Question

Assume that the differences are normally distributed. Complete parts ​(a) through ​(d) below.

Observation	1	2	3	4	5	6	7	8
Upper X Subscript iXi	52.152.1	50.750.7	51.651.6	47.347.3	45.045.0	51.751.7	46.646.6	46.346.3
Upper Y Subscript iYi	54.454.4	52.552.5	54.554.5	52.152.1	46.746.7	53.953.9	50.550.5	48.248.2

​(a) Determine

d Subscript i Baseline equals Upper X Subscript i Baseline minus Upper Y Subscript idi=Xi−Yi

for each pair of data.

Observation	1	2	3	4	5	6	7	8
di	nothing	nothing	nothing	nothing	nothing	nothing	nothing	nothing

​(Type integers or​ decimals.)

Answer 1

Ans:

Observation	1	2	3	4	5	6	7	8
Xi	52.1	50.7	51.6	47.3	45	51.7	46.6	46.3
Yi	54.4	52.5	54.5	52.1	46.7	53.9	50.5	48.2
di	-2.3	-1.8	-2.9	-4.8	-1.7	-2.2	-3.9	-1.9
d-bar	-2.6875
sd=	1.1180

Test statistic:

t=(-2.6875-0)/(1.1180/sqrt(8))

t=-6.799