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 Difference 1 2 1 21 20   2 28 25   3 18 17   4 20 18   5 26 23   (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 insufficient evidence to conclude that μd > 0. Do not reject H0. There is insufficient evidence to conclude that μd > 0.      Do not Reject H0. There is sufficient evidence to conclude that μd > 0. Reject H0. There is sufficient evidence to conclude that μd > 0.

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 Difference
1 2
1 21 20  
2 28 25  
3 18 17  
4 20 18  
5 26 23  
(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 insufficient evidence to conclude that
μd > 0.
Do not reject H0. There is insufficient evidence to conclude that
μd > 0.
     Do not Reject H0. There is sufficient evidence to conclude that
μd > 0.
Reject H0. There is sufficient evidence to conclude that
μd > 0.

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