(Solution) - Assume that the population of heights of men has a -(2025 Original AI-Free Solution)

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Assume that the population of heights of men has a normal distribution with a mean of 69.5 in. and random samples of 100 men result in sample mean heights with a mean of 69.5 in. and a standard deviation of 0.24 in.
a. If one sample of 100 men results in a mean height of 69.0 in., how many standard deviations is the sample mean from the population mean?
b. What is the probability that a second sample of 100 men would have a mean less than 69.0 in.?