Question
For all of the California Community Colleges, the population of full-time faculty members have a mean age of 46.2 years with a standard deviation of 7.4 years.Assume that the ages of full-time faculty members is normally distributed. If a sample of 10 full-time faculty members are selected from a California Community College, what is the probability that the sample full-time faculty member will have a sample mean age younger than 40 years old (have a sample mean age less than 40 years)? Type in your final decimal solution for the probability rounded to four decimal places. P(X < 40) =
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