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Green versus yellow. Using the Minitab output in Figure 29.4, verify the values for the sample contrast  2 and its standard error given in Example 29.7. Give a 95% confidence interval for the population contrast L2. Carry out a test of the hypothesis H0: L2= 0 against the two-sided alternative. Be sure to state your conclusions in the setting of the study.

Example 29.7:

Figure 29.4 displays the Minitab ANOVA output for the study on attracting cereal leaf beetles. The pooled estimate of σ  is sp = 5.672, and the number of degrees of freedom for error is 20. Minitab does not offer contrasts, so we must use a calculator. The three sample contrasts and their standard errors are

                                          

FIGURE 29.4:

                 

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