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Mann Whitney U Test

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Prob. and Stats

Difficulty: 1 | Problem written by Junaid Ahmed
Problem reported in interviews at

Amazon
Apple

A nonparametric test is suitable when evaluating two separate samples which are not normally distributed and are small. 

A U Statistic is the result of conducting a Mann-Whitney U Test. To find the U statistic for small samples, use the following equation:

\(M = R - \frac{n(n+1)}{2}\)

R is the sum of ranks in the sample and n is the number of data points.

The Mann-Whitney U test, unlike the independent-samples t-test, makes it easy to share different results about your data depending on the distribution remarks you make. 

Write a Python function to determine the Mann-Whitney U test by using the above formula and different input sets.

 

Sample Input:
<class 'int'>
n: 1
<class 'int'>
R: 6

Expected Output:
<class 'float'>
5.0

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numpy has been already imported as np (import numpy as np)