Statistics

1. Stepping from the hypothesis “Total Physical Response is effective for teaching speaking”, carry out statistical calculation for the following data:
Pre-test : 55, 65, 85, 60, 65, 60, 50, 70, 80, 70
Post-test : 65, 70, 90, 65, 75, 75, 50, 80, 85, 70

2. Test results from experimental group and control group are as:
Experimental : 70, 80, 70, 65, 60
Control : 60, 70, 65, 60, 45
On the basis of these data, investigate whether you can reject null hypothesis that task based teaching is not effective for teaching reading.

3. Suppose that we want to discover the relationship between students’ writing ability and students’ reading score. Here are the scores:
Writing : 65, 70, 80, 65, 75, 65, 50, 75, 80, 75
Reading : 55, 65, 85, 60, 65, 60, 50, 70, 80, 70
Based on your calculation, then, check whether null hypothesis of “no relationship between writing ability and reading” can be rejected.

4. The implementation of method A, B, C, and D are as follows:
Method A : 60, 65, 75, 80, 85, 80, 75, 65, 70, 90
Method B : 50, 65, 70, 60, 90, 80, 60, 65, 80, 85
Method C : 70, 65, 60, 75, 80, 70, 50, 60, 70, 90
Method D : 70, 70, 80, 80, 80, 80, 70, 70, 85, 90
Compute the F ratio between and within group, then, interpret the result whether you can reject null hypothesis of “no significance difference among method A, B, C, and D”.