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A researcher believes that the average show size in women has continued to increase in recent years. Using random sampling, the researcher collected shoe size
A researcher believes that the average show size in women has continued to increase in recent years. Using random sampling, the researcher collected shoe size information from women born in 2000 and women born in 1980 to test this hypothesis. Since the two samples are independent, the F test must be performed. To compare the means, would it be appropriate to use a test that assumes equal variances? F-Test Two-Sample for Variances 2000 women 1980 women Mean 8.58 8.21 Variance 1.58 0.38 Observations 12 12 df 11 11 F 4.1182 P(F<=f) one-tail 0.0135 F Critical one-tail 2.8179 A. Yes, because the sample statistics (the F test) show that the variances are equal at = .05. B. No, because the sample statistics (the F test) show that the variances are unequal at = .05. C. No, because a z test should be used instead of a t test. D. No, because the F test is not the proper test to compare two variances
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