The average age of doctors in a certain hospital is 46.0 years old with a standard deviation of 10.0 years. If 36 doctors are chosen at random for a committee, find the probability that the mean age of those doctors is less than 46.67 years. Assume that the variable is normally distributed.
Added by Ronald B.
Step 1
The standard deviation of the mean is the standard deviation of the population divided by the square root of the sample size. In this case, the standard deviation of the mean is 10.0 / sqrt(36) = 10.0 / 6 = 1.67 years. Show more…
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