SOLUTION: Adult females have an overhead reach distance: mean of 200.5 cm with standard deviation of 8.6 cm. Assume the reach distances are normally distributed. a. If 1 adult female is ran

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Question 863821: Adult females have an overhead reach distance: mean of 200.5 cm with standard deviation of 8.6 cm. Assume the reach distances are normally distributed.
a. If 1 adult female is randomly selected, find the probability that her overhead reach is less than 222.7 cm.
b. If 49 females are randomly selected, find the probability that they have a mean overhead reach less than 207 cm.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

a)z = 22.2/8.6 = 2.5814

P(z < 2.5814) = 99.51%

b)SDpop = 8.6/7 = 1.2286 

   z = 6.5/1.2286 = 5.29   

  P(z < 5.29) Basically 100%