SOLUTION: Assume that the population of heights of adult males has a normal distribution with a mean of 174.1 centimeters and a standard deviation of 7.1 centimeters. A. If a sample of s

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that the population of heights of adult males has a normal distribution with a mean of 174.1 centimeters and a standard deviation of 7.1 centimeters. A. If a sample of s      Log On


   

Question 1139145: Assume that the population of heights of adult males has a normal distribution with a mean of 174.1 centimeters and a standard deviation of 7.1 centimeters.
A. If a sample of size 100 adult males results in a means height of 172.0 cm, how many standard deviations is the sample mean away from the population mean?
B. What is the probability that a second sample of 100 adult males will have a mean less than 172.0 cm?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x bar-mean)/sigma/sqrt(n)
=(172-174.1)/7.1/sqrt(100)
=-2.1*10/7.1
=-2.96
That probability is 0.0015