In: Statistics and Probability
3. We would like to know whether, on average, students learn better in a self-paced or in an instructor-paced computer learning environment. We randomly assigned 40 BL131 students to self-paced sessions and a different 40 students to an instructor-paced sessions for one unit and recorded the exam scores for that unit. The two-sided p-value for the comparison was 0.01. alpha = 0.05.
A) State your conclusion in context and say why you reached that conclusion.
We would like to know whether students learn better in a self-paced- or in an instructor-paced computer learning environment. We randomly assigned 40 BL131 students to self-paced sessions and a different 40 students to an instructor-paced sessions. Here are all the pieces of information from the analysis:
self-paced |
instructor-paced |
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x-bar |
73.75 |
78.60 |
|||
s |
8.10 |
7.90 |
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n |
40.00 |
40.00 |
|||
xbar1-xbar2 |
4.85 |
||||
stderr of (xbar1-xbar2) |
1.80 |
||||
t |
2.70 |
||||
p-value |
0.01 |
||||
critical t |
1.96 |
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critical (xbar1-xbar2) |
3.53 |
||||
Confidence Interval for difference in means |
|||||
hi |
8.4 |
||||
lo |
1.3 |
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5. State the null and alternative hypothesis for this test.
6. Our test statistic is (xbar1-xbar2) but to actually get the critical values and p-values we use a t-ratio. What, in plain English, is the t-ratio telling us specifically? (And don’t say ‘whether to reject Ho)