Question

in new york state, the mean salary for high school teachers in 2017 was $81,410 with a standard deviation of $9,500. only alaska’s mean salary was higher! assume new york’s state salaries follow a normal distribution.

Answer 1

The percentage of New Yorks state teachers that earn between $7000 and $75000 is 13.63%.

What will the percentage be?

Let the salary of the teachers be represented as x.

Mean = $81410

Standard deviation = $9500

In this case, the probability for normal distribution will be used. This is illustrated as P(a < Z < b).

where a = lower number.

b = higher number

Therefore, the probability of earning the amount will be:

P(70000 < X < 75000)

= P[(70000 - 81410/9500) < Z < (75000 - 81410/9500)

= P(-1.20 < Z < -0.67)

Using the z table to look for the value

= 0.8849 - 0.7486

= 0.1363

= 13.63%.

Therefore, the probability is 13.63%.

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in new york state, the mean salary for high school teachers in 2017 was $81,410 with a standard deviation of $9,500. only alaska’s mean salary was higher! assume new york’s state salaries follow a normal distribution. What is the percentage of New Yorks state teachers that earn between $7000 and $75000?