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10

Statistical Inference

for Two Samples

CHAPTER OUTLINE

LEARNING OBJECTIVES

After careful study of this chapter, you should be able to do the following:

1. Structure comparative experiments involving two samples as hypothesis tests


2. Test hypotheses and construct confidence intervals on the difference in means of two normal
   distributions

10-1 INTRODUCTION

10-2 INFERENCE FOR A DIFFERENCE IN

MEANS OF TWO NORMAL DISTRI-

BUTIONS, VARIANCES KNOWN

10-2.1 Hypothesis Tests for a Difference

in Means, Variances Known

10-2.2 Choice of Sample Size

10-2.3 Identifying Cause and Effect

10-2.4 Confidence Interval on a

Difference in Means, Variances

Known

10-3 INFERENCE FOR A DIFFERENCE

IN MEANS OF TWO NORMAL

DISTRIBUTIONS, VARIANCES

UNKNOWN

10-3.1Hypothesis Tests for a Difference

in Means, Variances Unknown

10-3.2 More about the Equal Variance

Assumption (CD Only)

10-3.3 Choice of Sample Size

10-3.4 Confidence Interval on the

Difference in Means

10-4 PAIRED t-TEST

10-5 INFERENCES ON THE VARIANCES

OF TWO NORMAL POPULATIONS

10-5.1 The FDistribution

10-5.2 Development of the F

Distribution (CD Only)

10-5.3 Hypothesis Tests on the Ratio

of Two Variances

10-5.4-Error and Choice of Sample

Size

10-5.5 Confidence Interval on the Ratio

of Two Variances

10-6 INFERENCE ON TWO

POPULATION PROPORTIONS

10-6.1 Large-Sample Test for H 0 : p 1  p 2

10-6.2 Small-Sample Test for H 0 : p 1 

p 2 (CD Only)

10-6.3-Error and Choice of Sample Size

10-6.4 Confidence Interval for p 1 p 2

10-7 SUMMARY TABLE FOR INFERENCE

PROCEDURES FOR TWO SAMPLES

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