EXAMPLE 10 One-way ANOVA unable to find significance

finalexam

Use technology to perform a one-way ANOVA, using level of significance , to determine whether the population mean test grades for the three learning methods are all the same.

Solution

If we ignore the blocking factor course, Table 6 becomes Table 7.

Table 12.32: Table 7 Average final exam grade for the three learning methods without using the blocking factor course
Learning method
In-class Online Hybrid
75 70 69
80 77 82
72 69 72
73 60 66
88 82 85

695

Figure 29 shows acceptable normality, and the largest of the standard deviations in the ANOVA output in Figure 30 and Figure 31 is not larger than twice the smallest.

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Figure 12.29: FIGURE 29 Normal probability plots for the three learning methods.
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Figure 12.30: FIGURE 30 Minitab ANOVA output.
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Figure 12.31: FIGURE 31 SPSS ANOVA output.

Thus, we may proceed with the ANOVA. The hypotheses are

Reject if the .

The -value from Figure 30 is 0.497, which is not ≤0.05; therefore, we do not reject . There is insufficient evidence at level of significance that the population mean test performance differs among the three learning methods.