Teacher Salaries - The average teacher\'s salary inNorth Dakota is $29,863, assu

Question

Teacher Salaries - The average teacher's salary inNorth Dakota is $29,863, assume a normal distribution with =$5100.    a. What is the probability that a randomlyselected teacher's salary is greater then $40,000? b. what is the probability that the mean for a sampleof 80 teachers' salaries is greater than $30,000? Teacher Salaries - The average teacher's salary inNorth Dakota is $29,863, assume a normal distribution with =$5100.    a. What is the probability that a randomlyselected teacher's salary is greater then $40,000? b. what is the probability that the mean for a sampleof 80 teachers' salaries is greater than $30,000?

Explanation / Answer

Given =29863, = 5100 (a) P(X>40000) =P((X-)/ >(40000-29863)/5100) =P(Z>1.99) =0.0233 (check normal table) (b) P(xbar>30000) =P((xbar-)/(s/n) >(30000-29863)/(5100/sqrt(80))) =P(Z>0.2403) =0.405 (check normal table)

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