Please open the image in a new tab if you cannot see clearly

Please open the image in a new tab, if you cannot see clearly

You wish to test the following claim (H_alpha) at a significance level of alpha=0.05. For the context of this problem, mew_d=mew_2-mew_1 where the first data set represents a pre-test and the second data set represents a post-test. H_0:mew_d=0 H_alpha: mew_d>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=44 subjects. The average difference (post-pre) is d^-=3.6 with a standard deviation of the differences of s_d=20.1 What is the test statistic for this sample? test statistic= Round to 4 decimal places. What is the p-value for this sample? Round to 4 decimal places. p-value= The p-value is... less than (or equal to) alpha

Solution

T = 20.1 / (3.6 / srqt(44) )

T = 37.0356

p value : 0.000005

p value is less than alpha