Question

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 = 50 subjects. The average difference (post - pre) is ¯ d = 7.3 with a standard deviation of the differences of s d = 28.7 .What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =______________-What is the p-value for this sample? (Report answer accurate to four decimal places.)

Answer 1

test stat=1.7986

p value =0.0391

Explanation:

given

n=50

d = 7.3

s d = 28.7

formula to calculate test statistic

t=
`(d)/((s d)/(√(n) ) )`

⇒ t=
`(7.3)/((28.7)/(√(50) ) )`

⇒t=1.7986

for 49 df and t=1.7986 ,p value can be obtained from software

p value=0.0391