The average annual salary of public school teachers who graduated from a certain college is to be studied. (a) A random sample of 100 teachers has a mean of $31,678 with a standard deviation of $4,515. Construct a 99 percent confidence interval for the average salary of the population of public school teachers who graduated from this specific college. (b) Interpret in your own words what the confidence interval in (a) means.   (c) If 100 different 99 percent confidence intervals were generated, how many of them would you expect to contain the average salary of the teachers of this population?

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