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Test 2 Study Guide: Chapter 6 and 7 The test is 50 minutes and consists of 10 computational questions and 5 multiple-choice questions. Bring the fold-out card from the book (do not write on it!). You may also bring a calculator if you wish. No other resources allowed. You can use StatCrunch on the test (be sure to familiarize yourself with it) As usual, have your cell phone off during the test. Sections covered on test Chapter 6 Chapter 7 6.2 The Standard Normal Distribution 7.2 Estimating a Population Proportion 6.3 Applications of Normal Distributions 7.3 Estimating a Population Mean: σ known 6.4 Sampling Distributions and Estimators 7.4 Estimating a Population Mean: σ unknown 6.5 The Central Limit Theorem 7.5 Estimating a Population Variance Concepts you should know: 1. The relation between the probability and the area under the density curve 2. The meaning of the standard normal distribution 3. The meaning of the Central Limit Theorem 4. Conditions for using the Central Limit Theorem 5. The meaning of the term point estimate 6. The interpretation of a confidence interval 7. The meaning of confidence level or degree of confidence 8. The meaning of the term margin of error 9. The meaning of the term critical value 10. How the t-distribution is different from the z-distribution 11. How do you compute the number of degrees of freedom for a sample? 12. What are the properties of the chi-square distribution? 13. The conditions needed to compute each confidence interval (proportion, mean, s.d.) Practice problems for computational questions: Use the Standard Normal Distribution to determine probabilities related to selecting a single member from a normal population. (See problems 13-15 on page 272 and problem 21 on page 273) Use the Central Limit Theorem to determine probabilities related to selecting a sample from a population. (See problems 13-14 on page 297) Find the confidence interval for a population proportion. (See textbook problems 32-34 on page 341.) Formula 7-1 Find the minimum sample size required to estimate a population proportion. (See textbook problems 41-42 on page 343.) Formula 7-2, 7-3 Find the confidence interval for a population mean when the standard deviation of the population is known. (See textbook problems 25 and 27 on page 353.) Formula on pg 346 Find the minimum sample size required to estimate a population mean when the standard deviation of the population is known. (See textbook problems 32 and 34 on page 354.) Formula 7-4 Find the confidence interval for a population mean when the standard deviation of the population is not known. (See textbook problems 19 and 28 on pages 367 and 368.) pg 357 Find the confidence interval for a population standard deviation. (See textbook problems 18 and 22 on pages 378 and 379.) Formula pg 374