SOLUTION: A sample of 50 senior citizens is drawn at random from a normal population whose mean age and standard deviation are 75 and 6, years, respectively.What is the probability that th

Algebra ->  Probability-and-statistics -> SOLUTION: A sample of 50 senior citizens is drawn at random from a normal population whose mean age and standard deviation are 75 and 6, years, respectively.What is the probability that th      Log On


   

Question 844302: A sample of 50 senior citizens is drawn at random from a normal population whose
mean age and standard deviation are 75 and 6, years, respectively.What is the probability that the mean age exceeds 73 years?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

using a TI Calculator

The syntax is normalcdf(smaller, larger, µ, σ)

mean age normalcdf(73, 9999, 75,6)= .6305   0r 63.05%

Note: The 9999 is used as the larger value to be at least 5 standard deviations from the mean.



Or  z = %2873-75%29%2F6+=+-1%2F3

  P(z≤ -1/3) =  .3695   and 1 - .3695 = .6305