The accompanying data on crack initiation depth (mm)was read from a lognormal
Chapter 7, Problem 56(choose chapter or problem)
The accompanying data on crack initiation depth (mm)was read from a lognormal probability plot that appearedin the article Incorporating Small Fatigue CrackGrowth in Probabilistic Life Prediction: Effect ofStress Ratio in Ti-6Al-2Sn-6Mo (Intl. J. of Fatigue,2013: 8395). Although the pattern in the plot was quitestraight, a normal probability plot of the data also showsa reasonably linear pattern. And a boxplot indicates thatthe distribution is quite symmetric in the middle 50% ofthe data and only mildly skewed overall. It is thereforereasonable to estimate and predict using t intervals.4.7 5.1 5.2 5.3 5.6 5.8 6.3 6.77.2 7.4 7.7 8.5 8.9 9.3 10.1 11.2a. Estimate the true average crack initiation depth witha 99% CI and interpret the resulting interval.b. Predict the value of a single crack initiation depth byconstructing a 99% PI.c. Interpret in context the meaning of 99% in (b).
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