4. 200 points The mean age at which men in the United States marry for the first

Question

4. 200 points The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.2 years. The standard deviation of the distribution is 2.8 years. For a random sample of 64 men, what is the likelihood that the age at which they were married for the first time is less than 24.4 years? (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Probability References e Book & Resources Worksheet Difficulty: 2 Intermediate Check

Explanation / Answer

4) std error of mean =std deviation/(n)1/2 =2.8/(64)1/2 =0.35

therefore probability P(Xbar<24.4)=P(Z<(24.4-24.2)/0.35)=P(Z<0.5714)=0.7161

2)a) different possible samples =6*5=30

c) mean of the sample mean =84

population mean =84

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