Page 295 - Applied Statistics And Probability For Engineers

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8

Statistical Intervals

for a Single Sample

CHAPTER OUTLINE

8-1 INTRODUCTION 8-3.1 The t Distribution
8-2 CONFIDENCE INTERVAL ON THE 8-3.2 Development of the t Distribution
MEAN OF A NORMAL DISTRIBU- (CD Only)
TION, VARIANCE KNOWN 8-3.3 The t Confidence Interval on
8-2.1 Development of the Confidence 8-4 CONFIDENCE INTERVAL ON THE
Interval and its Basic Properties
VARIANCE AND STANDARD
8-2.2 Choice of Sample Size DEVIATION OF A NORMAL
POPULATION
8-2.3 One-Sided Confidence Bounds
8-5 A LARGE-SAMPLE CONFIDENCE
8-2.4 General Method to Derive a
Confidence Interval INTERVAL FOR A POPULATION
PROPORTION
8-2.5 A Large-Sample Confidence
Interval for 8-6 A PREDICTION INTERVAL FOR A
FUTURE OBSERVATION
8-2.6 Bootstrap Confidence Intervals
(CD Only) 8-7 TOLERANCE INTERVALS FOR A
NORMAL DISTRIBUTION
8-3 CONFIDENCE INTERVAL ON THE
MEAN OF A NORMAL DISTRIBU-
TION, VARIANCE UNKNOWN

LEARNING OBJECTIVES

After careful study of this chapter, you should be able to do the following:
1. Construct confidence intervals on the mean of a normal distribution, using either the normal
distribution or the t distribution method
2. Construct confidence intervals on the variance and standard deviation of a normal distribution
3. Construct confidence intervals on a population proportion
4. Construct prediction intervals for a future observation
5. Construct a tolerance interval for a normal population

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