Scenario 3: On an examination given to students at a large number of different schools, the mean score was 74.5 and the standard deviation was 8.0. At one particular school where 28 students took the examination, the mean score was 75.9. At 5% level of significance, test if there is a significant difference between the sample average score and the previous average score. Test the hypothesis in the given situation. Follow the steps in hypothesis testing and draw a conclusion. Write the null and alternative hypothesis in sentence form and in symbols. Shade the rejection region in the normal curve. Write the conclusion in statement form. 3

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