SOLUTION: The height of adult males in Japan is approximately normally distributive with mean 68.5 inches and standard deviation of 1.7 inches. (These numbers are fictious.) (a) What pe

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The height of adult males in Japan is approximately normally distributive with mean 68.5 inches and standard deviation of 1.7 inches. (These numbers are fictious.) (a) What pe      Log On


   

Question 1171647: The height of adult males in Japan is approximately normally
distributive with mean 68.5 inches and standard deviation of 1.7 inches.
(These numbers are fictious.)
(a) What percent of Japanese adult males have a height between 68
inches and 69.2 inches?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
z68 is -0.5/1.7 or -0.29
z69.2 is 0.7/1.7 or +0.41
that probability of z in between these is 0.2732 or 27.3%
unrounded may use 2nd VARS2normalcdf(68,69.2,68.5,1.7)ENTER and get 0.2754 or 27.5%. Usually, z values to two decimal places have been used, but that was in the pre-calculator era.