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The data shown above reflects the number of wins for the Chicago Bears in each
season since 1978 when the NFL went to a 16 game season. The only season left
out was the 1982 strike shortened season. Test the alternate hypothesis that
"da Bears" are a winning football team against the null hypothesis that "da
Bears" are merely a .500 ball club.
Set up the statistical test by pressing 2ndF QUIT STAT , touching E TEST,
and double touching 03 Ttest1samp. The one-sample T test was chosen
because we have one small sample and we do not know the standard deviation.
If we had a sample larger than 30 or knew the standard deviation, then we could
use the Ztest1samp command. If we had two small samples or did not know the
standard deviations, then we would use Ttest2samp. If we had two large
samples or knew the standard deviations, then we could use the Ztest2samp.
All of these tests are for testing equality of a mean to a number (one sample
test) or equality of two means (two sample).
Set the alternate hypothesis to µ > µo by pressing ENTER . Set the null
hypothesis equal to 8 wins by pressing ▼ 8 ENTER . The null hypothesis
was set equal to 8, since eight wins would represent a .500 season. Set the List
to L1 by pressing 2ndF L1 ENTER .
Press 2ndF EXE to compute the statistical test. The following results will
be displayed.
50 Statistical Tests/STATISTICS USING THE SHARP EL-9600
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