The average salary for a certain profession is $78,000. Assume that the standard deviation of such...

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The average salary for a certain profession is $78,000. Assume that the standard deviation of such...

The average salary for a certain profession is $78,000. Assume that the standard deviation of such salaries is 32,000.Consider a random sample of 68 people in this profession and let x over bar x represent the mean salary for the sample.

d.	Find the z-score for the value x overbar x=69,500.

z=_________(Round to two decimal places as needed.)

math Statistics-And-Probability

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Answer 1

Answer #1

Note that sample mean X follows a Normal distribution with Mean μ 78000 Standard deviation σ/Vn =3880.57 Note that z: (x-μ)/(o/Vn) -(x-78000)/388057 --( When x-69500, from (Eq.1) , z =-2.19 Ea.1) follows standard Normal.

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Answer 2

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