8.17 University students’ absenteeism has recently become an issue across countries. Absence from a lecture can be viewe

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8.17 University students’ absenteeism has recently become
an
issue across countries. Absence from a lecture can be viewed
as a personal decision based on both the ability and the
motivation
to attend. The absenteeism attitudes of university students
have
been the subject of considerable investigation for those
working
in further and higher education. A university lecturer
decides
to investigate her students’ attitude toward absenteeism and
retrieves the number of student absences from her classes for
the past 5 weeks. From a random sample of 25 tutorials, she
concludes an average of 11.6 absences per tutorial with a
sample
standard deviation of 4.1 absences.
a. Assuming that the population of a number of absences per
tutorial
over the past 5 weeks is normally distributed, construct a
90%
confidence interval estimate for the population mean of
absences
per tutorial in the past 5 weeks.
b. Do you think the lecturer can claim that on average there are
15
absences per tutorial? Explain.
c. If the lecturer feels her confidence interval is too narrow,
what can she do to solve her problem?