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	48.948.9	50.050.0	45.645.6	46.146.1	52.552.5	44.444.4	45.145.1	45.245.2
Upper Y Subscript iYi	52.552.5	50.850.8	50.250.2	51.451.4	52.852.8	45.745.7	48.848.8	47.947.9

​(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

​(b) Compute

d overbard

and

s Subscript dsd.

​(c) Test if

mu Subscript dμdless than<0

at the

alphaαequals=0.05

level of significance.

​(Type integers or​ decimals.)

Answer 1

a)

diff:(d)=x1-x2
-3.6
-45.8
-4.6
-5.3
-0.3
-1.3
-3.7
-2.7

b)

dbar = -8.413 (please take care of number of decimals as required in question)

sd =13.1961

test statistic            =	(d̅-μd)/Se         =	-1.566
p value	=	0.0807

fail to reject the null