MATH 155 Final Review (Section 1.1 - 9.4, 13.1 - 13.4)

1. Know the definition of statistics. (1.1)

2. Know the difference between statistical significance and practical significance. (1.2)

3. Know the types of data and ways of collecting this data. (1.3 - 1.4)

4. Be able to describe statistical thinking, bias, and measurement error. (1.6)

5. Know how to construct a frequency distribution table and the definition of itscomponents. (2.2)

6. Know how to construct bar graphs, pareto chart, pie chart, stem-and-leaf display,histogram, frequency polygon, ogive and dotplot and the definition and how to findscatterplot and time-series graph. (2.3)

7. Know how to interpret summation notation.

8. Know the definition of and how to find the mean, median, mode, range, varianceand standard deviation. (3.2-3.3)

9. Know how the Empirical rule and the Chebyshev’s rule apply to sets of data. (3.3)

10. Know how to determine interquartile range (IQR) and know how construct aboxplot & a modified boxplot and determine possible outliers. (3.4)

11. Know the definition of experiment, sample space, event. (4.2)

12. Know how to determine the probability of an event and know the rule for deter-mining the number of outcomes using the combinations rule. (4.3, 4.6)

13. Know the rule of complements. (4.3)

14. Know the additive rule of probability and how to determine if two events aremutually exclusive. (4.3)

1

15. Know how to find the conditional probability of an event given another eventoccurring. (4.4, 4.5)

16. Know the multiplicative rule and how to determine if two events are independent.(4.4, 4.5)

17. Know how to determine the number of outcomes using the fundamental countingprinciple, permutation rule and the combinations rule. (4.6)

18. Know the definition of discrete and continuous random variable, how to differentiatebetween them and the definition of a probability distribution for a random variable.(5.2)

19. Know how to find the mean, variance, standard deviation for a random variable.(5.2)

20. Know the characteristics of a binomial random variable and know the binomialprobability distribution. (5.3)

21. Know how to find the mean, variance and standard deviation of a binomial randomvariable and how to use a binomial table to determine probability. (5.4)

22. Know the definition of a standard normal distribution and how we use it with thetable to find the probabilities for normal random variables. (6.2 - 6.5)

23. Know how to construct a confidence interval for a population mean when σ isknown & when σ is unknown. (7.3)

24. Know how to construct a confidence interval for a population proportion. (7.2)

25. Know how to determine sample size necessary for a population mean & populationproportion, 100(1− α)% confidence interval. (7.2, 7.3)

26. Know the elements of an hypothesis test. (8.2)

28. Know the conditions necessary to conduct test of hypothesis for population mean& population proportion using: a) Critical values/rejection region b) p-value (8.3 - 8.4)

29. Know when & how to use sign test. (13.2)

2

30. Know how to compare two population means from independent samples and paireddifference experiments. (9.3 - 9.4)

31. Know when & how to use the Wilcoxon rank sum test & Wilcoxon signed ranktest. (13.3 - 13.4)

3