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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 55.8 MPH. Assume that the population standard deviation is 6 MPH. If a random sample of 64 drivers is selected.  

(a) What is the standard error of the mean?

(b) What is the probability that the sample will have a mean between 55 and 58 MPH?

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