Exercise : Interstates driving speeds in the US have an average of 70 mph with a

Question

Exercise : Interstates driving speeds in the US have an average of 70 mph with a standard deviation of 10 mph. (a) Suppose these driving speeds follow a mounded bell shaped distribution. a. What percentage of drivers in the US drive between 50 mph and 80 mph? b. If driving above 80 mph in the US will result in a speeding ticket, what percent of drivers will end up with a speeding ticket? Let thefollowing represent as ample of drivers' speedst67 3555 572 3 75 74 6,83 81 7867 80mm with corresponding sample mean and sample standard deviation are 7/69 and 12.6, respectively. Find the five numbers summary of this sample and provide the interpretation of the third quartile. Using the 1.5 × IQR rule, determine if there exists any outlier(s) in the sample. Using the empirical rule, determine if there exists any outlier(s) in the sample. (b) Now suppose the distribution of interstates driving speeds-in-the US is unknown but with the same characteristics (mean 70 mph and standard deviation 10 mph). Using Chebyshev's rule, at most what percent of drivers in the US drive less than 40 mph or more than 100 mph?

Explanation / Answer

empirical method ,

outlier - if more than 3 sd away from mean

not in (70 - 3*10 , 70 +3*10)

outlier if not present in (40,100)

only outlier present is 35

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