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) = 1.62Test Statistic: (9 - 16) / 1.62 = -4.32Critical Value for z, alpha= 0.10 = 1.28Acceptance Region from -1.28 to + infinityReject the null hypothesisProblem 6.21Test: one-tailed z test for value of population meanNull Hypothesis: H0: population mean = 1502.5Alternative Hypothesis: Ha : population mean * 1502.5Standard Error: 97.3 / sq.rt. (225) = 6.49Test Statistic: (1511.4 - 1502.5) / 6.49 = 1.37Critical Value for z, alpha= 0.05 = 1.645Acceptance Region from negative infinity to + 1.645Do NOT reject null hypothesis.Problem 6.49Test: one-tailed t test (n * 30) for value of population meanNull Hypothesis: H0: population mean = 15Alternative Hypothesis: Ha : population mean * 15Standard Error: 5.4 / sq.rt. (12) = 1.56Test Statistic: (12.3-15) / 1.56 = -1.73Critical Value for z, alpha= 0.05 = 1.645Acceptance Region from -1.645 to + infinityReject the null hypothesisProblem 6.59Test: one-tailed z test for value of population proportionNull Hypothesis: H0: population proportion = 0.4Alternative Hypothesis: Ha : population proportion * 0.4Standard Error: sq.rt. (0.4*0.6/337) = 0.027Sample proportion = 133/337 = 0.395Test Statistic: (0.395 - 0.400) / 0.027 = -0.19Critical Value for z, alpha= 0.10 = 1.28Acceptance Region from -1.28 to + infinityDo NOT reject the null hypothesis Problem 7.15Test: one-tailed z test for difference between two population meansNull Hypothesis: H0: mean1 - mean2 = 0Alternative Hypothesis: Ha : mean1 - mean2 * 0Standard Error: sq.rt. (7.37/44 + 16.09/44) = 2.78Test Statistic: [(7.295-14.666) - 0] / 2.78 = -2.65 Critical Value for z, alpha= 0.05 = 1.645Acceptance Region from -1.645 to + infinityReject the null hypothesisProblem 8.13Test: two-tailed z test for difference between two population pr...
