Question

You wish to test the following claim (H) at a significance level of a = 0.01. For the context of this problem, Ha = 42 – Mi where the first data set represents a pre-test and the second data set represents a post-test. H:Md = 0 HQ:Hd < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 5 subjects. The average difference (post - pre) is d = – 14.7 with a standard deviation of the differences of sq = 18.2. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null

Answer 1

0.01 level with left tail test and n-1= 4 df, critical t=

-3.747

population mean μ=	0
sample mean 'x̄=	-14.70
sample size   n=	5.00
sample std deviation s=	18.20
std error 'sx=s/√n=	8.139
test stat t ='(x-μ)*√n/sx=	-1.806

since the test statistic is not less than critical value

the test statistic is not in the critical region

fail to reject the null