1 If Sample size n = 64, sample standard deviation = 80. Sample mean = 100, Ho: Population mean = 115. The standardized test statistic ( Zc) =? 2 In a sample the mean = 40; Ho: Population mean = 43. Standard Error of the Mean = 1.5; alpha risk = 6% on a two-tail normal distribution. Which of the following are true? a. Table Zt = 1.45 and Computed Zc = 2.45 b. Table Zt = 1.88 and Computed Zc = 2.0 c. Table Zt = 1.97 and Computed Zc = 2.50 d. Table Zt = 2.50 and Computed Zc = 1.88 3 In a sample the mean = 40; Ho: Population mean = 43. Standard Error of the Mean = 1.5; alpha risk = 6% on a two-tail normal distribution. Which of the following are true? a. Do not Reject Ho and Pvalue = .0456 b. Reject Ho and Pvalue = .1836 c. Reject Ho and Pvalue = .0456 d. Do not Reject Ho and Pvalue = .1836 4 In a 1-tail, normal distribution of n = 144, alpha risk = 4%. The sample mean = 72.1 Ho: Population mean is less than or equal to 70. Sample standard deviation = 18. Which of the following are true? a. Table Zt = 1.55 and Computed Zc = 2.67 b. Table Zt = 1.46 and Computed Zc = 1.25 c. Table Zt = 1.25 and Computed Zc = 1.46 d. Table Zt = 1.75 and Computed Zc = 1.40 5 In a 1-tail, normal distribution of n = 144, alpha risk = 4%. The sample mean = 72.1 Ho: Population mean is less than or equal to 70. Sample standard deviation = 18. Which of the following are true? a. Do not Reject Ho and Pvalue = .08 b. Do not Reject Ho and Pvalue = .16 c. Reject Ho and Pvalue = .08 d. Reject Ho and Pvalue = .016 6 A 1-tail, normal distribution of n = 64, alpha risk = 10%. Sample mean = 206; Ho: Population mean is no more than 202 Sample standard deviation = 16. What is the Pvalue? 7 A 1-tail, normal distribution of n = 64, alpha risk = 10%. Sample mean = 206; Ho: Population mean is no more than 202 Sample standard deviation = 16. What is the Computed Zc? 8 A 1-tail, normal distribution of n = 64, alpha risk = 10%. Sample mean = 206; Ho: Population mean is no more than 202 Sample standard deviation = 16. What is the Table Zt? 9 A 1-tail, normal distribution of n = 64, alpha risk = 10%. Sample mean = 206; Ho: Population mean is no more than 202 Sample standard deviation = 16. What is the Table Zt? Which of the following is true? a. Zc exceeds Zt & Do not Reject Ho b. Zc exceeds Zt & Reject Ho c. Pvalue less than Alpha risk & Reject Ho d. both "a" and "b" are correct e. both "b" and "c" are correct 10 A 1-tail, normal distribution of n = 64, alpha risk = 10%. Sample mean = 206; Ho: Population mean is no more than 202 Sample standard deviation = 16. What is the Table Zt? What is the highest sample mean that could be found which would not reject Ho? a. 204.56 b. 204.29 c. 205.16 d. 206.87 e. 207.28 11 One firm states Ho: The population mean is at least 75. It decides that any sample mean that is 70 or less will cause the firm to reject Ho. Assume normal curve. In a sample of n=100 the standard deviation is 20. What is the firm's 1-tail alpha risk? 12 One firm states Ho: The population mean is at least 75. It decides that any sample mean that is 70 or less will cause the firm to reject Ho. Assume normal curve. In a sample of n=100 the standard deviation is 20. If the true population mean actually = 68, what is the firm's 1-tail Beta risk? 13 The Null Hypothesis: Ho: Population Mean = 80. Sample of n=100 gives a mean of 75 and standard deviation of 25. Alpha Risk = 5% two-tail. Which of the following are true? a. Computed Zc = 2 b. Zt = 1.96 c. Zt = 1.25 d. both "a" and "b" are correct e. Both "a" and "c" are correct 14 The Null Hypothesis: Ho: Population Mean = 80. Sample of n=100 gives a mean of 75 and standard deviation of 25. Alpha Risk = 5% two-tail. Which of the following are true? a. Pvalue = 10% b. Pvalue = .0912 c. Pvalue = .0228 d. Pvalue = .0456 15 Rules indicate that a sample mean between 66 and 74 will cause to firm to believe that the true population mean is still 60. A sample of n = 100 gives a standard deviation of 20. What is the Alpha Risk? 16 Researcher states Ho: mean = 40. Two-tail alpha risk = 10% A sample is taken of the following 5 values (Sum = 175): X 30 33 34 38 40 Which of the following are true? a. Computed Tc = 1.79 b. Computed Tc = 2.79 c. Table Tt = 2.132 d. Both "a" and "c" are correct e. Both "b" and "c" are correct 17 Groups H & I are being tested: H has n = 50; mean = 14; variance = 3 I has n = 50; mean = 12; variance = 2 Use ANOVA to calculate Calculate the overall group mean (Round to nearest whole number) 18 Groups H & I are being tested: H has n = 50; mean = 14; variance = 3 I has n = 50; mean = 12; variance = 2 Use ANOVA to calculate Sum of Squares Between ( Sum of Squares due to Treatment SSTR) 19 Groups H & I are being tested: H has n = 50; mean = 14; variance = 3 I has n = 50; mean = 12; variance = 2 Use ANOVA to calculate Sum of Squares Within (Sum of Squares due to Error) SSE 20 Groups H & I are being tested: H has n = 50; mean = 14; variance = 3 I has n = 50; mean = 12; variance = 2 Use ANOVA to calculate Mean Square due to Treatments MSTR or between treatment estimate of variance