# 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.)