Consider the following hypothesis test. H0: ?d ≤ 0 Ha: ?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.)
Consider the following hypothesis test. H0: ?d ≤ 0 Ha: ?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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
6h. Consider the following hypothesis test.
H0: ?d ≤ 0
Ha: ?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 | 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
? = 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
?d > 0.
Do not reject H0. There is insufficient evidence to conclude that
?d > 0.
Reject H0. There is sufficient evidence to conclude that
?d > 0.
Do not Reject H0. There is sufficient evidence to conclude that
?d > 0.
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