Question

teachers’ salaries in connecticut the average teacher’s salary in connecticut (ranked first among states) is $57,337. suppose that the distribution of salaries is normal with a standard deviation of $7500. round intermediate z value calculations to two decimal places and the final answers to at least four decimal places. part: 0 / 2 part 1 of 2 (a) what is the probability that a randomly selected teacher makes less than $46,000 per year? p(x < 46,000) =

Explanation:

Step1: Calculate z-score

$z = \frac{X - \mu}{\sigma} = \frac{46000 - 57337}{7500} \approx -1.51$

Step2: Find probability from z-table

$P(Z < -1.51) \approx 0.0655$

Answer:

0.0655