The Z Test. Assignment. Terms You Should Know. Psychological Statistics The Z Test. G&W, Chapter 6. Z-test
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1 Assignment G&W, Chapter 6 Terms You Should Know. Z-test Critical Value of Z when p <.05 for a 1-tail test. Critical Value of Z when p <.05 for a 2-tail test. Critical value of Z when p <.01 for a 1-tail test Critical value of Z when p <.01 for a 2-tail test Rev. August, 2006 Page - 42 GradStat Study Guide
2 Formulas and Symbols You Should Know. σm = σ N M µ σ M Rev. August, 2006 Page - 43 GradStat Study Guide
3 Computations You Should be Able to Perform. Problem 1. Les Ismore had the idea that intense intellectual effort would affect the level of blood cholesterol but did not know how much. Ismore had data from a huge group where : = 150 and F = 16. A group of 36 heavy thinkers had a mean level of 156 with s = 12. Was Les correct in this assumption? 1. What is your research hypothesis? 2. What is H o? 3. What is H 1? 4. Is this a one or two-tailed test? 5. What is the significance level and its critical value of Z? 6. What is your best estimate of the population F? 7. What is the Standard error of the mean? 8. What is your calculated statistic? 9. What is your conclusion? Rev. August, 2006 Page - 44 GradStat Study Guide
4 Problem 2. Sammy Quaver thinks that listening to Barry Manilow music while studying will affect students performance on the Graduate Record Examinations but does not know whether the listening will distract students making their studying less effective, or if it will improve studying by acting as white noise blocking out other distracting sounds. The GRE has the following statistical properties: : = 500 and F = 100. Using a sample of 121 students who listened to Barry Manilow while preparing for the GRE, Quaver found that the group obtained a mean score of 460 with a standard deviation of What conclusion can you draw from these data? 1. What is your research hypothesis? 2. What is H o? 3. What is H A? 4. Is this a one or two-tailed test? 5. What is the significance level and its critical value of Z? 6. What is your best estimate of the population F? 7. What is the Standard error of the mean? 8. What is your calculated statistic? 9. What is your conclusion? Rev. August, 2006 Page - 45 GradStat Study Guide
5 Problem 3. Bull Phrogg was interested in the effects of a drug that would reduce the amount of sleep people required. Phrogg knew that the average number of hours required for most people is 8 hours; the standard deviation is.72 hours. Using a sample of 36 people the researcher who took the drug, Bull found that the mean amount of time they needed to sleep each night was 7.7 hours. Is there any evidence that the drug worked? 1. What is Null Hypotheses H 0? 2. What is Alternative hypothesis, H A? 3. Is this a one or two-tailed test? 4. What is the significance level and critical value or the test? 5. What is the sampling distribution? 6. What is the standard error? 7. What is Z? 8. What is your conclusion? Rev. August, 2006 Page - 46 GradStat Study Guide
6 Concepts and Interpretation. 1. When is it appropriate to use a Z-test? What information should you have? 2. Suppose you conducted a Z-test and found that it was significant at p <.25. How would you interpret this result? 3. What is the difference between a one-tailed and two-tailed Z-test? Rev. August, 2006 Page - 47 GradStat Study Guide
* σ = The Z Test. Formulas and Symbols You Should Know. Assignment: Heiman Chapter 10. Terms You Should Know.
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