Lehigh University Spring 01 Math 12
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SYLLABUS -- MATH 12 \\
Spring 2001 Lehigh University
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Text: Statistical Reasoning and Methods by R.A.\ Johnson and K-W.\ Tsui
February 16 version -
There might be small changes and additional computer problems during
the semester
\begin{tabular}{lll}
\underline{Section} & \underline{Topic} &
\underline{Homework Problems} \\
& & \\
Chapter 1 & About Statistics & \\
1.8 & Review (all sections) & \# 2,6,18, (1,4,7,11) \\
& & \\
Chapter 2 & & \\
2.1 & Introduction & \\
2.2 & Variables and Data & \\
2.3 & Describing Data & \# 6,10,22, (1,3,9,20,24,28) \\
2.4 & Numerical Measures of Center & \# 2,24,26, (5,6,9,16,19) \\
2.5 & Numerical Measures of Variation &
\# 2,16,22,24, (5,21,29) \\
2.6 & {\sf Omit} & \\
& & \\
Chapter 3 & & \\
3.1 & Introduction & \\
3.2 & Bivariate Categorical Data & \# 6,10, (5,11) \\
3.3 & {\sf Omit} & \\
3.4 & Bivariate Measurement Data & \\
3.5 & The Correlation Coefficient & \# 2,8,14, (1,7,9,11,13) \\
3.6 & {\sf Omit} & \\
& & \\
Chapter 4 & & \\
4.1 & Introduction & \\
4.2 & Probability of an Event & \# 2,4,6,8,10,14, (1,3,15,17) \\
4.3 & Laws of Probability & \# 2,10,12,16, (3,9,13,18) \\
4.4 & Conditional Probability & \\
4.5 & Independence & \# 2,4,8,12,22, (1,3,7,11,17,18) \\
4.6 & Combinations & \# 2,4,8,10, (1,3,7,9) \\
& & \\
Chapter 5 & & \\
5.1 & Introduction & \\
5.2 & Random Variables & \# 2,4,8,14,18, (3,7,10,15,21,23) \\
5.3 & Expectations and Standard Deviations & \# 2,4,10,12,14, (3,13) \\
5.4 & Bernoulli Trials & \# 2,6,12,14, (8,9,11) \\
5.5 & Binomial Distribution & \# 4,10,16,20, (3,7,19) \\
5.6 & {\sf Omit} & \\
\end{tabular}
\begin{tabular}{lll}
\underline{Section} & \underline{Topic} &
\underline{Homework Problems} \\
& & \\
Chapter 6 & & \\
6.1 & Introduction & \\
6.2 & Continuous Random Variables & \# 2,4, (3,7) \\
6.3 & Normal Distributions & \\
6.4 & Standard Normal Distribution & \# 2,4,6,8,10, (1,7,9,11) \\
6.5 & Probability Calculations & \# 2,4,6,8, (1,5,7) \\
6.6 & Normal Approximation to Binomial & \# 4,8,14, (3,9) \\
6.7 & {\sf Omit} & \\
& & \\
Chapter 7 & & \\
7.1 & Introduction & \\
7.2 & Sampling Distributions & \# 2,6,10, (1,3,5) \\
7.3 & Distribution of the Sample Mean & \# 2,8,14, (3,4,15,19) \\
& & \\
Chapter 8 & & \\
8.1 & Introduction & \\
8.2 & Point Estimation & \# 4,6,10,12, (5,9) \\
8.3 & Confidence Intervals & \# 2,6,8,14, (4,5,7,15) \\
8.4 & Hypothesis Tests & \# 2,4,6,8,14, (1,3,5,15) \\
& & \\
Chapter 9 & & \\
9.1 & Introduction & \\
9.2 & $t$ Distribution & \# 2,4,6, (3,5) \\
9.3 & Inference About the Mean & \# 2,4,6,10,18, (1,3,11,19) \\
9.4 & Tests and Confidence Intervals & \# 2,4, (1,5) \\
9.5 & {\sf Omit} & \\
& & \\
Chapter 10 & {\sf Omit} & \\
& & \\
Chapter 11 & & \\
11.1 & Introduction & \\
11.2 & Inferences about a Proportion & \# 2,8,10,12,18, (3,14) \\
11.3 & {\sf Omit} & \\
11.4 & Chi-Squared Test of Homogeneity & \# 2,4,10 \\
11.5 & Chi-squared Test of Independence & \# 2,6 \\
& & \\
Chapter 12 & & \\
12.1 & Introduction & \\
12.2 & A Model for Regression & \# 2,6,10,12, (3,7,11) \\
12.3 & Method of Least Squares & \# 2,4,8, (1,7) \\
12.4-5 & {\sf Omit} & \\
\end{tabular}
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