A professor at a local university wish to determine whether there is a significant difference in the average of final examination marks between the students who took his STA404 course online and face-to-face. Fifteen students were randomly selected from each group and the final examination marks were recorded. Hence, he analysed the data using IBM SPSS and the results are as follows. Independent Samples Test b) Find the value of W. Levene's Test for Equality of F Variances Sig. t-test for Equality of Means t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of Lower the Difference Upper a) Are the variances of the two populations equal? Use α=0.05. Mark Equal variances assumed 2.041 .164 -1.524 W .139 -6.42000 4.21320 X Y Equal variances not assumed -1.524 24.625 .140 -6.42000 4.21320 -15.10390 2.26390

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A professor at a local university wish to determine whether there is a significant difference in
the average of final examination marks between the students who took his STA404 course
online and face-to-face. Fifteen students were randomly selected from each group and the
final examination marks were recorded. Hence, he analysed the data using IBM SPSS and
the results are as follows.
Independent Samples Test
Levene's Test for Equality of F
Variances
Sig.
t-test for Equality of Means
t
df
Sig. (2-tailed)
Mean Difference
Std. Error Difference
95% Confidence Interval of
the Difference
b) Find the value of W.
Lower
Upper
a) Are the variances of the two populations equal? Use α=0.05.
Mark
Equal variances
assumed
2.041
.164
-1.524
W
.139
-6.42000
4.21320
X
Y
Equal variances
not assumed
-1.524
24.625
.140
-6.42000
4.21320
-15.10390
2.26390
Transcribed Image Text:A professor at a local university wish to determine whether there is a significant difference in the average of final examination marks between the students who took his STA404 course online and face-to-face. Fifteen students were randomly selected from each group and the final examination marks were recorded. Hence, he analysed the data using IBM SPSS and the results are as follows. Independent Samples Test Levene's Test for Equality of F Variances Sig. t-test for Equality of Means t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference b) Find the value of W. Lower Upper a) Are the variances of the two populations equal? Use α=0.05. Mark Equal variances assumed 2.041 .164 -1.524 W .139 -6.42000 4.21320 X Y Equal variances not assumed -1.524 24.625 .140 -6.42000 4.21320 -15.10390 2.26390
c) Calculate the values of X and Y.
d) Based on the confidence interval obtained in c), is there any evidence to support that
the average of final examination marks for students who took online class is different
from face-to-face class? Give a reason to support your answer.
Transcribed Image Text:c) Calculate the values of X and Y. d) Based on the confidence interval obtained in c), is there any evidence to support that the average of final examination marks for students who took online class is different from face-to-face class? Give a reason to support your answer.
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