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Minitab Analysis of Life for Males and Females

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Using the data provided we use Minitab to perform an analysis to determine the median grandparent life with a confidence interval of 95%.
First we construct a distribution ID plot to compare four (4) distributions for visual analysis. The distributions selected are Weibull, Lognormal, Exponential, and 3-parameter Weibull. The results are shown in Figure 1. Figure 1. Distribution ID Plot
The data shows that the distributions with the best fit are Weibull and the Lognormal. We choose to pursue further analysis on the Weibull distribution because the correlation coefficients are high for both the data for males and females with a value of 0.96. The Lognormal distribution shows a slightly weaker correlation with the data representing females with a value at 0.92.
Further analysis included the generation of a distribution Overview plot. Using the Weibull distribution we get the following plots shown in Figure 2. The results show that females have a tighter probability distribution than the males. The females also have a steeper curve for rate of death as age increases. This is shown in the Survival Function and Hazard Function plots below. Figure 2. Distribution Overview Plot and Weibull Analysis By conducting a parametric distribution analysis of the data we can fit a distribution to the data. We continue to use the Weibull distribution in this analysis. The resulting plot is shown in Figure 3. Figure 3. Probability Plot for Age using Weibull Distribution
The plot shows again that the Weibull distribution is a good fit for the data for both males and females. The confidence intervals are illustrated for various percentiles to the plot. Reviewing the data that is provided during the analysis using Minitab we determine that the median and 95% confidence interval for males and females is as shown in Table 1. Table 1. 95% Confidence Interval of

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