SOLUTION: In New York State, the mean salary for high school teachers in 2017 was $98,210 with a standard deviation of $9,560. Only Alaska’s mean salary was higher! Assume New York’s sta

Question 1168286: In New York State, the mean salary for high school teachers in 2017 was $98,210 with a standard deviation of $9,560. Only Alaska’s mean salary was higher! Assume New York’s state salaries follow a normal distribution.
a. What percent of New York’s state high school teachers earn between $84,000 and $89,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)

b. What percent of New York’s state high school teachers earn between $89,000 and $104,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)

c. What percent of New York’s state high school teachers earn less than $74,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
use the following calculator.

http://davidmlane.com/hyperstat/z_table.html

select area from a value.
enter mean = 98210.
enter standard deviation = 9560.
select between.
enter 84000 in the left box and 89000 in the right box.
hit the return and or select recalculate.

calculator tells you that the percent of teachers that make between 84,000 and 89,000 is 9.91%

select area from a value.
enter mean = 98210
enter standard deviation = 9560.
select between.
enter 89000 in the left box and 104000 in the right box.
hit the return and or select recalculate.

calculator tells you that the percent of teachers that make between 8000 and 104000 is 55.99%,

unless you need to do it manually through z-scores and / or the z-score tables, you're good to go.

if you do need to do it the hard way, let me know and i'll guide you through it.

here's two displays of the use of this calculator to solve your problem.

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