A classic story involves four 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? A statistician asked 47 other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a 0.05 significance level to test the statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really didn't have a flat? Tire Number Selected Left Front 12 Right Front 8 ... Determine the null and alternative hypotheses. Ho: The tires are selected with the same frequency. H₁: At least one tire has a different frequency than the other tires. Calculate the test statistic, X². x² = (Round to three decimal places as needed.) Left Rear 14 Right Rear 13

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A classic story involves four 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? A statistician asked 47 other randomly selected students
to identify the tire they would select. The results are listed in the accompanying table. Use a 0.05 significance
level to test the statistician's claim that the results fit a uniform distribution. What does the result suggest about
the likelihood of four students identifying the same tire when they really didn't have a flat?
Tire
Number Selected
Left Front
12
Right Front
8
...
Determine the null and alternative hypotheses.
Ho: The tires are selected with the same frequency.
H₁: At least one tire has a different frequency than the other tires.
Calculate the test statistic, X².
x²
=
(Round to three decimal places as needed.)
Left Rear
14
Right Rear
13
Transcribed Image Text:A classic story involves four 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? A statistician asked 47 other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a 0.05 significance level to test the statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really didn't have a flat? Tire Number Selected Left Front 12 Right Front 8 ... Determine the null and alternative hypotheses. Ho: The tires are selected with the same frequency. H₁: At least one tire has a different frequency than the other tires. Calculate the test statistic, X². x² = (Round to three decimal places as needed.) Left Rear 14 Right Rear 13
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