ph17_Levine_Stat4Mgr8GEwm 2
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ph17_Levine_Stat4Mgr8GEwm 2
Two-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at Arlingt ph17_Levine_Stat4Mgr8GEwm 2tons?CONSIDER THIS: Do People Really Do This?10.2Comparing the Means of Two Related Populations10.3Comparing the Proportions of Two Independent Populations10.4F Test for the Ratio of Two Variances10.5 Effect Size (onfine)To what extent does the location of products in a store affect sales? Al Arling ph17_Levine_Stat4Mgr8GEwm 2tons, a general merchandiser that competes with discount and wholesale club retailers, management has been considering this question as part of a geneph17_Levine_Stat4Mgr8GEwm 2
ral review. Seeking to enhance revenues.managers have decided to create a new sales area at the front of the each Arlingtons store, near the checkout Two-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at Arlingt ph17_Levine_Stat4Mgr8GEwm 2e that the area would boost sales.While some manufacturers refuse to pay such placement fees. Arlingtons has found a willing partner in Pierrsdhn Technologies. Pierrsdhn wants to introduce VLABGo, their new mobile streaming player, and is willing to piiy a placement fee to be featured at the front o ph17_Levine_Stat4Mgr8GEwm 2f each Ariingtons store. However. Picrrsohn management wants reassurance that the front of the store will be worth the placement fee. As the retail opph17_Levine_Stat4Mgr8GEwm 2
erations chief at Arlingtons, you have been asked to negotiate with Pierrscihn. You propose a test that will involve 20 Arlington* locations, all withTwo-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at Arlingt ph17_Levine_Stat4Mgr8GEwm 2similar items in the mobile electronics aisle in those Arlington* stores. For the other 10 stores, you will place the VLABGo players in a special area at the front of the store.At the end of the one month test period, the sales of VLABGo players from the two store samples will be recorded and compar ph17_Levine_Stat4Mgr8GEwm 2ed. You wonder how you could determine whether the sales in the in-aisle stores are different from the sales in the stores where the VLABGo players apph17_Levine_Stat4Mgr8GEwm 2
pears in the special front area. You also would like to decide if the variability in sales from store to store is different for the two types of salesTwo-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at Arlingt ph17_Levine_Stat4Mgr8GEwm 2Pierrsdhn. What should you do?USING STATISTICS: Differing Means for Selling..., RevisitedEXCEL GUIDEOBJECTIVESCompare the means of two independent populationsCompare the means of two related populationsCompare the proportions of two independent populationsCompare the variances of two independent pop ph17_Levine_Stat4Mgr8GEwm 2ulations331332 CHAPTER 10 I Two-Sample TestsIn Chapter 9, you learned several hypothesis-testing procedures commonly used to test a single sample of dph17_Levine_Stat4Mgr8GEwm 2
ata selected from a single population. In this chapter, you leam how to extend hypothesis testing to two-sample tests that compare statistics from samTwo-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at Arlingt ph17_Levine_Stat4Mgr8GEwm 2ocation (one population) different from the mean VLABGo player monthly sales al the in-aisle location (a second population)?’10.1 Comparing the Means of Two Independent PopulationsIn Sections 8.1 and 9.1. you learned that in almost all cases, you would not know the standard deviation of the populati ph17_Levine_Stat4Mgr8GEwm 2on under study. Likewise, when you take a random sample from each of two independent populations, you almost always do not know the standard deviationph17_Levine_Stat4Mgr8GEwm 2
of either population, in addition, when using a two-sample test that compares the means of samples selected from two populations, you must establish Two-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at Arlingt ph17_Levine_Stat4Mgr8GEwm 2tion are different depends on whether the assumption holds or not.studentTIPWhichever population is defined as population 1 in the null and alternative hypotheses must be defined as population1in Equation (10.1). Whichever population is defined as population2in the null and alternative hypotheses mu ph17_Levine_Stat4Mgr8GEwm 2st be defined as population2 in Equation (10.1).'When the two sample sizes arc equal (Í.C.. »1 = *11). the equation for the pooled variance can be simph17_Levine_Stat4Mgr8GEwm 2
plified toPooled-Variance t Test for the DifferenceBetween Two MeansIf you assume that the random samples are independently selected from two populatiTwo-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at Arlingt ph17_Levine_Stat4Mgr8GEwm 2ignificant difference between the means. If the poptilationi do not differ greatly from a normal distribution, you can still use the pooled-variance t test, especially if the sample sizes are large enough (typically S30 for each sample).Using subscripts to distinguish between the population mean of ph17_Levine_Stat4Mgr8GEwm 2the first population. Hl, and the population mean of the second population. /Zj, the null hypothesis of no difference in the means of two independentph17_Levine_Stat4Mgr8GEwm 2
populations can be staled asMl = Mi Of Ml ■ M2 = 0and the alternative hypothesis, that the means are different, can be stated asTwo-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at ArlingtTwo-Sample Tests10.1Comparing the Means of Two Independent Populations’ USING STATISTICSDiffering Means for Selling Streaming Media Players at ArlingtGọi ngay
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