Question: A study conducted by TomTom found that Hawaii had the slowest state highway drivers in the country. The drivers traveled at an average speed of

A study conducted by TomTom found that Hawaii had the slowest state highway drivers in the country. The drivers traveled at an average speed of 52.7 miles per hour (MPH). Assume the population standard deviation is 6.0 MPH.

a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 51 MPH?

b. What is the probability that a sample of 45 of the drivers will have a sample mean less than 51 MPH?

c. What is the probability that a sample of 60 of the drivers will have a sample mean less than 51 MPH?

d. Explain the difference in these probabilities.

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