Question

In: Statistics and Probability

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

  1. A major west coast city provides one of the most comprehensive emergency medical services in the world. Operating in a multiple hospital system with approximately 20 mobile medical units, the service goal is to respond to medical emergencies with a mean time of 12 minutes or less.

The response times for a random sample of 40 medical emergencies provided a mean of 13.25 minutes. The population standard deviation (σ) is believed to be 3.2 minutes.

The EMS director wants to perform a hypothesis test and if the data provide enough evidence that the response time is longer than 12 minutes, the director will conclude that 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 use the Z table to find the critical value(s)).

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