1 larger than 41000 2 exactly 38000 3 larger than 38000 4 sm

1/ larger than $41,000.

2/ exactly $38,000..

3/ larger than $38,000.

4/ smaller than $38,000.

The average salary of all female workers at a large plant is $35,000. The average salary of all male workers at the plant is $41,000. Assuming that the total salary remains the same, if the number of female workers is increased, then the average salary at the plant must be

1/ larger than $41,000.

2/ exactly $38,000..

3/ larger than $38,000.

4/ smaller than $38,000.

Solution

Average salary of one group is lower, and their count is dropped, over all average of both groups will increase, But we dont know if that will be larger or smaller than 38000 unless we know original distribution. If originally number of female and number of male workers were equal, original total mean would have been 38000, and it will increase (option 3)

But since original mean is not know, nothing can be said about final one.

1/ larger than $41,000. 2/ exactly $38,000.. 3/ larger than $38,000. 4/ smaller than $38,000. The average salary of all female workers at a large plant is $35,0

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