Question

Cars of a certain type have mileage that are normally distributed with a mean of 23.9 mpg with a standard deviation of 1.2 mpg. If 13 cars of this type are randomly selected, find the probability that their mean mileage is between 24 mpg and 26 mpg.

Group of answer choices

0.3085

0.3821

0.428

0.1357

Answer 1

X = . = 12 mpg Answer we have given. car mileage mean u 23.9 mpg Standard deviation 6 sample size m 13. we know that, x ~ NC M, 02 then according to CLT ĂN NG M, 827 - - 8. Mx M = + - Xlow 23.9 1.2 0.333 J3 we have to compule pc mean mileage is between 24 f. 26) je PC 240 x 26 + 24-3379 < x- M 26 0.333 0.333 p(0.30 ( za 6.312 RCZ < 6:31) - pezzo.30) I - 0.6179 0.3821 - 23.9 ) PC 24 < x < 26) = 0.382) o opron 2) 0,382) is coneit.