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  | 
|||
| 
 n  | 
 40.00  | 
 40.00  | 
|||
| 
 xbar1-xbar2  | 
 4.85  | 
||||
| 
 stderr of (xbar1-xbar2)  | 
 1.80  | 
||||
| 
 t  | 
 2.70  | 
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| 
 p-value  | 
 0.01  | 
||||
| 
 critical t  | 
 1.96  | 
||||
| 
 critical (xbar1-xbar2)  | 
 3.53  | 
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| 
 Confidence Interval for difference in means  | 
|||||
| 
 hi  | 
 8.4  | 
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| 
 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)