Fuel economy estimates for automobiles built one year predicted a mean of 26.2 mpg and a standard deviation of 4.8 mpg for highway driving. Assume that a Normal model can be applied. Use the 68 - 95 -99.7 Rule to complete parts a) through e). a) Draw the model for auto fuel economy. Oc. b) In what interval would you expect the central 68% of autos to be found? Using the 68-95-99.7 rule, the central 68% of autos can be expected to be found in the interval from to (Do not round. Type integers or decimals.) mpg c) About what percent of autos should get more than 31 mpg? Using the 68-95-99.7 rule, about % of autos should get more than 31 mpg. (Do not round. Type an integer or a decimal.) Fuel economy estimates for automobiles built one year predicted a mean of 26.2 mpg and a standard deviation of 4.8 mpg for highway driving. Assume that a Normal model can be applied. Use the 68 -95 -99.7 Rule to complete parts a) through e). Using the 68-95-99.7 rule, the central 68% of autos can be expected to be found in the interval from O toO mpg. (Do not round. Type integers or decimals.) c) About what percent of autos should get more than 31 mpg? Using the 68-95-99.7 rule, about% of autos should get more than 31 mpg. (Do not round. Type an integer or a decimal.) d) About what percent of autos should get between 31 and 35.8 mpg? Using the 68-95-99.7 rule, about % of autos should get between 31 and 35.8 mpg. (Do not round. Type an integer or a decimal.) e) Describe the gas mileage of the best 2.5% of cars. Choose the correct answer below. OA. They get more than 31 mpg. B. They get less than 21.4 mpg. OC. They get more than 40.6 mpg. O D. They get more than 35.8 mpg.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Fuel economy estimates for automobiles built one year predicted a mean of 26.2 mpg and a standard deviation of 4.8 mpg for highway driving. Assume that a Normal
model can be applied. Use the 68 - 95 - 99.7 Rule to complete parts a) through e).
a) Draw the model for auto fuel economy.
OA
OC.
E ER Vt sa
1A 2 28 31
b) In what interval would you expect the central 68% of autos to be found?
Using the 68-95-99.7 rule, the central 68% of autos can be expectled to be found in the interval fromto
(Do not round. Type integers or decimals.)
mpg
c) About what percent of autos should get more than 31 mpg?
Using the 68-95-99.7 rule, about % of autos should get more than 31 mpg.
(Do not round. Type an integer or a decimal.)
Fuel economy estimates for automobiles built one year predicted a mean of 26.2 mpg and a standard deviation of 4.8 mpg for highway driving. Assume that a Normal
model can be applied. Use the 68 - 95 - 99.7 Rule to complete parts a) through e).
Using the 68-95-99.7 rule, the central 68% of autos can be expected to be found in the interval from O toO mpg.
(Do not round. Type integers or decimals.)
c) About what peroent of autos should get more than 31 mpg?
Using the 68-95-99.7 rule, about% of autos should get more than 31 mpg.
(Do not round. Type an integer or a decimal.)
d) About what percent of autos should get between 31 and 35.8 mpg?
Using the 68-95-99.7 rule, about% of autos should get between 31 and 35.8 mpg.
(Do not round. Type an integer or a decimal.)
e) Describe the gas mileage of the best 2.5% of cars.
Choose the correct answer below.
OA. They get more than 31 mpg.
B. They get less than 21.4 mpg.
C. They get more than 40.6 mpg.
OD. They get more than 35.8 mpg.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff28dcf1-e4a3-472c-9659-81a8349ce75c%2Faa65476a-57ee-459f-b03a-b70e50561165%2Fibiakfg_processed.jpeg&w=3840&q=75)
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