8. A car rental company finds that among drivers who go over their mile driving limit go over their limit by an average 4.5 miles with a standard deviation of 1.2 miles. You conduct a survey of 49 customers. You want to know the probability that the average drivers drove more than 5 miles or P(Xbar > 5) a) Write out the distribution of the mean: b) Calculate the Z-score for the probability that drivers drove more than 5 miles using the information above.

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8- A car rental company finds that among drivers who go over their mile driving limit go over their
limit by an average 4.5 miles with a standard deviation of 1.2 miles. You conduct a survey of 49
customers. You want to know the probability that the average drivers drove more than 5 miles or
P(Xbar> 5)
a)
Write out the distribution of the mean:
b) Calculate the Z-score for the probability that drivers drove more than 5 miles using the
information above.
c)
Look up the Z-score for problem "6 b" in the standard normal table, what value do you get?
d) Graph the picture of this problem with the X and Z values, solve P(Xbar > 5) and interpret
the results.
e)
Find the 25th percentile for this problem.
Transcribed Image Text:8- A car rental company finds that among drivers who go over their mile driving limit go over their limit by an average 4.5 miles with a standard deviation of 1.2 miles. You conduct a survey of 49 customers. You want to know the probability that the average drivers drove more than 5 miles or P(Xbar> 5) a) Write out the distribution of the mean: b) Calculate the Z-score for the probability that drivers drove more than 5 miles using the information above. c) Look up the Z-score for problem "6 b" in the standard normal table, what value do you get? d) Graph the picture of this problem with the X and Z values, solve P(Xbar > 5) and interpret the results. e) Find the 25th percentile for this problem.
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