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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 130000 dollars. Assume the standard deviation is 31000 dollars. Suppose you take a simple random sample of 61 graduates.

Find the probability that a single randomly selected salary has a mean value between 122061.7 and 137144.5 dollars. P(122061.7 < X < 137144.5) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a random sample of size n = 61 has a mean value between 122061.7 and 137144.5 dollars. P(122061.7 < ¯ x < 137144.5) = (Enter your answers as numbers accurate to 4 decimal places.)

I need a simple step-by-step method of how to solve this without technology. Sorry for the inconvenience.

Math   Statistics-And-Probability   
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