The police department of a major city needs to update its budget. For this? purp

Question

The police department of a major city needs to update its budget. For this? purpose, they need tounderstand the variation in their fines collected from motorists for speeding. As a? sample, they recorded the speeds of cars driving past a location with a 30 mph speed? limit, a place that in the past has been known for producing fines. The mean of 100 representative readings was 33.52

?mph, with a standard deviation of 3.273.27 mph.

?a) How many standard deviations from the mean would a car going the speed limit? be?

?b) Which would be more? unusual, a car traveling 4141 mph or one going 1818 ?mph?

Explanation / Answer

a)number of standard deviations from the mean =z score =(X-mean)/std deviation=(33.52-30)/3.27=1.08

b) absolute z score for 41 mph =|(41-30)/3.27|=3.36

absolute z score for 18 mph =|(18-30)/3.27|=3.67

as we know higher the value of z; higher the unusual value is

theefore a speed of 18 mph will be more unusual

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.