ua aconomy estimates or au omobiles built ana year pre i d a mean a 29.2 mpg and
ID: 2949263 • Letter: U
Question
ua aconomy estimates or au omobiles built ana year pre i d a mean a 29.2 mpg and a s andard de ation D 4.A mpg or highway dnving. Assuma hat a Norma modd an be appli d Use the 68-95-99.7 Rule to an ete parts a thr ugh a) Draw the mocel for auto fuel economy A. B. C. b) In what intrval woud you expect the central 95% afautas to be found? 10 Using the 68-95-99.7 rule, the central 95% of autos can be expected to be found in the interval from | Do not round. Type integers or c) About what percent of autos should get more than 34 mpg? mpg. Using the 6885-99.7 rule, about 11% af autos should get more than 34 mpg Do not rcund. Type an indager or a decimal. d) About what percent of autos should get betweer 34 and 38.8 mpg? Using the 68-95-99.7 rule, about 1 1% of aute should get between 34and 38.8 mpg. Do not round. Type an integer or a decimal. e) Describa the gas mieaga ofthe best 2.5% of cars. Choose the corrct answer balow A. They get more tnan 34 mpg. B. They get more an 43.6 mpg. C. They get more an 38.8 mpg. D. They get less than 24.4 mpg.Explanation / Answer
a) Option - B
b) Accordiing to emperical rule about 95% of the data falls within two standard deviation from the mean.
29.2 - 2 * 4.8 = 19.6
29.2 + 2 * 4.8 = 38.8
So the central 95% autos can be expected to be found in the interval from 19.6 to 38.8.
c) 34 is one standard deviation above the mean.
68%/2 = 34% autos falls between the mean and 34.
So 50% - 34% = 16% of autos should get more than 34 mpg.
d) 34 is one standard deviation above the mean.
68%/2 = 34% of autos falls between the mean and 34.
38.8 is two standard deviation above the mean.
So 95%/2 = 47.5% of autos falls between the mean and 38.8
So the required percentage of autos should get between 34 and 38.8 is = 47.5% - 34% = 13.5%
e) 5% of cars falls outside two standard deviation from the mean.
So 2.5% of autos falls below two standard deviation from the mean and 2.5% of cars falls above two standard deviation from the mean.
29.2 - 2 * 4.8 = 19.6
29.2 + 2 * 4.8 = 38.8
S 2.5% cars falls above 38.8 mpg.
Option - C) They get more than 38.8 mpg.
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