A study is conducted to measure the difference between three teaching methods which are blended leaming (Method A), open and distance leaming (Method B) and face-to-face leaming (Method C). A random sample of 21 students was participated in the study. Seven students were randomly assigned to each teaching method on STA210 course. A test was administered at the end of the course and the scores obtained by the students are recorded below. Method A 23 Method B Method C 19 23 18 24 20 22 19 26 24 24 19 26 22 23 21 29 28 24 28 a) At 5% significance level, test whether there are significant differences between the mean test scores for the three teaching methods. b) Construct a 95% confidence interval for the mean difference of test score between face to face and open distance learning. Can we conclude that the mean test score of face- to-face leaming exceeds open and distance leaming?

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A study is conducted to measure the difference between three teaching methods which are
blended leaming (Method A), open and distance learning (Method B) and face-to-face
leaming (Method C). A random sample of 21 students was participated in the study. Seven
students were randomly assigned to each teaching method on STA210 course. A test was
administered at the end of the course and the scores obtained by the students are recorded
below.
Method A
Method B
Method C
23
19
26
24
23
24
19
18
21
26
24
29
22
20
28
23
25
22
24
19
28
a) At 5% significance level, test whether there are significant differences between the
mean test scores for the three teaching methods.
b) Construct a 95% confidence interval for the mean difference of test score between face
to face and open distance learning. Can we conclude that the mean test score of face-
to-face learning exceeds open and distance leaming?
Transcribed Image Text:A study is conducted to measure the difference between three teaching methods which are blended leaming (Method A), open and distance learning (Method B) and face-to-face leaming (Method C). A random sample of 21 students was participated in the study. Seven students were randomly assigned to each teaching method on STA210 course. A test was administered at the end of the course and the scores obtained by the students are recorded below. Method A Method B Method C 23 19 26 24 23 24 19 18 21 26 24 29 22 20 28 23 25 22 24 19 28 a) At 5% significance level, test whether there are significant differences between the mean test scores for the three teaching methods. b) Construct a 95% confidence interval for the mean difference of test score between face to face and open distance learning. Can we conclude that the mean test score of face- to-face learning exceeds open and distance leaming?
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