One more question.... Are the numbers listed the next higher number from when it failed? For example, if the failure is listed at "7", I am guessing that means it survived 6 turns, but failed some time before the 7th turn? As opposed to "7" meaning sometime between 6.5 turns and 7.5 turns.
I ran the numbers thru Minitab and found that the 3-Parameter Weibull, the 3-Parameter Lognormal, and the 3-Parameter Loglogistic all fit quite well.
The results are listed below (in a format that is unfortunately a little hard to read). The bottom line is that 1% of the parts are predicted to fail after 5.07, 5.31, and 5.22 turns for he three different models. Unfortunately, the lower confidences limits for the 1% failure time is 4.95 turns. So you couldn't be 95% confident that 99% would survive 5 turn.
At least, that is how I interpret the results....
Goodness-of-Fit
Anderson-Darling Correlation
Distribution (adj) Coefficient
3-Parameter Weibull 0.665 0.954
3-Parameter Lognormal 0.757 0.979
3-Parameter Loglogistic 0.754 0.986
Table of Percentiles
Standard 95% Normal CI
Distribution Percent Percentile Error Lower Upper
3-Parameter Weibull 1 5.06815 0.313992 4.95 5.72249
3-Parameter Lognormal 1 5.30569 0.620517 4.95 6.67256
3-Parameter Loglogistic 1 5.22087 0.287229 4.95 5.81530
3-Parameter Weibull 5 5.35177 0.250414 4.95 5.86578
3-Parameter Lognormal 5 5.57592 0.424557 4.95 6.47333
3-Parameter Loglogistic 5 5.54601 0.227759 5.11710 6.01087
3-Parameter Weibull 10 5.63980 0.240373 5.18781 6.13116
3-Parameter Lognormal 10 5.79599 0.319429 5.20254 6.45712
3-Parameter Loglogistic 10 5.80170 0.222758 5.38113 6.25515
3-Parameter Weibull 50 7.78835 0.485794 6.89211 8.80114
3-Parameter Lognormal 50 7.39866 0.458349 6.55271 8.35382
3-Parameter Loglogistic 50 7.38317 0.370192 6.69212 8.14559