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The average salary for a certain profession is $66 comma 00066,000. Assume that the standard deviation of such salaries is $30 comma 50030,500. Consider a

The average salary for a certain profession is

$66 comma 00066,000.

Assume that the standard deviation of such salaries is

$30 comma 50030,500.

Consider a random sample of

6262

people in this profession and let

x overbarx

represent the mean salary for the sample.

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Part 1

a.

What is

mu Subscript x overbarx?

mu Subscript x overbarxequals=66,00066,000

Part 2

b.

What is

sigma Subscript x overbarx?

sigma Subscript x overbarxequals=3873.503873.50

(Round to two decimal places as needed.)

Part 3

c.

Describe the shape of the sampling distribution of

x overbarx.

A.

The shape is that of a normal distribution.

Your answer is correct.

B.

The shape is that of a binomial distribution.

C.

The shape is that of a uniform distribution.

D.

The shape is that of a poisson distribution.

Part 4

d.

Find the z-score for the value

x overbarxequals=58 comma 50058,500.

zequals=enter your response here

(Round to two decimal places as needed.)

just need help with part d

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