Question

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

Observation	1	2	3	4	5	6	7	8
Xi	43.4	51.5	44.1	44.4	51.3	42.2	47.7	49.4
Yi	47.6	50.2	48.8	49.5	51.2	45.7	48.3	50.2

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

Observation            1                       2                       3                       4                       5                       6                   7

di                       _________      __________     __________   __________     __________    __________   __________             

(Type integers or decimals.)

(b) Compute d and sd .

d= __________ (Round to three decimal places as needed.)

                                    sd =__________(Round to three decimal places as needed)

(c) Test if μd < 0 at the α = 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 =_____________(Round to three decimal places as needed.)

Choose the correct conclusion below.

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

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

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

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

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

The lower bound is __________

The upper bound is __________                      

(Round to two decimal places as needed.)

Answer 1