Реферат: Probability Essay Research Paper Problem 615Test onetailed
Название: Probability Essay Research Paper Problem 615Test onetailed Раздел: Топики по английскому языку Тип: реферат |
Probability Essay, Research Paper Problem 6.15 Test: one-tailed z test for value of population mean Null Hypothesis: H0: population mean = 16 Alternative Hypothesis: Ha : population mean * 16 Standard Error: 9.32 / sq.rt. (33) = 1.62 Test Statistic: (9 – 16) / 1.62 = -4.32 Critical Value for z, alpha= 0.10 = 1.28 Acceptance Region from -1.28 to + infinity Reject the null hypothesis Problem 6.21 Test: one-tailed z test for value of population mean Null Hypothesis: H0: population mean = 1502.5 Alternative Hypothesis: Ha : population mean * 1502.5 Standard Error: 97.3 / sq.rt. (225) = 6.49 Test Statistic: (1511.4 – 1502.5) / 6.49 = 1.37 Critical Value for z, alpha= 0.05 = 1.645 Acceptance Region from negative infinity to + 1.645 Do NOT reject null hypothesis. Problem 6.49 Test: one-tailed t test (n * 30) for value of population mean Null Hypothesis: H0: population mean = 15 Alternative Hypothesis: Ha : population mean * 15 Standard Error: 5.4 / sq.rt. (12) = 1.56 Test Statistic: (12.3-15) / 1.56 = -1.73 Critical Value for z, alpha= 0.05 = 1.645 Acceptance Region from -1.645 to + infinity Reject the null hypothesis Problem 6.59 Test: one-tailed z test for value of population proportion Null Hypothesis: H0: population proportion = 0.4 Alternative Hypothesis: Ha : population proportion * 0.4 Standard Error: sq.rt. (0.4*0.6/337) = 0.027 Sample proportion = 133/337 = 0.395 Test Statistic: (0.395 – 0.400) / 0.027 = -0.19 Critical Value for z, alpha= 0.10 = 1.28 Acceptance Region from -1.28 to + infinity Do NOT reject the null hypothesis Problem 7.15 Test: one-tailed z test for difference between two population means Null Hypothesis: H0: mean1 – mean2 = 0 Alternative Hypothesis: Ha : mean1 – mean2 * 0 Standard Error: sq.rt. (7.37?/44 + 16.09?/44) = 2.78 Test Statistic: [(7.295-14.666) - 0] / 2.78 = -2.65 Critical Value for z, alpha= 0.05 = 1.645 Acceptance Region from -1.645 to + infinity Reject the null hypothesis Problem 8.13 Test: two-tailed z test for difference between two population proportions Null Hypothesis: H0: p1 – p2 = 0 Alternative Hypothesis: Ha : p1 – p2 not equal to 0 p1 = 35/100 = 0.35; p2 = 9/96 = 0.09 p = 44/196 = .22 Standard Error: sq.rt. (.22*.78 *(1/100 + 1/96)) = 0.059 Test Statistic: [(.35 - .09) - 0] / 0.059 = 4.41 Critical Value for z, alpha= 0.05 = 1.96 Acceptance Region from -1.96 to + 1.96 Reject the null hypothesis |