Question

You wish to test H 0 : μ d = 0 versus H a : μ d < 0 at a significance level of 0.10. For the context of this problem, μ d = μ 2 − μ 1 where the first data set represents a pre-test and the second data set represents a post-test. You obtain pre-test and post-test samples for n d = 28 subjects. The average difference (post - pre) is ¯ x d = − 4.3 with a standard deviation of the differences of s d = 45.5 .

What is the test statistic?

Answer 1

0.5

Explanation:

Given :

H0 : μd = 0 VS H1 : μd ≠ 0

Test statistic :

xd / (sd ÷ √n)

Where ;

xd = mean difference = -4.3

sd = standard deviation of difference = 45.5

n = sample size = 28

The test statistic is thus :

-4.3 / (45.5 / √28)

-4.3 / 8.5986917

= 0.5000760

Hence, test statistic = 0.5