Assume that the differences are normally distributed. Completeparts ?(a) through ?(d) below.

Observation	1	2	3	4	5	6	7	8	Open in StatCrunch + Copy to Clipboard + Open in Excel +
Upper X Subscript iXi	46.746.7	47.747.7	45.645.6	50.250.2	48.448.4	50.850.8	47.847.8	48.648.6
Upper Y Subscript iYi	50.150.1	48.448.4	47.347.3	54.554.5	47.947.9	50.950.9	49.649.6	50.350.3

?(a) Determine

d Subscript i Baseline equals Upper X Subscript i Baseline minusUpper Y Subscript idi=Xi?Yi

for each pair of data.

Observation	1	2	3	4	5	6	7	8
di	negative 3.4 ?3.4	negative 0.7 ?0.7	negative 1.7 ?1.7	negative 4.3 ?4.3	0.5 0.5	negative 0.1 ?0.1	negative 1.8 ?1.8	negative 1.7 ?1.7

?(Type integers or? decimals.)

?(b) Compute

d overbard

and

s Subscript dsd.

d overbardequals=negative 1.650 ?1.650

?(Round to three decimal places as? needed.)

s Subscript dsdequals=1.605 1.605

?(Round to three decimal places as? needed.)?(c) Test if

mu Subscript d?dless than<0

at the

alpha?equals=0.05

level of significance.

What are the correct null and alternative? hypotheses?

A.

Upper H 0H0?:

mu Subscript d?dless than<0

Upper H 1H1?:

mu Subscript d?dequals=0

B.

Upper H 0H0?:

mu Subscript d?dgreater than>0

Upper H 1H1?:

mu Subscript d?dless than<0

C.

Upper H 0H0?:

mu Subscript d?dless than<0

Upper H 1H1?:

mu Subscript d?dgreater than>0

D.

Upper H 0H0?:

mu Subscript d?dequals=0

Upper H 1H1?:

mu Subscript d?dless than<0