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Direct comparison with any non parametric analysis

A questionnaire has 10 questions that require a ranking of 1 to 5, 5 being the highest value. The next 10 question requires ranking from 1 to 10, 10 being the highest value. Is it possible to make a direct comparison with any non parametric analysis? Discuss.

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## Q : Observe the results

Suppose that two fair (i.e., the probability of both Heads and Tails is 0.5) coins are tossed, and we observe the results. There are 4 possibilities: {H, H}, {H, T}, {T, H}, {T, T}. Assume a H wins us 1$, whereas a T no dollars.