The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati

Question

3 years ago

6

The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati

on $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?

Mathematics

2 answers:

Natali [406] · Answer 1 · 2022-04-08T04:12:44+03:00

Answer:

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

Step-by-step explanation:

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

Marizza181 [45] · Answer 2 · 2022-04-08T06:35:29+03:00

Marizza181 [45]3 years ago

6 0

Answer:

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

Step-by-step explanation:

If my answer qualifies please mark brainliest!