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Hypothesis test: variance

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Use a 0.05 significance level to test the claim that the heights of female supermodels vary less than the heights of women in general. The standard deviation of heights of the population of women is 2.5 in. Listed below are the heights (in inches) of randomly selected supermodels (Taylor, Harlow, Mulder, Goff, Evangelista, Auermann, Schiffer, MacPherson, Turlington, Hall, Crawford, Campbell, Herzigova, Seymour, Banks, Moss, Mazza, Hume).
71 71 70 69 69.5 70.5 71 72 70
70 69 69.5 69 70 70 66.5 70 71

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Solution Summary

This solution tests the null hypothesis that the population variance equals a given value vs. the alternative hypothesis that the population variance differs from the given value. All calculation details are show.

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Use a 0.05 significance level to test the claim that the heights of female supermodels vary less than the heights of women in general. The standard deviation of heights of the population of women is 2.5 in. Listed below are the heights (in inches) of randomly selected supermodels (Taylor, Harlow, Mulder, Goff, Evangelista, Auermann, Schiffer, MacPherson, Turlington, Hall, Crawford, Campbell, ...

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