Advanced Statistics Demystified
Offering exercises at the end of each chapter as well as two final exams, this self-teaching guide provides an effective, anxiety-soothing, and totally painless way to learn advanced statistics.
TABLE OF CONTENTS Advanced Statistics Demystified
Introduction: A Review of Inferences Based on a Single Sample
I-1 Large Sample ( n > 30) Inferences About a Single Mean
An introductory statistics course usually covers an introduction to estimation and tests of hypotheses about one parameter based on one sample. This is the background that the reader is assumed to have. This chapter will give a review of the introduction to inference about a single parameter. We shall review inferences about population mean, ? (large n), ? (small n), population proportion, p, and population standard deviation, ?.
The five books contained in the bibliography contain additional discussion of the review material contained in this chapter as well as material relating to the integration of Excel and MINITAB with statistical concepts.
"Large sample," when making inferences about a single population mean, is taken to mean that the sample size n > 30. The sample mean, x, is a point estimate or a single numerical estimate for the population mean, ?. The interval estimate is a better estimate because it gives the reliability associated with the estimate. A (1 - ?) large sample confidence interval estimate for ? is ( x z ?/ 2( s / 
)).
A hypothesis test for ? is of the following form: the null hypothesis H 0: ? = ? 0 versus one of the three research hypotheses: H a: ? < ? 0, ? > ? 0,...
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