I researched for hours but cannot find the direction for the right statistical test to use. Here is the situation for Population A and B:
When plotting this frequency distribution, it looks like this:
My observations to this point:
 Shape: Multimodal
 Data type: Discrete
Additional information:
 N=3 million people
 n(A)=47,800 and n(B)=37,900
 Typically amounts are discrete such as: $1, $5, $10, $20 dollars
The mean of A: $7.11 and B:$7.49
The standard deviation of both is the same $8.00
The goal is to compare if the means of the two populations (A and B) differ. This means we need the right statistical test and that is the issue I have. I researched days and cannot find a solution which includes the complexities in my situation.
What is the right test for this? Also, is it recommended to rearrange the bins where exact amounts ($5,$10,$20) are put in bins with a range to avoid the mix of bins with range and bins without range?
When plotting this frequency distribution, it looks like this:
My observations to this point:
 Shape: Multimodal
 Data type: Discrete
Additional information:
 N=3 million people
 n(A)=47,800 and n(B)=37,900
 Typically amounts are discrete such as: $1, $5, $10, $20 dollars
The mean of A: $7.11 and B:$7.49
The standard deviation of both is the same $8.00
The goal is to compare if the means of the two populations (A and B) differ. This means we need the right statistical test and that is the issue I have. I researched days and cannot find a solution which includes the complexities in my situation.
What is the right test for this? Also, is it recommended to rearrange the bins where exact amounts ($5,$10,$20) are put in bins with a range to avoid the mix of bins with range and bins without range?
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