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The average salary for a certain profession is $85, 500. Assume that the standar

ID: 3255707 • Letter: T

Question

The average salary for a certain profession is $85, 500. Assume that the standard deviation of such salaries is $36,000. Consider a random sample of 61 people in this profession and let x represent the mean salary for the sample. Click the icon to view the table of normal curve areas. a. What is mu^- _x ? mu^- _x = b. What is sigma^- _x ? sigma^- _x = (Round to two decimal places as needed.) c. Describe the shape of the sampling distribution of x. A. The shape is that of a uniform distribution. B. The shape is that of a poisson distribution. C. The shape is that of a normal distribution.

Explanation / Answer

a)

here mean salary for the sample =85500

b)

std error of mean =std deviation/(n)1/2 =36000/(61)1/2 =4609.33

c)

option C is correct

the shape is that of a normal distribution.

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