Question

1. You need to test H0: μ=10 against H1: μ>10. The test statistic was found to be, Ztest=1.72. The P value of the test should be:                                                                                                                                                                

1. 0.0427
2. 0.9573
3. 0.0854

2. You need to test H0: μ=100 against H1: μ<100. The P value of the test was found to be 0.0001. A possible 95% confidence interval is:                                                                                                                                                    

1. -∞, 99.5
2. -∞, 78.6
3. 110.3, ∞

3. A 95% upper confidence interval for the tensile strength of 0.05 millimeter (mm) Sisal fiber in Megapascals (MPa) was found to be 601.3, ∞. The correct interpretation of this confidence interval is:   

1. There is a 95% probability for the true tensile strength of 0.05 mm Sisal fiber exceeds 600 MP
2. 95% of 0.05 mm Sisal fiber has tensile strengths greater than 601.3 MPa
3. 95% of 0.05 mm Sisal fiber has tensile strengths lesser than 601.3 MPa

4. You need to test H0: β=0     vs     H1: β>0 for simple linear regression using a sample of 15 data points, where β is the slope. The test statistic was found to be ttest=2.03. The P value of the test should be:            

1. 0.0317
2. 0.0309
3. 0.9691

Answer 1

1) Answer: a) 0.0427 Explanation: P-value = P(Z > 1.72) = P(O<Z<) - P(0<Z<1.72) = 0.5-0.4573 P-value = 0.0427 (From normal table) 2) Answer: b) -60, 78.6 3) Answer: b) 95% of 0.05 mm Sisal fiber has tensile strengths greater than 601.3 Mpa 4) Answer: a) 0.0317 Explanation: P-value = P(t> 2.03) = 0.0317