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Practice Problems Review Sheet - Fall 2009 | MATH 243, Study notes of Probability and Statistics

University of Oregon (UO)Probability and Statistics
Prof. D. Westerman

Material Type: Notes; Professor: Westerman; Class: + Dis >4; Subject: Mathematics; University: University of Oregon; Term: Summer 2009;

Typology: Study notes

Pre 2010

Uploaded on 09/17/2009

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Math 243, Summer 2009
Final Review and Practice Problems
Instructor: Dan Westerman
August 6, 2009
Contents
Review 1
Ch. 20 โ€“ Inference about a Population Proportion ............... 1
Ch. 21 โ€“ Comparing Two Proportions ..................... 2
Ch. 4 โ€“ Scatterplots and Correlation ...................... 2
Ch. 5 โ€“ Regression ................................ 2
Practice Problems 3
Ch. 20 โ€“ Inference about a Population Proportion ............... 3
Ch. 21 โ€“ Comparing Two Proportions ..................... 4
Ch. 4 โ€“ Scatterplots and Correlation ...................... 4
Ch. 5 โ€“ Regression ................................ 4
Review
In addition to the material from the midterms, you should know:
Ch. 20 โ€“ Inference about a Population Proportion
1. What a proportion is, and how to find sample proportions.
2. The sampling distribution of ห†pwhen large simple random samples are taken from a
population with proportion p. (You may want to review what a sampling distribution
is, which was the topic of Chapter 11.) Specifically, you should be able to state the
result in this section that is the analogue of the central limit theorem.
3. The conditions necessary for inference about a population proportion.
4. How to find and interpret confidence intervals for proportions using the plus four
method.
1
pf3
pf4

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Download Practice Problems Review Sheet - Fall 2009 | MATH 243 and more Study notes Probability and Statistics in PDF only on Docsity!

Math 243, Summer 2009

Final Review and Practice Problems

Instructor: Dan Westerman

August 6, 2009

Contents

Review 1 Ch. 20 โ€“ Inference about a Population Proportion............... 1 Ch. 21 โ€“ Comparing Two Proportions..................... 2 Ch. 4 โ€“ Scatterplots and Correlation...................... 2 Ch. 5 โ€“ Regression................................ 2

Practice Problems 3 Ch. 20 โ€“ Inference about a Population Proportion............... 3 Ch. 21 โ€“ Comparing Two Proportions..................... 4 Ch. 4 โ€“ Scatterplots and Correlation...................... 4 Ch. 5 โ€“ Regression................................ 4

Review

In addition to the material from the midterms, you should know:

Ch. 20 โ€“ Inference about a Population Proportion

  1. What a proportion is, and how to find sample proportions.
  2. The sampling distribution of ห†p when large simple random samples are taken from a population with proportion p. (You may want to review what a sampling distribution is, which was the topic of Chapter 11.) Specifically, you should be able to state the result in this section that is the analogue of the central limit theorem.
  3. The conditions necessary for inference about a population proportion.
  4. How to find and interpret confidence intervals for proportions using the plus four method.
  1. How to find the sample size necessary for a desired confidence level and margin of error.
  2. How to carry out and interpret hypothesis tests for proportions.

Ch. 21 โ€“ Comparing Two Proportions

  1. A fact very similar to the Central Limit Theorem that describes the sampling distri- bution of ห†p 1 โˆ’ pห† 2.
  2. How to find and interpret plus four confidence intervals for two population proportions.
  3. How to run and interpret hypothesis tests for two population proportions.

Ch. 4 โ€“ Scatterplots and Correlation

  1. What explanatory and response variables are.
  2. How to make scatterplots, and describe overall patterns and deviations from these patterns using scatterplots.
  3. What positive and negative associations are.
  4. How to find and interpret the correlation r.

Ch. 5 โ€“ Regression

  1. What a regression line is.
  2. What residuals are.
  3. The general slope-intercept form for straight lines, and what each of these numbers (the slope and the y-intercept) mean.
  4. What the least-squares regression line is, what the equations related to it are, and how to find it.
  5. How to use the least-squares regression line to make predictions.
  6. What interpolation and extrapolation are, and what these have to do with making predictions.
  7. The interpretation of r^2.

Ch. 21 โ€“ Comparing Two Proportions

  1. A SRS of 60 guitarists in rock bands contains 40 people with blue eyes. A SRS of 100 drummers in rock bands contains 45 people with blue eyes. Does this provide significant evidence that a greater proportion of guitarists than drummers in rock bands have blue eyes?
  2. A 2008 Gallup poll showed that John McCain is favored by 35% of 18-29 year-old registered voters, and is favored by 46% of registered voters 65 years and older. Suppose that these are based on simple random samples sizes 500 and 300, respectively. Find a 96% confidence interval for the difference in support for McCain between these two age groups.

Ch. 4 โ€“ Scatterplots and Correlation

  1. Exercise 4.7 from the textbook. Also do this: (c) Calculate the correlation for each set of data. What is your interpretation of these correlations?
  2. Exercise 4.11 from the textbook.

Ch. 5 โ€“ Regression

  1. This problem refers to Exercise 4.7.

(i) Find the least-squares regression lines for the two sets of data. (ii) Use these lines to predict the icicle length 55 minutes into each run. (iii) Use these lines to predict the icicle length 350 minutes into each run. (iv) What is the difference between your predictions in parts (ii) and (iii)? Do you trust one prediction more than the other? If so, which one?