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In: Statistics and Probability

You are asked to investigate the impact of diabetes on elementary school students’ academic performance. You...

You are asked to investigate the impact of diabetes on elementary school students’ academic performance. You decide to test whether the mean standardized test performance of students with diabetes is worse than the test performance of the school as a whole. The school has 235 students and the average test score for the school is set at 100 and has a standard deviation of 25. You are given data from 10 diabetic students who have an average score of 80. Please use a significance of 0.01.

a. Identify the assumed sample distribution, the formula for the test statistic, the significance level, the test distribution, and the null & alternative hypotheses

b. Calculate and report the test statistic, the input values for the test statistic, and the p value that results from the test. Also calculate the statistical power.

c. Decide whether you will reject or fail to reject the null hypothesis. Interpret that decision in the context of the problem. Evaluate the statistical power.

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Expert Solution

orchestra answered 2 years ago
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