Solution Found!
Caught speeding Suppose police set up radar surveillance
Chapter 5, Problem 46E(choose chapter or problem)
Problem 46E
Caught speeding Suppose police set up radar surveillance on the Stanford street described in Exercise. They handed out a large number of tickets to speeders going a mean of 28 mph, with a standard deviation of 2.4 mph, a maximum of 33 mph, and an IQR of 3.2 mph. Local law prescribes fines of $100, plus $10 per mile per hour over the 20 mph speed limit. For example, a driver convicted of going 25 mph would be fined 100 + 10152 = +150. Find the mean, standard deviation, maximum, and IQR of all the potential fines.
Exercise
Car speeds John Beale of Stanford, CA, recorded the speeds of cars driving past his house, where the speed limit was 20 mph. The mean of 100 readings was 23.84 mph, with a standard deviation of 3.56 mph. (He actually recorded every car for a two-month period. These are 100 representative readings.)
a) How many standard deviations from the mean would a car going under the speed limit be?
b) Which would be more unusual, a car traveling 34 mph or one going 10 mph?
Questions & Answers
QUESTION:
Problem 46E
Caught speeding Suppose police set up radar surveillance on the Stanford street described in Exercise. They handed out a large number of tickets to speeders going a mean of 28 mph, with a standard deviation of 2.4 mph, a maximum of 33 mph, and an IQR of 3.2 mph. Local law prescribes fines of $100, plus $10 per mile per hour over the 20 mph speed limit. For example, a driver convicted of going 25 mph would be fined 100 + 10152 = +150. Find the mean, standard deviation, maximum, and IQR of all the potential fines.
Exercise
Car speeds John Beale of Stanford, CA, recorded the speeds of cars driving past his house, where the speed limit was 20 mph. The mean of 100 readings was 23.84 mph, with a standard deviation of 3.56 mph. (He actually recorded every car for a two-month period. These are 100 representative readings.)
a) How many standard deviations from the mean would a car going under the speed limit be?
b) Which would be more unusual, a car traveling 34 mph or one going 10 mph?
ANSWER:
Step 1 of 3
z-score is given by,
