Mean Mileage for a Minivan
Random Effects Models: Bumper Test of Three Types of Autos
July 9, 2019Sampling Distribution and Test Proportion
July 9, 2019THE MEANMILEAGE FOR A CERTAIN MINIVAN IS 19.5 MPG WITH A STANDARD DEVIATIONOF 1.8 MPG.
A. ASSUMING WE KNOW NOTHING ABOUT THE SHAPE OF THE DATASET, AT LEAST WHAT % OF TIME WILL THE RECORDED MILEAGE BE BETWEEN 16.8 AND 22.2 MPG?
B. ASSUMING WE CAN VERIFY THAT THE DATA SET IS APPROX NORMALLY DISTRIBUTED, WHAT % OF TIME WILL THE RECORDED MILEAGE BE GREATER THAN 15.9 MPG?
C. ASSUMING WE CAN VERIFY THAT THE DATA SET IS APPROX NORMALLY DISTRIBUTED 68% OF THE MILEAGES WILL BE WITHIN WHAT RANGE?
A)
16.8 to 22.2 is 19.5+/-1.5*1.8 or Mean +/- 1.5*Standard Deviation
When we know nothing about the data then (1-1/1.5^2)=0.5555 or 55.55% data will be recorded …
The solution discusses questions regarding recorded mileage.
