In: Statistics and Probability
A sample of size 25 will be drawn from a population with mean 34 and standard deviation 8. Find the probability that x− will be greater than 36.
Solution :
mean = = 34
standard deviation = = 8
n = 25
= = 34
= / n = 8/ 25 = 1.6
P( >36) = 1 - P( < 36 )
= 1 - P[( - ) / < (36 -34) / 1.6]
= 1 - P(z < 1.25 )
= 1 - 0.8944 = 0.1056
Probability =0.1056