A health care organization is evaluating two medicines (A versus B), which work

Question

A health care organization is evaluating two medicines (A versus B), which work on similar biochemical principles and should have similar variability in effectiveness. Medicine A is currently in use in the organization. You will only replace it with another medicine if the other medicine is proven more effective. Levels of a protein antibody are measured to determine effectiveness of the medicines (lower is better) Medicine A is tested on a group of 30 patients and yields X^bar = 41.3 and S = 32. Medicine B is tested on a group of 22 and yields X^bar = 33.1 and S = 38. Use alpha = 0.01. State H_0, H_1, alpha, and your test statistic. Then state your conclusion regarding the medicines in terms of the test critical value(s).

Explanation / Answer

Solution:

H0: Medicine B is not effective than A

Ha :Medicine B is effective than A.

USING MINI TAB

Two-Sample T-Test and CI

Sample   N   Mean StDev SE Mean
1       30 41.30   3.20     0.58
2       22 33.10   3.80     0.81

Difference = (1) - (2)
Estimate for difference: 8.200
99% CI for difference: (5.499, 10.901)
T-Test of difference = 0 (vs ): T-Value = 8.21 P-Value = 0.000 DF = 40

   T-Value = 8.21

T CRITICAL VALUE =+/- 2.70445927

T value greater than critical value.

reject null hypothesis

Medicine B more effective as Medicine A

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