: Question: (a) And (b) We choose as a test statistic T, the sum of the chips (X 1  X 2 ) .The critical region corresponds to values T that are less than 5, so test is one-tailed. Each possible outcome consists of two numbers from 1 to 12. Thus, there are 12  12  144 points in the sample space. To decide which of these points to include in the critical region, we will assume that Null Hypothesis (H 0 ) is true and keep an eye on  . If null Hypothesis is true, the ranks of two chips should behave as a random sample of two ranks out of 12 possible. Therefore, each selection of two ra ...
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