Question

5. (Paired t test) An article in the Journal of Strain Analysis (1983, Vol. 18, No. 2) compares several methods for predicting the shear strength for steel plate girders. Data for two of these methods, the Karlsruhe and Lehigh procedures, when applied to nine specific girders, are shown in Table 10-2. We wish to determine whether there is any difference (on the average) between the two methods. Use ? = 0.05. Table 10-2 Strength Predictions for Nine Steel Plate Girders (Predicted Load/Observed Load) Girder Karlsruhe Method Lehigh Method Difference d_i S1/1 1.186 1.061 0.119 S2/1 1.151 0.992 0.159 S3/1 1.322 1.063 0.259 S4/1 1.339 1.062 0.277 S5/1 1.200 1.065 0.138 S2/1 1.402 1.178 0.224 S2/2 1.365 1.037 0.328 S2/3 1.537 1.086 0.451 S2/4 1.559 1.052 0.507 a. Write the proper hypothesis for the scenario. b. Calculate the test statistic. c. Make the decision using critical value method. d. Make the decision using p value method. e. Make the decision using confidence interval method.

          5. (Paired t test) An article in the Journal of Strain Analysis (1983, Vol. 18, No. 2) compares several methods for predicting the shear strength for steel plate girders. Data for two of these methods, the Karlsruhe and Lehigh procedures, when applied to nine specific girders, are shown in Table 10-2. We wish to determine whether there is any difference (on the average) between the two methods. Use ? = 0.05.

Table 10-2 Strength Predictions for Nine Steel Plate Girders (Predicted Load/Observed Load)
Girder	Karlsruhe Method	Lehigh Method	Difference d_i
S1/1	1.186	1.061	0.119
S2/1	1.151	0.992	0.159
S3/1	1.322	1.063	0.259
S4/1	1.339	1.062	0.277
S5/1	1.200	1.065	0.138
S2/1	1.402	1.178	0.224
S2/2	1.365	1.037	0.328
S2/3	1.537	1.086	0.451
S2/4	1.559	1.052	0.507

a. Write the proper hypothesis for the scenario.
b. Calculate the test statistic.
c. Make the decision using critical value method.
d. Make the decision using p value method.
e. Make the decision using confidence interval method.

5. (Paired t test) An article in the Journal of Strain Analysis (1983, Vol. 18, No. 2) compares several methods for predicting the shear strength for steel plate girders. Data for two of these methods, the Karlsruhe and Lehigh procedures, when applied to nine specific girders, are shown in Table 10-2. We wish to determine whether there is any difference (on the average) between the two methods. Use ? = 0.05.

Table 10-2 Strength Predictions for Nine Steel Plate Girders (Predicted Load/Observed Load)
Girder Karlsruhe Method Lehigh Method Difference di
S1/1 1.186 1.061 0.119
S2/1 1.151 0.992 0.159
S3/1 1.322 1.063 0.259
S4/1 1.339 1.062 0.277
S5/1 1.200 1.065 0.138
S2/1 1.402 1.178 0.224
S2/2 1.365 1.037 0.328
S2/3 1.537 1.086 0.451
S2/4 1.559 1.052 0.507

a. Write the proper hypothesis for the scenario.
b. Calculate the test statistic.
c. Make the decision using critical value method.
d. Make the decision using p value method.
e. Make the decision using confidence interval method.

Added by Gwendolyn V.

Question

Please give Ace some feedback