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10

Statistical Inference

for Two Samples

CHAPTER OUTLINE

10-1 INTRODUCTION 10-4 PAIRED t-TEST
10-2 INFERENCE FOR A DIFFERENCE IN 10-5 INFERENCES ON THE VARIANCES
MEANS OF TWO NORMAL DISTRI- OF TWO NORMAL POPULATIONS
BUTIONS, VARIANCES KNOWN
10-5.1 The F Distribution
10-2.1 Hypothesis Tests for a Difference 10-5.2 Development of the F
in Means, Variances Known
Distribution (CD Only)
10-2.2 Choice of Sample Size
10-5.3 Hypothesis Tests on the Ratio
10-2.3 Identifying Cause and Effect of Two Variances
10-2.4 Confidence Interval on a 10-5.4 -Error and Choice of Sample
Difference in Means, Variances Size
Known
10-5.5 Confidence Interval on the Ratio
10-3 INFERENCE FOR A DIFFERENCE of Two Variances
IN MEANS OF TWO NORMAL 10-6 INFERENCE ON TWO
DISTRIBUTIONS, VARIANCES POPULATION PROPORTIONS
UNKNOWN
10-6.1 Large-Sample Test for H 0 : p 1 p 2
10-3.1 Hypothesis Tests for a Difference
in Means, Variances Unknown 10-6.2 Small-Sample Test for H 0 : p 1
p 2 (CD Only)
10-3.2 More about the Equal Variance
Assumption (CD Only) 10-6.3 -Error and Choice of Sample Size
10-3.3 Choice of Sample Size 10-6.4 Confidence Interval for p 1 p 2
10-3.4 Confidence Interval on the 10-7 SUMMARY TABLE FOR INFERENCE
Difference in Means PROCEDURES FOR TWO SAMPLES

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

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