Posted by **MT** on Tuesday, July 2, 2013 at 2:59pm.

The incomes in a certain lg. population of college teachers have a normal distribution with a mean of $35,000 and st. dev. of $5000. Four teachers are randomly selected. What is the probability their average salary will exceed $40,000?

- Stats -
**Kuai **, Tuesday, July 2, 2013 at 3:11pm
mean = 35000

St.dev =5000

x = 40000

z = (x - mean)/sd/sqrt(n)

- Stats -
**Kuai **, Tuesday, July 2, 2013 at 3:23pm
n =

z = (40000-35000)/5000/sqrt(4)

z = 5000/(5000/2)

z = 2

P(z >2)

- Stats -
**Kuai **, Tuesday, July 2, 2013 at 3:28pm
mean = 35000

st.dev = 5000

x = 40000

n = 4

z = (40000-35000)/5000/sqrt(4)

z = 5000/(5000/2)

z = 2

P(z >2) = 0.0228

## Answer This Question

## Related Questions

- Statistics - The average teacher's salary in North Dakota is $41,027. Assume a ...
- Sampling Distribution Complete solutions and illus - Sampling Distribution ...
- Math check - IQ scores in a certain population are normally distributed with a ...
- stats - This week we practice with Binomial Distribution. You can use Appendix ...
- stats - if the distribution of heights for adult men is approximately normal ...
- statistics - The scores of students on the ACT college entrance examination in ...
- statistic - Suppose that the distribution of household incomes in the United ...
- Statistics- quick! Is this right? - I need to verify one of my answers quickly...
- distribution - In a school, the IQ scores of the students have a normal ...
- Statistics - I am not sure how to even get started on this question could ...

More Related Questions