![]() ![]() Using a z table, you can obtain the corresponding p value test statistic for this z score, and the p value here should tell you what the chances are for someone in the class to score more than 75 marks in terms of probability. This turns your raw score into a standardized score (which can be used to calculate tail probabilities for hypothesis testing). Using the given information, the instructor can find the standard score using the z score calculation formula. In the beginning, this may seem like a tedious calculation, but the zscore test statistic makes it fairly easy. Now suppose the instructor is interested in knowing whether one of his best students who scored a 75 is among the top 10% of the scorers. Suppose you have the distribution of class grades for an exam that appears to be normal and it has a mean of 45. You can read more about p-values and how to find them with contingency tables here.
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