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Mann Whitney test is a distribution free test which is used as an alternative to the Student's t-test for assessing that whether the two populations have the same median. The test statistic U is calculated from comparing each pair of the values, that is one from each group, scoring these pairs 1 or 0 depending upon whether the first group observation is higher or lower than the from the second group and summing the resulting scores over all the pairs. In the case of no ties then the following g case could be seen here n is the number of observations in the smaller group and W is the rank sum statistic associated with the Wilcoxon's rank sum test. The two tests are hence equivalent. Tables giving critical values of test statistic are available, and for the moderate and large sample sizes, a normal approximation can be taken in use.
5. Packages from a machine a normally distributed with a mean 200g and its standard deviation 2grams. Find the probability that a package from the machine weighs a) Less than
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An oil company thinks that there is a 60% chance that there is oil in the land they own. Before drilling they run a soil test. When there is oil in the ground, the soil test comes
Consider a decision faced by a cattle breeder. The breeder must decide how many cattle he should sell in the market each year and how many he should retain for breeding purposes. S
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