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Safari File Edit View History Bookmarks Window Help , 57%D' Mon 1:48 PM resentation mathxl.com Share Solved: The Fed STA 2000O Business Statistics PMWA 2017 Crisana Rios 11/13/17 1:48 pM Shape Fill Homework: Assignment 06 Score: 0 of 1 pt Instructor-created question Save Shape Outline 1 of 16 (3 complete) HW Score: 5.64%. 0.9 of 16 pts Queston Help * Fuel economy estimates for automobiles built one year predcted a mean of 28.2 mpg and a standard deviation of 5.8 mpg for highway driving. Assume that a Normal model can be applied. Use the 68-95-99.7 Rile t0 complete parts a) eugh e a) Draw the model fer aulo luel economy A. O C. b) In what interval would you 0xpoct the oonral 68% of autos to bo found? Using the 6895 99 7 nie, the central 68% of autos can be expected to betond n the men a tontompg (Do not nound. Type integers or decimals.) c) About whet percent of autos should get more than 34 mpg? Utng the 68-95-99.7 rulo, about of autos should got more than 34 mpg. Do not ound. Type an integer or a decimal. d) About what percant of autos should got botacen 34 and 39.8 mpg? Using the 68-95-99.7 rule, about | % of autos should get between 34 and 39.8 mug. (Do not round. Type an intoger or a decimal.) e) Describe the gas mileage of the worst 25% of Gn Click to solact your answorfs) and then click Chack Answor Cloar A Cneck Answer 110%Explanation / Answer
For the normal distribution, the values within onestandard deviation of the mean account for 68.27% of the set; while within two standard deviations account for 95.45%; and within three standard deviations account for 99.73%.
a) Mean = 28.2
SD = 5.8
A option
b) 68% will lie between 22.4 and 34
c) More than 34 means right to 1 SD from mean
100 - 50 - 68/2 = 16%
d) Between 34 and 39.8
right to 1 and 2 SD away from mean
95/2 - 68/2 = 13.5%
e) worst 2.5% of cars is 3 SD away to left
28.2 - 3* 5.8 = 10.8
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