Someone once told me that the average age of college students is 27. Does this value fall within the confidence interval? Assuming that this is the true mean age with a standard deviation of σ=6, what is the probability of seeing a mean age (of a sample of n=32) less than 24? Does this provide evidence that the true mean of  stat 243 students is less than 27? Can we generalize this result to all college students?

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