Running times (in minutes) of 29 movies currently showing in early December 2004 are listed here, from a 73-minute European film called "The Big Animal," about a couple who unwittingly adopt a camel into their home when the circus leaves town, to the 173-minute Oliver Stone film about Alexander the Great.
a. Display the data with a stemplot.
b. Report the five-number summary values.
c. Use the 1.5 IQR Rule to determine which values, if any, should be considered outliers.
d. Sketch a boxplot of the data.
e. Which is a better summary of the "typical" movie length-the mean or the median? Explain.
f. If these movies are taken to be a sample of all the movies showing in 2004, is their mean length a statistic or a parameter? Do we call it or m?
g. In which case would you expect to be closer to m: when our sample consists of 29 movies or 59 movies?