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We conduct an analysis of variance to compare the mean nitrogen levels of two lakes. Random samples of water are taken from the two lakes
We conduct an analysis of variance to compare the mean nitrogen levels of two lakes. Random samples of water are taken from the two lakes and the nitrogen level of each sample is measured. Nitrogen levels are known to follow normal distributions with common standard deviation for the two lakes. The ANOVA test statistic is calculated to be 3.7 and the P-value is 0.48. Suppose we had instead compared the means using a pooled two-sample t test. The test statistic and P-value would be, respectively: 13.69 and 0.12 1.92 and 0.69 13.69 and 0.48 3.70 and 0.96 1.92 and 0.48
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