4. Correct up to 3 decimal places, the lower bound of the 95% confidence interval for the difference in average systolic blood pressure between those who took the new drug and the standard one is?

Answer 1

Solution: