2. Every road has one at some point-construction zones that have much lower speed limits. To see if drivers obey these lower speed limits, a police officer used a radar gun to measure the speed (in miles per hour, or mph) of a random sample of 10 drivers in a 25 mph construction zone. Here are the results: 27 33 32 21 30 30 29 25 27 34 (a) Can we conclude that the average speed of drivers in this construction zone is greater than the posted 25 mph speed limit? Hypotheses:

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2. Every road has one at some point-construction zones that have much lower speed limits.
To see if drivers obey these lower speed limits, a police officer used a radar gun to
measure the speed (in miles per hour, or mph) of a random sample of 10 drivers in a 25 mph
construction zone. Here are the results:
21 30 30 29 25 27 34
(a) Can we conclude that the average speed of drivers in this construction zone is greater
than the posted 25 mph speed limit?
Hypotheses:
Conditions:
Mechanics:
Conclusion:
27
33 32
(b) Given your conclusion in part (a), which kind of mistake-a Type I or a Type II error-
could you have made? Explain what this mistake means in this context.
Transcribed Image Text:2. Every road has one at some point-construction zones that have much lower speed limits. To see if drivers obey these lower speed limits, a police officer used a radar gun to measure the speed (in miles per hour, or mph) of a random sample of 10 drivers in a 25 mph construction zone. Here are the results: 21 30 30 29 25 27 34 (a) Can we conclude that the average speed of drivers in this construction zone is greater than the posted 25 mph speed limit? Hypotheses: Conditions: Mechanics: Conclusion: 27 33 32 (b) Given your conclusion in part (a), which kind of mistake-a Type I or a Type II error- could you have made? Explain what this mistake means in this context.
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