The mean annual rainfall in a particular region is 80 inches with a standard deviation of 8 inches. If a sample of 32 years is selected, what is the probability that the mean annual rainfall for this sample will be less than 79 inches?
Solution :
Given that ,
mean = = 80
standard deviation = = 8
n = 32
= 80
= / n = 8/ 32 =1.4142
P( < 79 ) = P[( - ) / < (79 -80) / 1.4142]
= P(z <-0.71 )
Using z table
= 0.2389
probability= 0.2389
Get Answers For Free
Most questions answered within 1 hours.