Question

A study is to be made of the relative effectiveness of two kinds of cough medicines in increasing sleep. Six people with colds are given medicine A the first night and medicine B the second night. It is assumed that medicine A does not affect the effectiveness of medicine B in the second night. Their hours of sleep each night are recorded.

Data for Subject 123456 is as follows:
Medicine A: 7.2, 7.7, 7.8, 6.9, 7.9, 8.4
Medicine B: 5.9, 5.2, 7.0, 6.0, 7.1, 8.5
Based on these data, what statistical test would be appropriate to determine if there is a significant difference in the effectiveness of the two medicines?

a) T-Test

b) Chi-Square Test

c) ANOVA

d) Regression Analysis

Answer 1

The appropriate statistical test to determine the difference in effectiveness of the two cough medicines is a T-Test.

Step-by-step explanation:

Based on the given data, the appropriate statistical test to determine if there is a significant difference in the effectiveness of the two cough medicines is the T-Test. The T-Test is used to compare the means of two groups and determine if there is a significant difference between them.

To perform the T-Test, you would calculate the mean and standard deviation for each group (medicine A and medicine B) and then compare them using the T-Test formula. This will provide a p-value, which will indicate if the difference in effectiveness is statistically significant.