MATH 1342

                                                    Elementary Statistical Methods

 

The textbooks for 2004-2005 are: (1)  Elementary Statistics: A Step by Step Approach by Allan G. Bluman (McGraw Hill, 2004, 5th Edition).  (2) Excel Manual by V. Koehler and R. Goffinet (McGraw Hill, 2004).  The following topics from the main text are to be taught:

 

 

Ch. 1               Introduction to Statistics

 

Ch. 2               Graphs in Descriptive Statistics

2.2                   Organizing Data

2.3                   Frequency Histograms

2.4                   Stem and Leaf Plots

 

Ch. 3               Numerical Methods in Descriptive Statistics

3.2                   Measures of Central Tendency

3.3                   Measures of Variation

3.4                   Measures of Position and the Boxplot

 

Ch. 4               Probability and Counting Rules

4.2                   Sample Spaces and Probability

4.3                   The Additive Law

4.4                   The Multiplicative Law and Conditional Probability

4.5                   Counting Rules

 

Ch. 5               Discrete Probability Distributions

5.2                   Probability Distributions

5.3                   Mean, Variance, Expectation

5.4                   The Binomial Distribution

 

Ch. 6               The Normal Distribution

6.2                   Properties of the Normal Distribution

6.3                   The Standard Normal Distribution

6.4                   Applications of the Normal Distribution

6.5                   The Central Limit Theorem

6.6                   The Normal Approximation to the Binomial Distribution

 

Ch. 7               Confidence Intervals

7.2                   Confidence Intervals for the Mean (σ Known or n š 30)

7.3                   Confidence Intervals for the Mean (σ Unknown and n — 30)

7.4                   Confidence Intervals for Proportions

7.5                   Confidence Intervals for Variances and Standard Deviations

 

Ch. 8               Hypothesis Testing

8.2                   Steps in Hypothesis Testing - Traditional Method

8.3                   z Test for a Mean

8.4                   t Test for a Mean

8.5                   z Test for a Proportion

8.6                   χ2 Test for a Variance or Standard Deviation

 

Ch. 9               Testing the Difference Between Two Means

9.2                   Testing the Difference Between Two Means: Large Samples

9.4                   Testing the Difference Between Two Means: Small Independent Samples

9.6                   Testing the Difference Between Two Proportions

 

Ch. 10             Correlation and Regression

10.2                 Scatter Plots

10.3                 Correlation

10.4                 Linear Regression

10.5                 Coefficient of Determination

 

 

Note:               Computer instruction and exercises will be assigned to follow the Excel Manual, Chapters 1-9.

 

 

 

 

 

 

 

                                                                                                                                   December 2004