The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviation $10,000. Sixteen teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Accepted Solution
A:
Answer:probability that their average salary is more than $77,500 is 0.1587Step-by-step explanation:standard error= 10,000/sqrt(16)=10,000/4= 2500 (77,500 - 75000)/25002,500/2500= 1 p (z > 1) = .1587So, the probability that their average salary is more than $77,500 is 0.1587