MATH 113 Syllabus Fall 2010 WEEK 1 Monday, September 6 Read: Chapter 1 (Moore) pp. 3-22 Key concepts: individuals (rows, records), variables (quantitative vs categorical), distributions: bar and pie charts for categorical data, histograms & stemplots for quantitative variables, for quantitative variables: shape (symmetric or skewed, number of peaks), center, spread of a distribution, outliers Exercises: 1.13-1.22, 1.32, 1.35, 1.38 Wednesday, September 8 Read: Chapter 2 (Moore) pp. 39-56 Key concepts: mean, median, quartiles, 5-number summary, inter-quartile range (IQR), the 1.5 x IQR rule, standard deviation Exercises: 2.15-2.24, 2.38, 2.39, 2.43, 2.49, 2.51 Friday, September 10 Finishing touches and review; Quiz #1 WEEK 2 Monday, September 13 Read: Chapter 3 (Moore) pp. 67-85 Key concepts: density curve – mean and median, standard deviation; the normal curve – determined by the parameters µ (mean) and σ (standard deviation), 68-95-99.7 rule, standard normal curve/distribution, normal proportions, using standard normal distribution table Exercises: 3.15-3.24, 3.35, 3.37, 3.41, 3.49 Wednesday, September 15 Read: Chapter 4 (Moore) pp. 95-110 Key concepts: response and explanatory variables, scatterplot, interpreting a scatterplot: direction, form, and strength, Pearson’s formula, correlation – degree of linear association, positive and negative association between variables Exercises: 4.14-4.23, 4.26, 4.30, 4.34, 4.44 Friday, September 17 Finishing touches and review; Quiz #2 WEEK 3 Monday, September 20 Read: Chapter 5 (Moore) pp. 125-146 Key concepts: predicted values, observed values and residuals; review of facts about lines; least squares regression line and its equation; using LINEST in Excel; influential observations, extrapolation and lurking variables; the use of r2 Exercises: 5.17-5.26, 5.32, 5.36, 5.40, 5.54 Wednesday, September 22 Read: Chapter 6 (Moore) pp. 161-169 Key concepts: relationships in categorical data; the row variable, the column variable; marginal distributions; conditional distributions; Simpson’s Paradox Exercises: 6.8-6.17, 6.18, 6.20, 6.25 Friday, September 24 Finishing touches and review; Quiz #3 WEEK 4 Monday, September 27 Catching up – lecture, discussion, problems Wednesday, September 29 Read: Chapter 8 (Moore) pp. 201-216 Key concepts: population; sample; sampling design; voluntary response and convenience sampling; using table of random digits; observational study; experiment; statistical inference; confounding variables; bias; stratified random sample; multistage sampling, undercoverage; non-response Exercises: 8.16-8.24, 8.30, 8.40, 8.44, 8.46 Friday, October 1 Finishing touches and review; Quiz #4 WEEK 5 Monday, October 4 Read: Chapter 9 (Moore) pp. 223-238 Key concepts: design of experiments; subjects, factors, treatments, response variable; randomized comparative experiment; control, randomization, replication; statistically significant; double-blind experiment Exercises: 9.19-9.27, 9.38, 9.44, 9.48 Wednesday, October 6 Away at conference Friday, October 8 Away at conference WEEK 6 Monday, October 11 Read: Chapter 10 (Moore) pp. 261-280 Key concepts: random event; probability; sample space, event, probability model; discrete probability model; random variable Exercises: 10.32, 10.36, 10.40, 10.44, 10.50, 10.52 Wednesday, October 13 Prelim #1 Friday, October 15 Away at conference. WEEK 7 Monday, October 18 No class Fall break. Wednesday, October 20 Read: Chapter 11 (Moore) pp. 291-307 Key concepts: sampling distribution; parameter vs statistic; sampling distribution; the Law of Large Numbers; the Central Limit Theorem Exercises: 11.14-11.21, 11.26, 11.30, 11.34, 11.38 Friday, October 22 Finishing touches and review; Quiz #5 WEEK 8 Monday, October 25 Read: Chapter 14 (Moore) pp. 359-382 Key concepts: Conditions for inference about the mean; confidence interval estimate of µ; margin of error; level C confidence interval for a parameter; sample size for desired margin of error Exercises: 14.24-14.33, 14.38, 14.40, 14.48, 14.50, 14.54, 14.56 Wednesday, October 27 Continued discussion and coverage of topics from Chapter 14 Friday, October 29 Finishing touches and review; Quiz #6 WEEK 9 Monday, November 1 Read: Chapter 15 (Moore) pp. 393-405, 409-410 Key concepts: inference with an unknown population standard deviation, achieving a small margin of error, role of increasing the sample size, necessary assumptions, use sample standard deviation to estimate sampling distribution standard deviation, type I error and type II error. Exercises: 15.18-15.27, 15.30, 15.32, 15.42 Wednesday, November 3 Continued discussion and coverage of topics from Chapter 15 Friday, November 5 Read: Chapter 17 (Moore) pp. 443-458 Key Concepts: new assumptions; t-distribution with n-1 degrees of freedom; characteristics of density curves for t distributions; critical values; inferences about the mean; matched pairs t procedures Exercises: 17.15-17.24, 17.28, 17.32, 17.40, 17.46 Quiz #7 WEEK 10 Monday, November 8 Continued discussion and coverage of topics from Chapter 17 Wednesday, November 10 Read: Chapter 18 (Moore) pp. 471-488 Key concepts: inference with an unknown population standard deviation, achieving a small margin of error, role of increasing the sample size, necessary assumptions, use sample standard deviation to estimate sampling distribution standard deviation, type I error and type II error. Exercises: 15.18-15.27, 15.30, 15.32, 15.42 Friday, November 12 Read: Chapter 19 (Moore) pp. 501-514 Key Concepts: population proportion inference; sampling distribution of p ^; assumptions for inference about a proportion; confidence interval estimation of p; procedure for computing confidence interval for p; choosing a sample size; significance testing involving p Exercises: 19.15-19.24, 19.26, 19.32, 19.36, 19.40 Quiz #8 WEEK 11 Monday, November 15 Continued discussion and coverage of topics from Chapter 19 Wednesday, November 17 Review for Prelim #2 Friday, November 19 Prelim #2 WEEK 12 Monday, November 22 Read: Chapter 22 (Moore) pp. 561-581 Key Concepts: chi-square statistic, χ2; degrees of freedom; mean of chi-square distribution; assumptions for use; Exercises: 22.18-22.27, 22.30, 22.40, 22.44. 22.46 Wednesday, November 24 Thanksgiving break Friday, November 26 Thanksgiving break WEEK 13 Monday, November 29 Continued discussion and coverage of topics from Chapter 22 Wednesday, December 1 Finishing touches on Chapter 22 Friday, December 3 Read: Chapter 24 (Moore) pp. 633-653 Key concepts: ANOVA basics for one-way analysis of variance comparing several means; the F distribution; necessary assumptions; degrees of freedom for F test; Exercises: 24.15-24.23, 24.24, 24.28, 24.30 Quiz #9 WEEK 14 Monday, December 6 Continued discussion and coverage of topics from Chapter 24 Wednesday, December 8 Finishing touches on Chapter 24 and review for final Friday, December 10 Review for final FINAL EXAM Thursday, December 16, 8:30 – 11:30