C H A P T E R 17 High performance – statistical inference for comparing population means and bivariate data Chapter objectives This chapter will help you to: ■ test hypotheses on the difference between two population means using independent samples and draw appropriate conclusions ■ carry out tests of hypotheses about the difference between two population means using paired data and draw appropriate conclusions ■ test differences between population means using analysis of variance analysis (ANOVA) and draw appropriate conclusions . | CHAPTER 17 High performance -statistical inference for comparing population means and bivariate data Chapter objectives This chapter will help you to test hypotheses on the difference between two population means using independent samples and draw appropriate conclusions carry out tests of hypotheses about the difference between two population means using paired data and draw appropriate conclusions test differences between population means using analysis of variance analysis ANOVA and draw appropriate conclusions 540 Quantitative methods for business Chapter 17 conduct hypothesis tests about population correlation coefficients and draw appropriate conclusions produce interval estimates using simple linear regression models perform contingency analysis and interpret the results use the technology test differences between sample means apply correlation and regression inference and contingency analysis in EXCEL MINITAB and SPSS become acquainted with the business use of contingency analysis In the previous chapter we looked at statistical inference in relation to univariate data estimating and testing single population parameters like the mean using single sample results. In this chapter we will consider statistical inference methods that enable us to compare means of two or more populations to test population correlation coefficients to make predictions from simple linear regression models and to test for association in qualitative data. Testing hypotheses about two population means In section of the previous chapter we looked at tests of the population mean based on a single sample mean. In this section we will consider tests designed to assess the difference between two population means. In businesses these tests are used to investigate whether for instance the introduction of a new logo improves sales. To use these tests you need to have a sample from each of the two populations. For the tests to be valid the samples must be random but they can be .