In: Statistics and Probability
Scenario 2: A computer teacher wants to know if a new training program in keyboarding will improve the students typing speed. The teacher randomly selects ten students to participate in a week of training with the new program. The teacher times their speed before and after the program, to see if the program is worth the time and expense. The teacher hypothesized that the new training program will increase the students typing speed.
Before Course After Course
50 55
42 46
70 78
63 61
58 52
35 45
46 47
52 57
60 71
49 58
What is the Research Question? Identify the independent and dependent variables.
Write the Null and Alternative Hypothesis (in words and notation) for the research scenario.
What is the difference between an independent samples t test and a repeated samples t test?
Compute the mean, median, mode, variance, and standard deviation for each data set.
Using an alpha level of .01, identify the critical value.
Compute a repeated-measures t statistic.
Draw out a bell curve and mark the critical region (take care to note if this is a directional hypothesis and label the critical region accordingly). Mark the t-test statistic on the curve as well. Based on the critical value and the t test statistic, what is the conclusion about the null hypothesis (reject or fail to reject)?
Compute and interpret the r2.
Write an APA formatted paragraph reporting the results. Include properly formatted alpha level, test results, significance value (p), and what conclusion you will draw about the hypothesis.