Question

1. A biology instructor was interested in finding out about potential differences in the final exam scores of his two different statistics classes: an online course, which was completed in the summer of 2018 and had 62 students, versus an on-campus course in fall 2018 with 62 students. Students in each course completed the final and the average for the online course was 70 with a standard deviation of 8, while the on-campus course has an average of 74 with a standard deviation of 10. Run an f-max test followed by an independent t-test. Test at alpha .01. Report 99% Confidence Interval.

2. An investigator theorizes that people who participate in a regular program of exercise will have levels of systolic blood pressure that are significantly higher from that of people who do not. To test this idea, they randomly assign 21 subjects to an exercise program for 10 weeks and 21 subjects to a non-exercise comparison group. After 10 weeks, the mean systolic blood pressure of subjects in the exercise group was 137 with a standard deviation of 10 while the mean systolic blood pressure of subjects in the non-exercise group was 127 with a standard deviation of 9. Run an f-max test followed by an independent t-test. Test at alpha .01. Report 99% Confidence Interval.

Answer 1

1. Fmax = 1.5625
The value is significant at the 0.01 level of significant. The variances are not homogeneous and therefore the differences are statistically significant.

t = 1.2297
The value is nor significant at the 0.01 level if significance. The means are not statistically different.

2. Fmax = 1. 2346
The value is significant at the 0.01 level of significant. The variances are not homogeneous and therefore the differences are statistically significant.

t = 3.4062
The value is significant at the 0.01 level of significant. The differences between the means are statistically significant.