STAT 2000 Final: Inference of Correlation Example.pdf

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A sample of 24 breakfast cereals is selected and the amount of sugar and the amount of sodium per serving (both measured in grams) are recorded. The correlation between sugar and sodium content for these cereals is calculated to be -0. 386. H0: r = 0 vs. ha: r < 0. H0: r = 0 vs. ha: r > 0. There is sufficient evidence that there exists a negative correlation between the amount of sugar and the amount of sodium in breakfast cereals. There is insufficient evidence that there does not exist a negative correlation between the amount of sugar and the amount of sodium in breakfast cereals. There is insufficient evidence that there exists a negative correlation between the amount of sugar and the amount of sodium in breakfast cereals. There is sufficient evidence that there does not exist a negative correlation between the amount of sugar and the amount of sodium in breakfast cereals.

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