3. A State Highway Patrol periodically samples vehicles at various locations on a particular highway to test the hypothesis that the average speed exceeds the set limit of 70 mph. These locations are the best locations for radar patrol cars to catch speeders. At a particular location, a random sample of 30 vehicles shows a mean driving speed of 73.2 mph with a standard deviation of 8.1 mph. Is this location a candidate for radar patrol? Test using a 5% significance level. [15 points] D. Sketch and label the distribution of the test statistic. Shade the distribution to show the p- value AND calculate the p-value. E. What is the decision at the 5% level? Are the results significant? F. State your conclusion using a well written sentence.

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3. A State Highway Patrol periodically samples vehicles at various locations on a particular
highway to test the hypothesis that the average speed exceeds the set limit of 70 mph. These
locations are the best locations for radar patrol cars to catch speeders. At a particular location, a
random sample of 30 vehicles shows a mean driving speed of 73.2 mph with a standard deviation
of 8.1 mph. Is this location a candidate for radar patrol? Test using a 5% significance level. [15
points]
D. Sketch and label the distribution of the test statistic. Shade the distribution to show the p-
value AND calculate the p-value.
E. What is the decision at the 5% level? Are the results significant?
F. State your conclusion using a well written sentence.
Transcribed Image Text:3. A State Highway Patrol periodically samples vehicles at various locations on a particular highway to test the hypothesis that the average speed exceeds the set limit of 70 mph. These locations are the best locations for radar patrol cars to catch speeders. At a particular location, a random sample of 30 vehicles shows a mean driving speed of 73.2 mph with a standard deviation of 8.1 mph. Is this location a candidate for radar patrol? Test using a 5% significance level. [15 points] D. Sketch and label the distribution of the test statistic. Shade the distribution to show the p- value AND calculate the p-value. E. What is the decision at the 5% level? Are the results significant? F. State your conclusion using a well written sentence.
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