The variability in ages is measured by standard deviation. Thestandard deviation

Question

The variability in ages is measured by standard deviation. Thestandard deviation of the ages of a sample of 16 executives fromthe northern states was 15.2 years; while the standard deviation ofthe ages of a sample of 26 executives from the southern states was12.1 years. At a = 0.05, test to see if there is an evidencethat the variability of the ages of the northern executives exceedsthat of the southern executives. The variability in ages is measured by standard deviation. Thestandard deviation of the ages of a sample of 16 executives fromthe northern states was 15.2 years; while the standard deviation ofthe ages of a sample of 26 executives from the southern states was12.1 years. At a = 0.05, test to see if there is an evidencethat the variability of the ages of the northern executives exceedsthat of the southern executives.

Explanation / Answer

Test homogeneity of variance using Fmax: Ho: 12 =22 H1: 12 not=22 Fmax = largest2 /smallest2 = 15.22 /12.12 = 1.578 df = n1 - 1, n2 - 1 = 15, 25 Fcrit(15,25) = 2.11 (actually from df1 = 15,df2 = 24) Since Fmax

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