Question

1. The standard deviation of the ages of a sample of 16 executives from the northern states was 8.2 years; while the standard deviation of the ages of a sample of 25 executives from the southern states was 12.8 years. At α = 0.1, test to see if there is any difference in the standard deviations of the ages of all the northern and southern executives.

Answer 1

n = 16 5 = 8. 2 G2 = 25 Se = 12.8 ,x=0.1 Hypothesis: Ho: 6, G - H: 6, 6q Test statistic: F = 5,2 = -0.41 (8.2)2 (12.872 67.24 163.84 fooled we have test. Hence I EL given a = 0.10 and this are get rejection region 0.437 oc F > 2.108 is two as - . F Jouet = 0.437 Here .: we w get reject F = 0.41 to Conclusion: are are rejecting Ho hence at 0.01 Jero A significance there is sufficient evidence to say that there is any difference in Gandard deviations of ages of all the nocthem and scritteen executives.

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