Introduction to Statistics Course MATH 1342

Collin County Community College

David Katz, instructor

Section by Section List of Test Topics For Exam #3 (Chapters 6-7 from Elementary Statistics, 10^th edition, by Triola)

The exam will consist of 20 multiple-choice questions from this list of questions from your homework sections.

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1. Solve problems using the formula card and check answers with the TESTS menu on the calculator
2. Determine the significance level (a) for a confidence interval (CI) or hypothesis test
3. Determine the confidence level (complement of a) for a CI
4. Diagram & label a graph of the distribution curve used for a CI or hypothesis test problem
5. Express a CI as a compound inequality, e.g., 43% < p < 49%, 32 < m < 38, etc.
6. Express a CI in interval notation, e.g., (0.43, 0.49), (32, 38), etc.
7. Know how to compute sample mean and sample standard deviation when needed (review 2-4, 2-5)
8. Remember: degrees of freedom (df) formula for t and c² distribution is n-1

18. (6-2) Know the mean and standard deviation for a standard normal probability distribution
19. (6-2) Know how to sketch and label the graph (i.e., bell-shaped curve) of a normal probability distribution
20. (6-2) Understand the correspondence between total probability and area under a curve
21. (6-2) Determine the z-value of a standard normal random variable, given a probability or percentage/percentile
22. (6-2) Compute the probability of a standard normal random variable being less than a value
23. (6-2) Compute the probability of a standard normal random variable being more than a value
24. (6-2) Compute the probability of a standard normal random variable being between two values
25. (6-3) Convert between normal and standard normal random variables using z = (x -m)/s
26. (6-3) Determine the x-value of a normal random variable, given a probability or percentage/percentile
27. (6-3) Compute the probability of a normal random variable being less than a value
28. (6-3) Compute the probability of a normal random variable being more than a value
29. (6-3) Compute the probability of a normal random variable being between two values
30. (6-5) Know when to use the Central Limit Theorem
31. (6-5) Convert a mean value to a standard normal variable and vice versa
32. (6-5) Compute the probability of a mean value being less than some number
33. (6-5) Compute the probability of a mean value being more than some number
34. (6-5) Compute the probability of a mean value being between two numbers
35. (7-2) Determine the point estimate for the population proportion (i.e., compute p-hat)
36. (7-2) Given p-hat and the sample size n, compute x, the number of successes in a survey/opinion poll
37. (7-2) Compute q-hat (complement of p-hat)
38. (7-2) Compute the critical values for a CI estimate of a population proportion
39. (7-2) Compute the margin of error (MoE) used in a CI estimate for a population proportion
40. (7-2) Use p-hat and MoE to build a confidence interval estimate for a population proportion
41. (7-2) Estimate the sample size n needed for a CI estimate of a proportion (p-hat known)
42. (7-2) Estimate the sample size n needed for a CI estimate of a proportion (p-hat not known)
43. (7-2) Given the confidence interval, compute the MoE (p.330)
44. (7-2) Given the confidence interval, compute p-hat (p.330)
45. (7-4) Compute the critical values for a CI estimate of m (s not known)
46. (7-4) Compute the margin of error (MoE) used in a CI estimate for m (s not known)
47. (7-4) Use the sample mean and MoE to build a confidence interval estimate for m (s not known)
48. (7-5) Compute the point estimate for s or s²
49. (7-5) Compute the critical values for a CI estimate of s²
50. (7-5) Compute the CI estimate for s or s²

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