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The average teacher’s salary in Connecticut (ranked first among states) is $58,698. Suppose that the distribution...

The average teacher’s salary in Connecticut (ranked first among states) is $58,698. Suppose that the distribution of salaries is normal with a standard deviation of $7,500

a. What is the probability that a randomly selected teacher makes less than $52,000 per year?

b. If we sample 100 teachers’ salaries, what is the probability that the sample mean is less than $56,000?

math   Statistics-And-Probability   
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Answer #1

Let X denotes the teachess salay Given that Avesage teachets salay H58, 698 (i in $) Standard. dcriaHơn ; 1 m So, iven that 2 X N58, 693,(7500) a ) pteacher makes less than 52,000 P | < 52 000 : P(x-58, 698520 00-58 698 75 00 7500

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