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Scenario 4: In 2016, the New York City Police Department tracked civilians that were detained under the stop-and-frisk program. The amount of time detained is

Scenario 4:

In 2016, the New York City Police Department tracked civilians that were detained under the "stop-and-frisk" program. The amount of time detained is not normally distributed with a mean of 9.06 minutes and a standard deviation of 8.2 minutes.

  1. Suppose a random sample of 23 civilians is obtained. Is the sampling distribution of normal in this case?
  • If your answer is yes: calculate the mean and standard deviation of when a sample of 23 is taken and then calculate the probability that the mean of 23 randomly selected civilians were detained longer than 10 minutes.
  • If your answer is no: explain why not.
  • 2.Suppose a random sample of 63 civilians is obtained. Is the sampling distribution of normal in this case?
  • If your answer is ves: calculate the mean and standard deviation of & when a sample of 63 is taken and then calculate the probability that the mean of 63 randomly selected civilians were detained longer than 10 minutes.
  • If your answer is no: explain why not.

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