Question

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μ_d = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed.

x	7	4	10	3	13
y	4	6	6	4	8

t = 0.415

t = 1.292

t = 2.890

t = 0.578

Answer 1

d : x-y

n : Sample size = 5

Sample mean difference

Sample mean standard deviation of the difference

x	y	d:x-y
7	4	3	1.2	1.44
4	6	-2	-3.8	14.44
10	6	4	2.2	4.84
3	4	-1	-2.8	7.84
13	8	5	3.2	10.24
		=9		=38.8
		9/5=1.8

Value of t test statistic

t=1.292