statistics
posted by ggerrlo .
Suppose that the mpg rating of Passengers Cars is a normally distributed random variable with a mean and a standard deviation of 33,8 mpg and 3,5 mpg. Question : an automobiles manufacturer wants to build a new Passenger car with an mpg rating that improves upon 99% of existing Cars. What is the minimum mpg that would achieve this goal ?

Z = (scoremean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (.99) and its Z score. Insert data into above equation and solve for score.
Respond to this Question
Similar Questions

statistics
. An automobile is selling a new model car with an advertised in‐city mileage of 27 MPG. As with most car models, there is no associated measure of variability (variance, SD, etc.) included with the advertised MPG. You write … 
Statistics
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is moundshaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the … 
statistics
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is moundshaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the … 
Precalculus
1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage … 
Precalculus
1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage … 
precaculus
1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage … 
STAT
A manufacturer of a new car claims the typical car will average 32 mpg of gasoline. An independent consumer group is skeptical of the claim and thinks the mean gas mileage is significantly different than the 32 claimed. A sample of … 
Math
The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government … 
Math
he federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government … 
Stats
Suppose a Normal model describes the fuel efficiency of cars currently registered in your state. The mean is 27 mpg, with a standard deviation of 4 mpg. Describe the mileage of the most efficient 3% of all cars. a. greater than 24.9 …