Question

# You may need to use the appropriate technology to answer this question. Consider the following hypothesis...

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

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.

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.

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