Q3CQQ Cola Weights Identify the value ... [FREE SOLUTION]

Chapter 12: Q3CQQ (page 566)

Cola Weights Identify the value of the test statistic in the display included with Exercise 1. In general, do larger test statistics result in larger P-values, smaller P-values, or P-values that are unrelated to the value of the test statistic

Expert verified

The analysis of variance test defined for the four samples is a right-tailed test.

Refer to Exercise 1 for the study to compare the mean weights of the four samples of cola using the analysis of variance method.

The tail of the test can be determined by observing the distribution of the statistic.

The statistic used in the analysis of variance test is the F-statistic following the F-distribution.

Criteria for identifying the tail of the test:

If the distribution of the statistic is symmetric, the test can be two-tailed or one-tailed (left-tailed or right-tailed), depending on the direction of the alternative hypothesis.

If the distribution of the statistic is asymmetric (skewed), the test can only be one-tailed. (It is a right-tailed test if the distribution is skewed to the right. It is a left-tailed test if the distribution is skewed to the left.)

Here, as the F-distribution is an asymmetric distribution that is skewed to the right, the analysis of variance test is a right-tailed test.

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