(Completely Randomized Design) Refer to the breakfast study in Example 11.4, in which the effect of nutrition on attention span was studied.

1. Select stat ➤ EDIT and enter the recorded attention spans for the three treatments into lists L1, L2, and L3, respectively. Use stat ➤ TESTS ➤ H: ANOVA( and type L1, L2, L3 after the command that you see on the screen. (You will find the list names just above the number keys; use the 2nd key to access them.) When you press enter, the results will appear as shown on the screen in Figure 11.23. Notice that there are two screens, because all of the results will not fit on a single screen (you have to scroll down).

Although the analysis of variance table is not shown on the screens, you can construct an ANOVA table using the sums of squares, mean squares, and degrees of freedom in Figure 11.23. The observed value of the test statistic F = 4.93258427 is shown in Figure 11.23

(a) followed by the p-value = 0.0273256499. With α = .05, there is a significant difference in the average attention spans depending on the type of breakfast.

Full Breakfast 10 15 12612 16271 No Breakfast Light Breakfast 8 7 14 1930