The incomes in a certain large population of college teachers have a normal distribution with mean $75,000 and standard deviation $10,000. sixteen (16) 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?

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Business

Quinn Savage

6 April, 21:23

The incomes in a certain large population of college teachers have a normal distribution with mean $75,000 and standard deviation $10,000. sixteen (16) 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?

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Kailyn Houston · Answer 1

The probability that their average salary;

standard error

= 10,000/sqrt (16)

=10,000/4

= 2500

(77,500 - 75000) / 2500

2,500/2500

= 1

p (z > 1) =.1587

So, the probability that their average salary is more than $77,500 is 0.1587