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Z-Score Practice Worksheet Homework #1 1. Calculate the variance and standard deviation from the following data: 2, 3, 4, 7 2. If a sample has a variance of 89.5, what is its standard deviation? Can standard deviation be negative? 3. Calculate the variance and standard deviation from the following data: 4, 5, 3, 9 Z-Score Practice Worksheet PLS 2330 Homework #2 Name _____________________________ *You will need to use Appendix B – Standard Normal Table for this homework. 1. Find the z-score for X = 20 based on the following data: 19, 17, 15, 12, 9 2. The following scores were obtained as part of a sample with mean 10 and standard deviation 2. For each score, find the appropriate z-score: X = 11: z = X = 12: z = X = 25: z = X = 3: z = 3. UNCP is becoming a more selective university (hypothetical) and will only admit students who place at least 2 z-scores above the mean on the SAT that has a mean of 980 and a standard deviation of 75. What is the minimum score that an applicant must obtain to be admitted to the university? Z-Score Practice Worksheet Homework # 3Name _____________________________ 1. A sample of n = 5 has values of 3, 5, 4, 7, 6. Calculate the t-statistic assuming the sample standard deviation is 2 and the sample came from a population with a mean of 9 for a one-tailed test that is right-tailed with a .05 level of significance. Would you accept or reject the null hypothesis? 2. Using the information you calculated in Question 1, suppose you are now conducting a one-tailed test that is left-tailed. Would you accept or reject the null hypothesis? 3. A sample of n = 7 has values of 4, 8, 2, 3, 9, 5, 6 Calculate the t-statistic assuming the sample standard deviation is 1.5 and the sample came from a population with a mean of 5 for a one-tailed test that is right-tailed with a .05 level of significance. Would you accept or reject the null hypothesis? 4. Using the information you calculated in Question 2, suppose you are now conducting a one-tailed test that is left-tailed. Would you accept or reject the null hypothesis? Z-Score Practice Worksheet Homework # 4Name _____________________________ 1. A sample of n = 6 has values of 3, 5, 4, 7, 6, 8. Calculate the t-statistic assuming the sample standard deviation is 1.15 and the sample came from a population with a mean of 5 for a one-tailed test that is right-tailed with a .05 level of significance. Would you accept or reject the null hypothesis? 2. Using the information you calculated in Question 1, suppose you are now conducting a one-tailed test that is left-tailed. Would you accept or reject the null hypothesis? 3. A sample of n = 10 has values of 4, 8, 2, 3, 2, 9, 5, 6, 12, 10 Calculate the t-statistic assuming the sample standard deviation is 2.25 and the sample came from a population with a mean of 7 for a one-tailed test that is right-tailed with a .05 level of significance. Would you accept or reject the null hypothesis? 4. Using the information you calculated in Question 2, suppose you are now conducting a one-tailed test that is left-tailed. Would you accept or reject the null hypothesis?