Question

In: Statistics and Probability

3. We would like to know whether, on average, students learn better in a self-paced or...

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

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

p-value

0.01

critical t

1.96

critical (xbar1-xbar2)

3.53

Confidence Interval for difference in means

hi

8.4

lo

1.3

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)

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