Question

According to Exercise 9 on page 147, the Environmental Protection Agency measures a mean gas mileage for recently tested cars as 24.8 mpg with a standard deviation of 6.2 mpg. The dataset on Fuel economy in StatCrunch gives an average of 24.2 mpg with a standard deviation of 6.5 mpg. Joe’s car is estimated at 30 mpg.

(a)   Calculate the z-scores to find the relative tab at both sources (the Exercise and the Dataset).

(b)   Relative to the other cars, with which source will Joe have the highest mpg? These next questions focus on the Dataset. Assume a normal model and use the calculator functions normalcdf and InvNorm.

(c)   What percent of cars had a measure less than 20 mpg?

(d)   What percent of cars had a measure of more than 30 mpg?

According to Exercise 9 on page 147, the Environmental Protection Agency measures a mean gas mileage for recently tested cars as 24.8 mpg with a standard deviation of 6.2 mpg. The dataset on Fuel economy in StatCrunch gives an average of 24.2 mpg with a standard deviation of 6.5 mpg. Joe’s car is estimated at 30 mpg.

(a)   Calculate the z-scores to find the relative tab at both sources (the Exercise and the Dataset).

(b)   Relative to the other cars, with which source will Joe have the highest mpg? These next questions focus on the Dataset. Assume a normal model and use the calculator functions normalcdf and InvNorm.

(c)   What percent of cars had a measure less than 20 mpg?

(d)   What percent of cars had a measure of more than 30 mpg?

Answer 1

ANSHIER:- Given that Mean - au:9 6.2 bata sek:- २५ Mean = 6.5 2 scoye 30-24.8 6.2 = 0-8387 Lat E zercin) 2-scove - 30-2u- 6.5 b) Joe will have hig hest at dotaset becasure m.9 0-8923 708307 P(x<20) P( x-u P(z<> <20 -24. 6.5 Plz <- 6-6462) 0.25785 we have table using Normal Thus les than measuye as 25-7 85 of Cars had 20 mg -

d) P(x7 30) PLX- > 30-4 P(2> 30-24-2 6.5 P(27 0-8423) E981-0 thusu 18-67 of of more then 30 Cavy had a measure mpg. cs Scanned with CamScanner