An union representative studies the weekly income for a senior level worker position in an automobile industry. It is obtained that a 95% confidence interval for the mean weekly income of all employees of the same senior position is ($1371, $1509). Which one of the following interpretations of this interval is correct?

A.

We conclude that 95% of all employees from the this position have income between $1371 and $1509 per week.

B.

We can 95% confident that the sample mean is between $1371 and $1509.

C.

If random samples of nine employees were repeatedly selected from the population of all employees from the this position, then 95% of the time the sample mean income would be between $1371 and $1509.

D.

If random samples of nine employees were repeatedly selected from the population of all employees from the this position, then 95% of the time the population mean income would be between $1371 and $1509.