The mean age at which men in the United States marry for the

The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.1 years. The standard deviation of the distribution is 2.7 years. For a random sample of 65 men, what is the likelihood that the age at which they were married for the first time is less than 24.3 years?

Solution

likelihood that the age at which they were married for the first time is less than 24.3 years=p(x<24.3)p(z<(24.3-24.1)/(2.7/sqrt65))=p(z<0.60)=0.72575