Question

You may need to use the appropriate technology to answer this question.

Consider the following hypothesis test.

H0: μd ≤ 0

Ha: μd > 0

(a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.)

Element	Population (1)	Population (2)	Difference
1	21	18	?
2	28	27	?
3	18	15	?
4	20	18	?
5	26	25	?

(b) Compute d.

(c) Compute the standard deviation sd.

(d) Conduct a hypothesis test using α = 0.05.

Calculate the test statistic. (Round your answer to three decimal places.)

Calculate the p-value. (Round your answer to four decimal places.) p-value =

What is your conclusion?

Reject H0. There is sufficient evidence to conclude that μd > 0.

Reject H0. There is insufficient evidence to conclude that μd > 0.

Do not Reject H0. There is sufficient evidence to conclude that μd > 0.

Do not reject H0. There is insufficient evidence to conclude that μd > 0.

Answer 1

2)

Pop 1	Pop 2	diff:(d)=x1-x2
21	18	3
28	27	1
18	15	3
20	18	2
26	25	1

b)

d =2.00

c)

standard deviation sd =1.00

test statistic            =

(d̅-μd)/Se         =

4.472

p value =0.0055

Reject H0. There is sufficient evidence to conclude that μd > 0.