The accompanying data on crack initiation depth (mm) was read from a lognormal probability plot that appeared in the article Incorporating Small Fatigue Crack Growth in Probabilistic Life Prediction Effect of Stress Ratio in Ti 6Al 2Sn 6Mo (Intl J of Fatigue, 2013 83 95) Although the pattern in the plot was quite straight, a normal probability plot of the data also shows a reasonably linear pattern And a boxplot indicates that the distribution is quite symmetric in the middle 50 of the data and only mildly skewed overall It is therefore reasonable to estimate and predict using t intervals a Estimate the true average crack initiation depth with a 99 CI and interpret the resulting interval b Predict the value of a single crack initiation depth by constructing a 99 PI c Interpret in context the meaning of 99 in (b) 4 7 5 1 5 2 5 3 5 6 5 86 36 7 7 2 7 4 7 78 5 8 9 9 310 11 2

Question: The accompanying data on crack initiation depth (mm) was read from a lognormal probability plot that appeared in the article Incorporating Small Fatigue Crack Growth

The accompanying data on crack initiation depth (mm) was read from a lognormal probability plot that appeared in the article "Incorporating Small Fatigue Crack Growth in Probabilistic Life Prediction: Effect of Stress Ratio in Ti-6Al-2Sn-6Mo" (Intl. J. of Fatigue, 2013: 83-95). Although the pattern in the plot was quite straight, a normal probability plot of the data also shows a reasonably linear pattern. And a boxplot indicates that the is quite symmetric in the middle 50% of the data and only mildly skewed overall. It is therefore reasonable to estimate and predict using t intervals.

a. Estimate the true average crack initiation depth with a 99% CI and interpret the resulting interval.
b. Predict the value of a single crack initiation depth by constructing a 99% PI.
c. Interpret in context the meaning of 99% in (b).

4.7 5.1 5.2 5.3 5.6 5.86.36.7 7.2 7.4 7.78.5 8.9 9.310. 11.2

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