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Statistics for management and economics abbreviated (9e) part 2

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Nội dung chi tiết: Statistics for management and economics abbreviated (9e) part 2

Statistics for management and economics abbreviated (9e) part 2

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

Statistics for management and economics abbreviated (9e) part 2 2.3In ference about a Population Proportion12.4(Optional) Applications in Marketing: Market Segmen tat ionNielsen RatingsDATA Statistical techniques p

lay a vital role in helping advertisers determine how many Xib12-00* viewers watch the shows they sponsor. Although several companies sample televisio Statistics for management and economics abbreviated (9e) part 2

n viewers to determine what shows they watch, the best known is theA. c. Nielsen firm. The Nielsen ratings are based on a random sample of approximate

Statistics for management and economics abbreviated (9e) part 2

ly 5,coo of the 115 million households in the United States with at least one television (in 2010). A meter attached to the televisions in the selecte

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

Statistics for management and economics abbreviated (9e) part 2 night, from which Nielsen computes the rating and sponsors can determine the number of viewers and the potential value of any commercials.398I N ft R

í NThe results from Sunday, February 14, 2010 for the time slot 9 to 9:30 P.M. have been recorded using the folloz/ing codes:NetworkShowCodeABCỄxtreme Statistics for management and economics abbreviated (9e) part 2

Makeover: Home Edition1CBSUndercover Boss2FoxFamily Guy3NBCVancouver Winter Olympics4Television turned off0' watched some other channel5Source. tvbyt

Statistics for management and economics abbreviated (9e) part 2

henumbers.com February 15, 2010.NBC would like to use the data to estimate how many of the households were tuned to its program Vbncouw?/ Winter Olymp

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

Statistics for management and economics abbreviated (9e) part 2 n mean. I lowcvcr, the illustration we Ẫ chose is unrealistic because the techniques require US to use the population standard deviation Ơ, which, in

general, is unknown. 'Hie puqxjsc, then, of Chapters 10 and 11 was to set the pattern for the way in which we plan to present other statistical techni Statistics for management and economics abbreviated (9e) part 2

ques. In other words, we will begin by identifying die parameter to be estimated or tested. We will then specify the parameter’s estimator (each param

Statistics for management and economics abbreviated (9e) part 2

eter has an estimator chosen because of the characteristics we discussed at the beginning of Chapter 10) and its sampling distribution. Using simple m

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

Statistics for management and economics abbreviated (9e) part 2 ues.In Section 11.4, wc described the five problem objectives addressed in this book, and we laid out the order of presentation of the statistical met

hods. In this chapter, we will present techniques employed when the problem objective is to describe a population. When the data arc interval, the par Statistics for management and economics abbreviated (9e) part 2

ameters of interest arc the population mean /1 and the population variance a*. In Section 12.1, we describe how to make inferences about the populatio

Statistics for management and economics abbreviated (9e) part 2

n mean under the more realistic assumption that the population standard deviation is unknown. In Section 12.2, we continue to deal with interval data,

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

Statistics for management and economics abbreviated (9e) part 2 ly computation that makes sense is determining the proportion of times each value occurs. Section 12.3 discusses inference about the proportion p. In

Section 12.4, we present an important application in marketing: market segmentation.Keller’s website Appendix Applications in Accounting: Auditing des Statistics for management and economics abbreviated (9e) part 2

cribes how the statistical techniques introduced in this chapter arc used in auditing.12.1 /inference about a Population Mean When the Standard ----7

Statistics for management and economics abbreviated (9e) part 2

Deviation Is UnknownIn Sections 10.2 and 11.2, we demonstrated how to estimate and test the population mean when the population standard deviation is

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

Statistics for management and economics abbreviated (9e) part 2 as

lation standard deviation. Consequently, the previous sampling distribution cannot be used. Instead, we substitute the sample standard deviation f in Statistics for management and economics abbreviated (9e) part 2

place of the unknown population standard deviation Ơ. 'lire result is called a /-statistic because that is what mathematician William s. Gosset called

Statistics for management and economics abbreviated (9e) part 2

it. In 1908, Gosset showed that the /-statistic defined asf/Vnis Student / distributed when the sampled population is normal. (Gosset published his f

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

Statistics for management and economics abbreviated (9e) part 2 ctly the same logic used to develop the test statistic in Section 11.2 and the confidence interval estimator in Section 10.2, we derive the following

inferential methods.^’'Icst Statistic for p When Ơ Is UnknownWhen the population standard deviation is unknown and the population is normal, the test Statistics for management and economics abbreviated (9e) part 2

statistic for testing hypotheses about p is

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

* IINFERENCE ABOUTA POPULATION12.1In ference about a Population Mean When the Standard Deviation Is Unknown12.2Inference about a Population Variance12

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