PICS a1 | Xavier |
28 | 28 |
28 | 36 |
32 | 36 |
33 | 37 |
34 | 37 |
35 | 38 |
35 | 39 |
37 | 39 |
38 | 41 |
38 | 41 |
38 | 41 |
40 | 41 |
41 | 41 |
41 | 41 |
41 | 41 |
42 | 42 |
42 | 43 |
43 | 44 |
43 | 45 |
43 | 45 |
44 | 46 |
44 | 47 |
45 | 47 |
46 | 48 |
46 | 48 |
46 | 49 |
47 | 49 |
47 | 49 |
47 | 49 |
48 | 49 |
49 | 50 |
49 | 50 |
| 50 |
q07 sc3 11.2 sc3 Name:
The data are the essay scores from the spring 2012 COMET for PICS section A1 and Xavier High School students. Fill in the blank boxes in the table. Sketch an accurate box plot for the two samples.
Statistic | PICS a1 | Xavier |
Sample size n | | |
Sample mean | | |
Sample standard deviation sx | | |
-
Are the sample means mathematically different?
- Determine the p-value using the appropriate t-test for the sample mean for two samples.
- Would we reject the null hypothesis or fail to reject the null hypothesis at α = 0.05?
- Is there a statistically significant difference in the average performance on the essay between these two sections at an α = 0.05?
- Based on these results, which school produced the better essay writers?