Q2) Independent-Samples t-Test (Round calculated results to the hundredth (2nd place to the right of the decimal)) In a research project, researchers collected demographic and health data from a sample of elderly residents in the community. To examine any possible gender differences in their sample, they want to see if the females and the males differ significantly on the education level (number of years of formal schooling). The researchers are not predicting any direction in the possible gender differences so the hypotheses should be non-directional. They would like to run a two-tailed test with α = .10. Male Subject ID Education Female Subject ID Education 1 14 13 14 2 15 14 15 3 17 15 18 4 13 16 18 5 15 17 16 6 15 18 17 7 13 19 16 8 15 20 16 9 15 21 17 10 16 22 15 11 17 23 13 12 14 24 17 25 18 26 17 I. Calculate the tstatistic J. For the two-tailed test, find the critical t values for this hypothesis test based on the total degree of freedom (from question d above), and the preset alpha level. K. Compare the calculatedtstatistic with the critical t value by stating which is more “extreme”, and then draw a conclusion about the hypothesis test by stating clearly “reject” or “fail to reject” the null hypothesis.
Q2) Independent-Samples t-Test
(Round calculated results to the hundredth (2nd place to the right of the decimal))
In a research project, researchers collected demographic and health data from a sample of elderly residents in the community. To examine any possible gender differences in their sample, they want to see if the females and the males differ significantly on the education level (number of years of formal schooling). The researchers are not predicting any direction in the possible gender differences so the hypotheses should be non-directional. They would like to run a two-tailed test with α = .10.
|
Male Subject ID |
Education |
|
Female Subject ID |
Education |
|
1 |
14 |
|
13 |
14 |
|
2 |
15 |
|
14 |
15 |
|
3 |
17 |
|
15 |
18 |
|
4 |
13 |
|
16 |
18 |
|
5 |
15 |
|
17 |
16 |
|
6 |
15 |
|
18 |
17 |
|
7 |
13 |
|
19 |
16 |
|
8 |
15 |
|
20 |
16 |
|
9 |
15 |
|
21 |
17 |
|
10 |
16 |
|
22 |
15 |
|
11 |
17 |
|
23 |
13 |
|
12 |
14 |
|
24 |
17 |
|
|
|
|
25 |
18 |
|
|
|
|
26 |
17 |
I. Calculate the tstatistic
J. For the two-tailed test, find the critical t values for this hypothesis test based on the total degree of freedom (from question d above), and the preset alpha level.
K. Compare the calculatedtstatistic with the critical t value by stating which is more “extreme”, and then draw a conclusion about the hypothesis test by stating clearly “reject” or “fail to reject” the null hypothesis.
L. Calculate the pooled standard deviation for the populations (use the pooled variance calculated in question f); and then calculate the standardized effect size of this test.
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