This syllabus will be updated as the semester progresses.
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The chapter and section numbers listed under "text" refer to John Freund's Mathematical Statistics with Applications by Miller and Miller. Homework problems listed in bold face should be handed in.
Link for a normal probability calculator.
Link for a chisquare probability calculator. (Click on "Utilities," then on "Statistical Tables Calculator," then on "chisquare to P.")
Date  Topics  Text  Homework  
1  9/2  Probability review: Random variables; expectation; means, variances, covariances; sums of r.v.'s; moment generating functions 
Chapter 3, 3.2, 3.3, 3.4 Chapter 4, 4.2, 4.3, 4.5, 4.7 
Due 9/9 3.13, 3.22, 3.32, 3.33, 3.50, 3.51, 3.74(a), 3.75(a), 4.7, 4.19, 4.23, 4.33, 4.35, , 4.48, 4.49 Solutions to Problem Set 1 
2  9/8 (Tuesday!)  Multivariate random variables Expectation 
Chapters 3 and 4  Due 9/16 7.1, 7.5, 7.16, 7.17, 7.20(b), 7.29, 7.30, 7.31, 7.34, 7.36, 8.64 Solutions to Problem Set 2 
3  9/9  Moment generating functions Finding the density of Z=u(X,Y) or Z=u(X) 
Chapter 7, 7.2, 7.3, 7.4  See previous lecture 
4  9/14  Sample mean, sample variance, central limit theorem Confidence intervals, confidence interval for the mean 
Chapter 8, 8.1, 8.2 Chapter 11, 11.2,pp 355357 
Due 9/23 8.1, 8.2, 8.3, 8.4, 8.5, 8.61, 8.67, 8.70, 8.71, 11.1, 11.2, 11.20, 11.21 Solutions to Problem Set 3 
5  9/16  Sample mean, sample variance, central limit theorem Confidence intervals, confidence interval for the mean 
Chapter 8, 8.1, 8.2 Chapter 11, 11.1, 11.2 

6  9/21  Finite population sampling Confidence intervals, confidence interval for the mean Confidence intervals when variance is known; 
Chapter 8, 8.1, 8.2 Chapter 11, 11.2, 11.4, 11.5 
Due 9/30 11.3, 11.12, 11.22, 11.29, 11.38, 11.39, 11.40, 11.45, 11.49, 11.50 
7  9/23  Confidence intervals; Chisquare distribution, sample variance Confidence intervals for variance 
Chapter 8: 8.3, 8.4 Chapter 11: 11.6 
Due 9/30 8.22/8.23/8.24 8.25, 8.26, 8.28, 8.75, 8.77 11.53, 11.54 Solutions to problems due 9/30 
8  9/28  tdistributions and confidence intervals; Fdistributions and confidence intervals; 
Chapter 8, 8.5, 8.6 Chapter 11, 11.3, 11.6, 11.7 
Due 10/7: 8.30, 8.31, 8.33, 8.39, 8.40, 8.41, 8.42, 8.79, 8.81 11.6, 11.25, 11.30, 11.31, 11.32, 11.34, 11.57 Solutions, Problem Set 5 
9  9/30  Order statistics; sampling from a finite population  Chapter 8: 8.3, 8.7  Due 10/7: 8.13, 8.15, 8.43, 8.44/8.86, 8.45, 8.46, (Solutions are above) Due 10/14: 8.50, 8.53, 8.54/8.88, 8.89 Solutions, Problem Set 6 
10  10/5  Point Estimates, unbiased estimates; efficiency  Chapter 10: 10.110.3  Due 10/14: 10.1, 10.3, 10.4, 10.5, 10.8, 10.13 
11  10/7  Efficiency, consistency  Chapter 10: 10.3, 10.4  Due 10/21: 10.12, 10.14, 10.15, 10.17 10.21, 10.22, 10.23, 10.24, 10.26 
12  10/12  FIRST MIDTERM, in class  Formula sheet for test Review sheet for test Chisquare and normal samples, lecture notes Review prob. solutions, Part I, Solutions, Part II 

13  10/14  Point Estimates, unbiased estimates; efficiency  Chapter 10: 10.110.3  Due 10/21: 10.1, 10.3, 10.4, 10.5, 10.8, 10.13 
14  10/19  CraMerRao lower bound; Sufficiency 
Chapter 10: 10.3, 10.4, 10.5  Due 10/21: 10.12, 10.14, 10.15, 10.17 10.21, 10.22, 10.23, 10.24, 10.26 Solutions, Problem Set 7 
15  10/21  Method of moments; Maximum likelihood 
Chapter 10: 10.4, 10.7, 10.8  Due 10/28: 10.33, 10.36, 10.37, 10.42, 10.43, 10.45, 10.48, 10.49 10.51, 10.53, 10.56, 10.59,, 10.62, 10.66, 10.71, 10.72 Solutions to Problem Set 8 
16  10/26  Hypothesis testing: introduction  Chapter 12:12.1, 12.2  Due 11/4: 12.1, 12.3, 12.4, 12.5, 12.6, 12.7, Solutions to Problem Set 9 
17  10/28  The NeymanPearson lemma  Chapter 12: 12.4  Due 11/11: 12.10, 12.11 12.12, 12.13, 12.15, 12.32 
18  11/2  Tests with composite hypotheses; Power functions; likelihood ratio tests 
Section 12.5, 12.6  Due 11/11: 12.18, 12.20, 12.21, 12.22, 12.24,12.25, 12.41 Additional problems Plot to go with additional problems Solutions to Problem Set 10 
19  11/4  Power functions and likelihood ratio tests  Sections 12.5 and 12.6  
20  11/9  Testing hypotheses on means, variances, proportions  Sections 13.2, 13.2, 13.4, 13.5  
21  11/11  Testing hypotheses on means, variances, proportions  Sections 13.213.5  Due 11/18: 13.19, 13.20, 13.21, 13.25, 13.26 Solutions, Problem Set 11 
22  11/16  SECOND MIDTERM  Information on second midterm  
23  11/18  Testing hypotheses on kproportions, tables  Section 13.6, 13.7  Due 11/23 13.2, 13.9, 13.38, 13.40 13.47 13.48, 13.54, 13.67, 13.73, 13.77, 13.78 
24  11/23  Testing hypotheses on kproportions, tables  Section 13.6, 13.7  Due 11/23 13.2, 13.9, 13.38, 13.40 13.47 13.48, 13.54, 13.67, 13.73, 13.77, 13.78 Solutions to Problem Set 12 
25  11/30  Regression, Least Squares, Normal Regression, Bivariate normal 
Sections 14.1, 14.2, 14.3, 14.4, 6.7  Problems due 12/7 13.81, 13.83, 14.1, 14.3, 14.7, ,14.16, 14.52, 14.55 Solutions to Problem Set 13 
26  12/2  Normal correlation analysis  Section 14.5  Due 12/7: 6.45, 6.47, 14.31, 14.65, 14.66 Solutions to Problem Set 13 
27  12/7  One way designs and analysis of variance  Sections 15.1, 15.2  
28  12/9  Analysis of variance: One way layout  Sections 15.2  Due 12/9: 15.17, 15.3, 15.19, 15.23 Solutions to Problem Set 14 
29  12/14  FINAL EXAM EXAM REVIEW Monday, Dec. 14, 13, Hill 124 