Question

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

Consider the following hypothesis test.

H₀: μ_d ≤ 0

H_a: μ_d > 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		Difference
	1	2
1	21	18
2	28	25
3	18	17
4	20	19
5	26	24

(b)

Compute d

(c)

Compute the standard deviation

s_d.

(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 insufficient evidence to conclude that

μ_d > 0.

Reject H₀. There is sufficient evidence to conclude that

μ_d > 0.

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

μ_d > 0.

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

μ_d > 0.

Answer 1