## STAT 303, 503-504, Spring 1996 Prof. H. Joseph Newton Content of Final Exam

1. Schedule:
• Tuesday, 4/30: Walk
• Review Session: Thursday, 5:30pm, 104 Halbouty (next to Blocker).
• Last homework (Problems 8.40, 42, 56) due 5 pm Monday 5/6
• Final: Tuesday 5/7 3:30 HECC 204
2. Notes, Text, Review Session:
• Notes: Everything except Week 11
• Text: Chapter 1, 2 (except 2.3, 2.4), 3.4, 4, 5.1, 5.2, 6.1, 6.2, 7.1 (unstarred sections), 7.2, 7.3, 8.1, 8.2, 8.3, 9.1 (unstarred sections), 10.1 (unstarred sections, no contrasts or multiple comparisons), 10.2.
3. Emphasis of Exam:
• 200 points, half from exams 1 and 2, half on material since second exam.
• There will be problems similar to the ones on the second exam that used the four test of hypotheses graphs. Also, interpreting confidence intervals, p-values.
4. Topics:
1. Basic concepts
• Population and sample, Parameters and statistics, and so on.
2. Stem and leaf, histogram, box plots
3. Mean, median, mode, percentiles
4. Range, variance, standard deviation
5. Chebychev and empirical rules
6. Scatterplots, correlation coefficient
7. Correlation and causation
8. Probability
• Sample spaces
• Probability rules, unions and intersections
• Mutually exclusive and independent events
• Random variables, mean, variance
9. Binomial, hypergeometric, negative binomial, Poisson
10. Normal distribution
11. Transformed statistics
12. Sampling distributions
13. Properties of Z, t, chi-square, and F curves
14. Critical values and percentiles
15. The 11 cases for confidence intervals and tests of hypotheses
16. Central limit theorem
17. Properties of point estimators (unbiased, minimum variance)
18. Point estimators for the 11 situations, including pooled estimates of variance and common proportions.
19. Interpreting confidence intervals
20. The algebra to get confidence intervals
21. Testing hypotheses:
• Null and alternative hypotheses
• Type I and Type II errors
• p-values
• Interpreting Stataquest output
22. One-Way ANOVA:
• Null and alternative hypotheses
• Between and within sample variation
• Stataquest output
23. Two-way ANOVA:
• Interactions
• Main effects
• Stataquest output
24. Simple linear regression
• Scatterplot and least squares line
• Testing slope for zero
• R-squared
• Confidence interval for mean of y given x
• Prediction interval for y given x
25. Categorical data analysis
• Calculating chi-square statistic
• Null and alternative hypotheses
• Using the chi-square table to get a range for p-value