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Marina CMI [18]
3 years ago
9

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.
Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0

Answer: 0.9525

Step-by-step explanation:

Given : The salaries of elementary school teachers in the united states are normally distributed with a mean of \mu=\$32,000 and a standard deviation of \sigma=\$3000.

Sample size : n= 100

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

Formula : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

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

P(x

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

yanalaym [24]3 years ago
7 0
Can you make this question clearer to read
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