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A major west coast city provides one of the most comprehensive emergency medical services in the...

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Statistics

  1. A major west coast city provides one of the most comprehensiveemergency medical services in the world. Operating in a multiplehospital system with approximately 20 mobile medical units, theservice goal is to respond to medical emergencies with a mean timeof 12 minutes or less.

The response times for a random sampleof 40 medical emergencies provided a mean of 13.25 minutes. Thepopulation standard deviation (σ) is believed tobe 3.2 minutes.

The EMS director wants to perform ahypothesis test and if the data provide enough evidence that theresponse time is longer than 12 minutes, the director will concludethat the emergency service is not meeting the response goal.

Test the above hypothesis using the.05 level of significance. (Hint: because you know σ, you will usethe Z table to find the critical value(s)).

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