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27) The mean salary of people living in a certain city is $37,500 with a standard...

27)

The mean salary of people living in a certain city is $37,500 with a standard deviation of $1,614. A sample of 49 people is selected at random from those living in the city.

Find the probability that the mean income of the sample is less than $38,000.

Round your answer to 4 decimal places.

Please explain each step in detail.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that ,

mean = = $37500

standard deviation = = $1614

= / n = 1614 / 49 = 230.5714

P( < $38000) = P(( - ) / < (38000 - 37500) / 230.5714)

= P(z < 2.1685)

= 0.9849

Probability = 0.9849

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