Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $32,000 and a standard deviation of $3000. if 100 teachers are randomly selected, find the probability that their mean salary is less than $32,500.

0.9525

Step-by-step explanation:

Given : The salaries of elementary school teachers in the united states are normally distributed with a mean of and a standard deviation of .

Sample size : n= 100

Let x be a random variable that denotes the salaries of elementary school teachers in the united states.

Formula :

Then, the probability that their mean salary is less than $32,500 will be :-

Hence, the probability that their mean salary is less than $32,500 = 0.9525

233,100

step-by-step explanation:

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