Question

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

Observation  

Observation   Xi Yi
1 44.0 47.1
2 48.0 49.8
3 45.6 47.9
4 47.7   51.8
5 51.9   51.8
6    47.9   47.8
7 47.1   48.3
8 47.8   49.3

(a) Determine di =Xi-Yi for each pair of data.

Observation 1 2 3 4 5 6 7 8

di   

​(b) Compute d and s d.

d=

sd=

​(c) Test if μd< 0 at the a=0.05 level of significance.

What are the correct null and alternative​ hypotheses?

A. H0​:μd=0 H1:μd<0

B. H0:μd<0 H1:μd>0

C. H0​:μd<0    H1​:μd<0

D. H0​:μd<0.   H1​:μd=0

​P-value=

Choose the correct conclusion below.

A.Reject the null hypothesis. There is insufficient evidence that μd<0 at the a=0.05 level of significance.

B. Do not reject the null hypothesis. There is sufficient evidence that μd<0 at the a=0.05 level of significance.

C. Reject the null hypothesis. There is sufficient evidence that μd < 0 at the a=0.05 level of significance.Your answer is correct.

D. Do not reject the null hypothesis. There is insufficient evidence that μ=d < 0 at the 0.05 level of significance.

​(d) Compute a​ 95% confidence interval about the population mean difference μd.

The lower bound=

The upper bound=

Answer 1