Consider the following hypothesis test.
H0:μd ≤ 0
Ha:μd > 0
(a)
The following data are from matched samples taken from twopopulations. Compute the difference value for each element. (UsePopulation 1 − Population 2.)
| Element | Population | Difference |
|---|
| 1 | 2 |
|---|
| 1 | 21 | 20 | |
| 2 | 28 | 28 | |
| 3 | 18 | 18 | |
| 4 | 20 | 18 | |
| 5 | 26 | 24 | |
(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 threedecimal places.)
Calculate the p-value. (Round your answer to fourdecimal places.)
p-value =
What is your conclusion?
Reject H0. There is sufficient evidence toconclude that
μd > 0.
Do not Reject H0. There is sufficientevidence to conclude that
μd > 0.
     Do not rejectH0. There is insufficient evidence to concludethat
μd > 0.
Reject H0. There is insufficient evidence toconclude that
μd > 0.
