Question

Assume that the paired data came from a population that is normally distributed. Using a

0.05

significance level and

d equals=x minus??y,

find

d overbard?,

s Subscript dsd?,

the t test? statistic, and the critical values to test the claim that

mu Subscript d?dequals=0.

x	7	1	6	9	6	10	6	11
y	5	6	8	14	8	12	8	12

d overbardequals=

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

s Subscript dsdequals=

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

t equals=

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

t Subscript alpha divided by 2t?/2equals=plus or minus±nothing

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

Answer 1

Ans:

x	7	1	6	9	6	10	6	11
y	5	6	8	14	8	12	8	12
difference(d)	2	-5	-2	-5	-2	-2	-2	-1
mean=	-2.125
std. dev=	2.232

From above data:

null

Test statistic:

t=(-2.125-0)/(2.232/sqrt(8))

t=-2.693

df=8-1=7

critical t value(two tailed)=tinv(0.05,7)=+/-2.365