A researcher has hypothesized that female college students are more disciplined than male college students. The research

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A researcher has hypothesized that female college students are
more disciplined than male college students. The researcher
believes that a reasonable measure of discipline is performance on
a statistics test in terms of both absolute scores and consistency
of scores. Seven male statistics students and seven female
statistics students are randomly selected and their scores on a
statistics test are observed.
Test Scores
Males 70 95 70 50 80 73 90
Females 70 85 90 90 80 74 49
a). Calculate the average test score for male
students and female students separately.
b). Calculate the variance of the test scores
for male students and female students separately.
c). Calculate the standard deviation of the
test scores for male students and female students separately.
d). What values fall within 1, 2 and 3 standard
deviations using the Empirical Rule for males and females.
e). Do you think that the data tend to support
the hypothesis that female college students are more disciplined
than male college students based on the researcher's
measurement?
5). What do you think about this particular
measurement of discipline?
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