Statistics Hypothesis Test: Flat
Tire
A classic tale involves for
carpooling students who missed a test and gave as an excuse a flat tire. On the
makeup test, the instructor asked the students to identify the particular tire
that went flat. If they really didn’t have a flat tire, would they be able to
identify the same tire? The author asked 41 other students to identify the tire
they would select. The results are listed in the following table (except one
student who selected the spare). Use a 0.05 significance level to test the
author’s claim that the results fit a uniform distribution. What does the
result suggest about the ability of the four students to select the same tire
when they really didn’t have a flat?
Tire: Left front Right front Left
rear Right rear
Number selected: 11 15 8 6
Conduct the hypothesis test and
provide the test statistic, critical value and/or p-value, and state the
conclusion.
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