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EXPLORATION 6.1A:Haircut Prices143Haircut PricesDo women pay more than men for haircuts? Is this a statistical tendency or always true? Byhow much do women spend more than men, on average? How much do haircut prices varywithin a sex as well as between sexes?To investigate these questions a professor asked students in her class to report the cost oftheir most recent haircut, along with their sex.1.Which would you consider to be the explanatory variable and which the response? Alsoclassify the type (categorical or quantitative) for each variable.Explanatory:Type:Response:Type:2.Is this an experiment or an observational study? Explain briefly.3.Did the professor who collected the data make use of random sampling, random assign-ment, both, or neither?The following “parallel”dotplots(using the same scale along the horizontal axis) revealthe sample distributions of haircut prices for each sex:1501251007550250FemaleMaleHaircut cost (in dollars)Sex4.Compare and contrast the distributions of haircut prices between men and women in thisclass. (Hint:As you learned in the Preliminaries, comment on center, variability, shape,and unusual observations. You should give enough detail that someone reading your com-ments could re-create the overall pattern of the graphs from your description. Also be sureto relate your comments to the context.)5.Further explore the data.a.Explain why the right skewness of these distributions makes sense in this context.

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Term
Fall
Professor
Albritton