1) One day at the Ohio State University, a group
of statisticians got together and tried the following experiment. They took a
novice punter out to the football field and had him kick one football filled
with air and then another football filled with helium (this is really true - I'm
not making this up!). They repeated the experiment 39 times and the data is
located at the link given
here. Test the claim of one of the researchers that "the helium did not
make a difference". Use the 0.05 significance level.
2) I bet you are sick of the cereals data by now,
but we get to visit it one more time!! This time we are really going to test the
hypothesis that the cereals in shelf 2 have greater average sugar content per
serving than those in shelf 1. Test this hypothesis at the 0.02 significance
level. Since many of you have trouble with downloading this data I have linked this
here.
3) Does the size of your brain determine your
intelligence? Look at the data in the file linked
here, we want to see if there is a correlation between the full scale IQ
scores and the MRI count. Test the claim that no correlation exists at the 0.05
significance level.
4) Do CEO's of companies who are 50 years of age
or older make more money than those under 50?. Consider the datafile linked
here. Test the claim that CEO's age 50 or older have greater average
salaries than those under 50 at the 95% level of confidence
5) A refinery in the San Francisco bay area
was to have its "baseline" set by the local board of environmental
quality. This gives the refinery incentive to "overestimate" the
amount of CO emitted in it's internal testing. Use the data collected at
this link to test the claim that the average CO emitted by the refinery
exceeds 33.5 parts per million which was the average from the board of
environmental quality testing on this refinery. Use the 99% level of confidence.
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