1. Math
2. Statistics And Probability
3. the average salary for a certain profession is 69000 assume...

# Question: the average salary for a certain profession is 69000 assume...

###### Question details

The average salary for a certain profession is$69,000. Assume that the standard deviation of such salaries is$ 39,500. Consider a random sample of 68 people in this profession and let x over bar x represent the mean salary for the sample.

 a. What is mu Subscript x over bar μx​ ?

mu Subscript x over bar μx =________

 b. What is sigma Subscript x over bar σx​ ?

sigma Subscript x over bar σx =__________ ​(Round to two decimal places as​ needed.)

 c. Describe the shape of the sampling distribution of x over bar x.

A. The shape is that of a uniform distribution.

B. The shape is that of a binomial distribution.

C. The shape is that of a poisson distribution.

D. The shape is that of a normal distribution.

 d. Find the​ z-score for the value x over bar x= 59,500.

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

 e. Find Px>59,500.

Px>59,500=_______​(Round to three decimal places as​ needed.)

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