Question
An F-test was conducted to compare the variances of lysozyme activity between captive zebras and those from Tanzania. The F-statistic was calculated as F(37, 8)
An F-test was conducted to compare the variances of lysozyme activity between captive zebras and those from Tanzania. The F-statistic was calculated as F(37, 8) = 0.515, with a corresponding p-value of 0.165. The null hypothesis, assuming equality of variances (F = 1), was tested against the alternative hypothesis that the true ratio of variances is not equal to 1. The 95% confidence interval for the ratio of variances was (0.134, 1.318), with a sample estimate of 0.515. As the confidence interval contains 1, there is no statistically significant evidence to reject the null hypothesis. Thus, we conclude that there is no significant difference in the variances of lysozyme activity between captive zebras and those from Tanzania. Although the confidence interval contains 1, indicating no significant deviation from equal variances, it is important to note that Welch's t-test, utilized in this analysis, does not rely on the assumption of equal variances. This suggests that the results can be interpreted reliably, as Welch's t-test is robust to unequal variances. Describe the results in a casual but meaningful fashion, as if you were discussing the study with your family over a meal
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