##### Question

In: Statistics and Probability

# The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services...

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4639 4639 miles, with a standard deviation of 437 437 miles. If he is correct, what is the probability that the mean of a sample of 32 32 cars would differ from the population mean by less than 181 181 miles? Round your answer to four decimal places.

## Solutions

##### Expert Solution

µ = 4639

sd = 437

n = 32

= P(|Z| < 2.34)

= P(-2.34 < Z < 2.34)

= P(Z < 2.34) - P(Z < -2.34)

= 0.9904 - 0.0096

= 0.9808

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