1. Two teachers teach two groups of students who are studying the same subject. In the first group, 30 students were selected of which 11 failed the quarterly examination while in the second group, 10 out of 24 students failed. At x = 0.01, is it valid to conclude that the rate of failure in the first group is less than that of the second group? What is the implication of the results of this test?

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1. Two teachers teach two groups of students who are studying
the same subject. In the first group, 30 students were selected of
which 11 failed the quarterly examination while in the second
group, 10 out of 24 students failed. At x = 0.01, is it valid to
conclude that the rate of failure in the first group is less than that
of the second group? What is the implication of the results of this
test?
Transcribed Image Text:1. Two teachers teach two groups of students who are studying the same subject. In the first group, 30 students were selected of which 11 failed the quarterly examination while in the second group, 10 out of 24 students failed. At x = 0.01, is it valid to conclude that the rate of failure in the first group is less than that of the second group? What is the implication of the results of this test?
In 2014, the variance of the scores in the National Achievement Test
for science was 9.61. A sample of 30 students was chosen from the
grade 10 students who took the same test in 2015 and their scores
gave a variance of 7.84. At a = 0.01, test the hypothesis that the
variance of the scores in the 2015 NAT for science is less than 9.61.
Transcribed Image Text:In 2014, the variance of the scores in the National Achievement Test for science was 9.61. A sample of 30 students was chosen from the grade 10 students who took the same test in 2015 and their scores gave a variance of 7.84. At a = 0.01, test the hypothesis that the variance of the scores in the 2015 NAT for science is less than 9.61.
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