With randomization techniques we are able to analyze any statistic we desire. What if we wanted to look at whether the median lifespan of men with children was higher than men without children? Using the Multiple Means applet and the Median option on it, answer parts (a) through (f) of the previous exercise looking at the difference in median lifespans.

Data from previous exercise

a. Use an appropriate randomization-based applet to find a p-value to test whether men with children tend to live longer, on average, than men without children. Report and interpret the p-value in the context of the study.

b. Use the p-value to indicate the strength of evidence against the null hypothesis.
c. Calculate an appropriate standardized statistic and interpret the standardized statistic in the context of the study.
d. Use the 2SD method to find a confidence interval for the parameter of interest. Report this interval and interpret the interval in the context of the study.
e. Do the results from the 95% confidence interval agree with your conclusion in part (c)? How are you deciding?
f. Give a full conclusion, including significance, estimation, causation, and generalization.