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An ABC News report stated that the mean distance that commuters in the UnitedStates travel each...

An ABC News report stated that the mean distance that commuters in the UnitedStates travel each way to workis 16 miles and the standard deviation is 8 miles. Random samples of 75 commuters are to be repeatedly chosen and the mean commute distance for each sample is to be calculated.

a)What is the mean of this sampling distribution of ?̅?

b)What is the standard deviation of this sampling distribution?

c)Doesthis sampling distributionhave a normal distribution? Explainhow you know this.

d)Find the probability that a random sample of 75 commuters has a mean commute distance of less than 15 miles.Show your work.

Math   Statistics-And-Probability   
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