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You have probably heard that men are typically paid more than women for the same type of job. A researcher wanted to investigate this claim. Using information from a census, the researcher randomly selected $10$ occupations and looked at the median salary (in dollars) for men and women from each occupation. The median salaries per occupation and the differences (man-woman) are given in the table below. Each occupation is listed as a letter.

Which of the following represents a $90\%$ confidence interval for the average difference in the median prices per occupation between men and women?

A

$(6175.10, 16945)$

B

$(6976.10, 16144)$

C

$(-5737, 28857)$

D

$(-4003, 27123)$

E

$(8183, 20282)$

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