In 2007, the mean property crime rate (per 100,000 people) for the 24 states wes

Question

In 2007, the mean property crime rate (per 100,000 people) for the 24 states west of a certain river was 3322. The standard deviation was 703. Assume the distribution of crime rates is unimodal and symmetric. Complete parts a through c below. a. What percentage of westem states would you expect to have property crime rates between 2619 and 4025? %(Type a whole number) b. What percentage of western states would you expect to have property crime rates between 1916 and 4728? % (Type a whole number.) ?. If someone guessed that the property crime rate in one state west of the Mississippi River was 9008 would this number be consistent with the data set? First find the upper bound for three standard deviations from the mean The upper bound that represents three standard deviations from the mean is Is 9008 consistent with the data set? O A. Yes, because 9008 falls within two standard deviations of the mean, so it is likely a state would have this value O B. Yes, because 9008 falls within one standard deviation of the mean, so it is likely a state would have this value. O C. No, because 9008 falls well above three standard deviations away from the mean, and it is therefore unlikely that a state would have this value. O D. No, because 9008 falls exactly three standard deviations away from the mean, and it is therefore unlikely that a state would have this value.

Explanation / Answer

a) P((2619-3322)/703<z<(4025-3322)/703)

= P(-1<z<1)

= 68%

b) P((1916-3322)/703<z<(4728-3322)/703)

= P(-2<z<2)

= 95%

c) (9008-3322)/703

= 8

d) Option C is Correct

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