Paired t-Test In the last few years, a number of web-based companies that offer job-placement services have been created. The manager of one such company wanted to investigate the job offers recent MBAs were obtaining. In particular, the manager wanted to know whether finance majors were being offered higher salaries than marketing majors. Suppose that we examine the transcripts of finance MBA majors and marketing MBA majors as follow. We randomly select a finance MBA major and a marketing MBA major whose grade point average (GPA) falls within a same range (based on a maximum of 4). Then the highest salary offer for each selected MBA major was recorded. This process was continued until there are enough records to cover the GPA from 2.0 to 4.0 (The minimum GPA required for graduation is 2.0). Finance Marketing 78000 75000 85000 79000 75000 79000 78000 76000 74000 79000 79000 76000 86000 80000 84000 71000 76000 85000 88000 88000 79000 80000 74000 83000 73000 77000 86000 77000 86000 82000 73000 79000 80000 83000 80000 73000 83000 80000 79000 73000 83000 75000 84000 73000 82000 76000 a. Why do we use the paired t test for these data? In other words, why these two samples are matched pairs? Select the most suitable answer. _____There are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics. ______There are two samples with equal number of data. _______There are two samples of MBA majors. ___x____None of these. b. Use Excel to create histogram and boxplot of the differences in salary. Based on your histogram and boxplot, select ALL the correct statements. __X__There is a skewed distribution for the differences data between the two samples. ____There is an approximately normal distribution for the differences data between the two samples. __X__There are outliers in the differences data between the two samples. ____There are NO outliers in the differences data between the two samples. _____None of these.
Paired t-Test
In the last few years, a number of web-based companies that offer job-placement services have been created.
The manager of one such company wanted to investigate the job offers recent MBAs were obtaining. In particular, the manager wanted to know whether finance majors were being offered higher salaries than marketing majors.
Suppose that we examine the transcripts of finance MBA majors and marketing MBA majors as follow.
We randomly select a finance MBA major and a marketing MBA major whose grade point average (GPA) falls within a same
Then the highest salary offer for each selected MBA major was recorded.
This process was continued until there are enough records to cover the GPA from 2.0 to 4.0 (The minimum GPA required for graduation is 2.0).
| Finance | Marketing |
|---|---|
| 78000 | 75000 |
| 85000 | 79000 |
| 75000 | 79000 |
| 78000 | 76000 |
| 74000 | 79000 |
| 79000 | 76000 |
| 86000 | 80000 |
| 84000 | 71000 |
| 76000 | 85000 |
| 88000 | 88000 |
| 79000 | 80000 |
| 74000 | 83000 |
| 73000 | 77000 |
| 86000 | 77000 |
| 86000 | 82000 |
| 73000 | 79000 |
| 80000 | 83000 |
| 80000 | 73000 |
| 83000 | 80000 |
| 79000 | 73000 |
| 83000 | 75000 |
| 84000 | 73000 |
| 82000 | 76000 |
a. Why do we use the paired t test for these data? In other words, why these two samples are matched pairs? Select the most suitable answer.
_____There are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics.
______There are two samples with equal number of data.
_______There are two samples of MBA majors.
___x____None of these.
b. Use Excel to create histogram and boxplot of the differences in salary. Based on your histogram and boxplot, select ALL the correct statements.
__X__There is a skewed distribution for the differences data between the two samples.
____There is an approximately
__X__There are outliers in the differences data between the two samples.
____There are NO outliers in the differences data between the two samples.
_____None of these.
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