The document provides instructions for performing the Mann-Whitney U test and the Chi-squared test. The Mann-Whitney U test can be used to compare two independent groups when the dependent variable is either ordinal or continuous. It involves ranking all observations from both groups together and comparing the sums of the ranks from each group. The Chi-squared test determines if there is a significant association between two categorical variables. It involves calculating expected frequencies and comparing them to observed frequencies using a Chi-squared distribution. Examples are given for performing both tests and interpreting their results.
21. The Data. 13 4.0 43.6 1.0 25 20 Sandstone 25 15 Limestone 25 58 Granite 25 7 Chalk (O-E)squared E Expected frequency (e) Observed Frequency O Rock type
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