SOLUTION: The mean age at which men in the U.S. marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.5 years. F

Question 664955: The mean age at which men in the U.S. marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 25.1 years?
This is just one sample problem for my homework. I cannot seem to understand the process to answering these questions. Please show all formulas and calculations so that I can learn from this
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The mean age at which men in the U.S. marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 25.1 years?
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t(25.1) = (25.1-24.8)/[2.5/sqrt(60)] = 0.9295
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P(x-bar < 25.1) = P(t < 0.9295 when df = 59) = tcdf(-100,0.9295,59) = 0.8218
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Cheers,
Stan H.
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