The mean salary of all female workers is $35,000. The mean salary of all male workers is $41,000. What must be true about the mean salary of all workers? (a) It must be $38,000. (b) It must be larger...

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The mean salary of all female workers is $35,000. The mean salary of all male workers is $41,000. What must be true about the mean salary of all workers?


(a) It must be $38,000.


(b) It must be larger than the median salary.


(c) It could be any number between $35,000 and $41,000.


(d) It must be larger than $38,000.


(e) It cannot be larger than $40,000.




Answered Same DayDec 25, 2021

Answer To: The mean salary of all female workers is $35,000. The mean salary of all male workers is $41,000....

Robert answered on Dec 25 2021
131 Votes
Suppose the proportion of female is p among all workers in given data.
Then, using the formula for
weighted mean, overall mean must be: p ∗ 35000 +
(1 − p) ∗ 41000 for 0 < p < 1, i.e, the overall mean is between 35000 and 41000
( 3 c) It could be any number between $35,000 and $41,000.
\ZThank...
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