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The distribution of passenger vehicle speeds traveling on EDSA is approximately normal with a mean of 72.6 miles/ hour and a standard deviation of 4.78

The distribution of passenger vehicle speeds traveling on EDSA is approximately normal with a mean of 72.6 miles/ hour and a standard deviation of 4.78 miles/hour.

  1. describe the sampling distribution of the sample means by stating its mean and standard deviation.
  2. what is the probability that the mean speed of 25 randomly chosen cars travels less than 70 miles/hour?
  3. what is the probability that the mean speed of 25 randomly chosen cars travels more than 76 miles/hours?
  4. what is the probability that the mean speed of 25 randomly chosen cars travel between 72 and 75miles/hour?

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