Joan was convinced that students who study abroad during college would report a more positive “college experience” than the general population of students, whose average “college experience” is m = 4.5 on a scale ranging from 1, totally negative, to 7, extremely positive). She sampled 7 students who had studied abroad. Their scores are as follows: X 4 6 7 7 6 5 7 *For this problem, you will be conducting a t test for a single sample. See pages 235-237 for an example of conducting this type of analysis and model your response after that problem. a) Step 1: What are the two populations? Restate the question as a research hypothesis and a null hypothesis about the populations. Is your research hypothesis directional or non-directional? b) Step 2: Determine the characteristics of the comparison distribution. In other words, what is the sample mean and what is the population mean? Also, calculate df, and the variance and standard deviations of the distribution of means. Show formulas and all work. c) Step 3: What is the critical value for this test at alpha = .05 (i.e., significance level of 5%)? d) Step 4: Determine your samples score on the comparison distribution. That is, calculate the t-test for your sample’s mean. SHOW ALL WORK and formulas. e) Step 5: Decide whether to reject the null hypothesis. State in words the results of your study (using an alpha of .05)?
- Joan was convinced that students who study abroad during college would report a more positive “college experience” than the general population of students, whose average “college experience” is m = 4.5 on a scale
ranging from 1, totally negative, to 7, extremely positive). She sampled 7 students who had studied abroad. Their scores are as follows:
X
4
6
7
7
6
5
7
*For this problem, you will be conducting a t test for a single sample. See pages 235-237 for an example of conducting this type of analysis and model your response after that problem.
a) Step 1: What are the two populations? Restate the question as a research hypothesis and a null hypothesis about the populations. Is your research hypothesis directional or non-directional?
b) Step 2: Determine the characteristics of the comparison distribution. In other words, what is the sample mean and what is the population mean? Also, calculate df, and the variance and standard deviations of the distribution of means. Show formulas and all work.
c) Step 3: What is the critical value for this test at alpha = .05 (i.e., significance level of 5%)?
d) Step 4: Determine your samples score on the comparison distribution. That is, calculate the t-test for your sample’s mean. SHOW ALL WORK and formulas.
e) Step 5: Decide whether to reject the null hypothesis. State in words the results of your study (using an alpha of .05)?
Use the given data to form excel table:
|
|
x |
||
|
|
4 |
-2 |
4 |
|
|
6 |
0 |
0 |
|
|
7 |
1 |
1 |
|
|
7 |
1 |
1 |
|
|
6 |
0 |
0 |
|
|
5 |
-1 |
1 |
|
|
7 |
1 |
1 |
|
Sum |
42 |
0 |
8 |
|
Mean |
6 |
0 |
1.14285714285714 |
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