Suppose that you theorize that the average ages of White Oaks, Quercus alba, in

Question

Suppose that you theorize that the average ages of White Oaks, Quercus alba, in the following three locations. Site 1 Lower peninsula, Ml, ear Lake Michigan Site 2 Upper peninsula, MI, near Lake Superior and Site 3 Lower peninsula, Ml, near Saginaw Bay (are not all the same). To test this theory, you take 3 simple random samples of 35 trees from each site, and record the ages of each White Oak in each sample. Histogram of Age Site 1 Histogram of Age Site 2 Histogram of Age Site E 4 Box Plot of Comp of Ag Site 3 8 8 8 8 8 8 8 8 8 8 2 2 2 2 2 8 2 2 2 Site 2 0-0 Normal Plot of Age(Site 3 Q-o Normal Plotof Age (site o-Q llormal Plot of Age Site 2 Site 1 2.5 35 05 25 25 -2.5 -3.5 ZValue ZValu ANOVA S Total Sample Size 05 107.84 Grand Mean 45.44 Pooled Std Dev Pooled Variance 2064.60 Number of Samples 95.00% Confidence Level ANOVA Sample Stats Site Site Site

Explanation / Answer

a.) H0: µ1 = µ2 = µ3; Ha: at least two of the means differ

   Because the question says "are all not the same"

b.) Independence

Equal Standard Deviations

X-bar Normally distributed for each group

c.) p-value = 0.2241

d.) p-value > 0.05. Hence, we can not reject the null hypothesis.

So, there is insufficient evidence to at = 0.05 significance level to conclude that the mean age of the white oak tress differ between at least two sites

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