According
to the norms established for a reading comprehension test, eighth graders
should average 83.2 with a standard deviation of 8.6. If 45 randomly
selected 8th graders from a certain school district averaged 86.9, check
the district superintendent's claim that his eighth graders are above
average. Test at a significance level of .01.
A psychologist
hypothesizes that college students today sleep less during the night
than college students of a generation ago. To test this hypothesis he
randomly selects 400 college students and asks them to record the hours
they sleep each night for a semester (similar to a study done 25 years
ago). The old study showed college students sleeping an average of 7.32
hours each night with a standard deviation of 1.08 hours. If the current
study yielded a mean of 7.24 hours, what conclusions can you draw with
.05 significance?
A sociologist
examining a large apartment complex wishes to discover if the average
number of persons per family unit differs significantly from the national
mean of 4.8. She interviews 100 families in the complex obtaining a
mean of 4.7 with a standard deviation of .80. What conclusions can you
draw with a .02 level of significance?