Question

In the United States, the mean age of men when they marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.7 years. For a random sample of 63 men, what is the likelihood that the age when they were first married is less than 25 years? (Round your z value to 2 decimal places. Round your answer to 4 decimal places.)

Answer 1

Solution :

= / n = 2.7 / 63  

P( < 25) = P(( - ) / < (25 - 24.8) / 2.7 / 63  )

= P(z < 0.59)

= 0.7224