In: Statistics and Probability
An article in the Journal of Strain Analysis (Vol 18, No. 2, 1983) compares several procedures for predicting the shear strength for steel plate girders. Data for the ratio of predicted to observed load for two of these procedures on 9 girders are collected using paired comparative experiment are displayed as follows:
Girder | Karlsruhe Method | Lehigh Method |
S1/1 | 1.186 | 1.061 |
S2/1 | 1.151 | 0.992 |
S3/1 | 1.322 | 1.063 |
S4/1 | 1.339 | 1.062 |
S5/1 | 1.2 | 1.065 |
S2/1 | 1.402 | 1.178 |
S2/2 | 1.365 | 1.037 |
S2/3 | 1.537 | 1.086 |
S2/4 | 1.559 | 1.052 |
(a) Is there any evidence to support a claim that there is a difference in mean performance of the two methods? Using α = 0.05?
(b) What is the p-value for the test in part (a)?
(c) Construct a 95% confidence interval for the difference in mean ratio of predicted to observed load.