SOLUTION: The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.7 years. The standard deviation of the distribution is 2.6

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Question 1091847: The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.7 years. The standard deviation of the distribution is 2.6 years.

For a random sample of 57 men, what is the likelihood that the age at which they were married for the first time is less than 25.2 years? (Round z value to 2 decimal places. Round your answer to 4 decimal places.)

Probability ____?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
I am assuming the mean of the random sample, not the number of men in the sample.
z=(bar-mean)/sigma/sqrt (n)
z<=(25.2-24.7)/2.6/sqrt (57)
z<=0.5*sqrt(57)/2.6
z <=1.452
probability is 0.9267

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