Question: A study examined how long aircraft air conditioning units operated after being repaired. Here are the operating times (in hours) for one unit:

97 51 11 4 141 18 142 68 77 80 1 16 106 206 82 54

31 216 46 111 39 63 18 191 18 163 24

a. Make a histogram of these data, using 40-hour wide classes, starting with intervals of \[0\le time\le 40,\] \[40\le time\le 80,\] \[80\le time\le 120\] , etc. Your histogram must be completely and correctly label. (15 points)

Hint: Set your x-scale to 40 when examining your histogram.

b. Describe the overall shape of the distribution clearly and concisely: Is it roughly symmetric, skewed to the right,

or skewed to the left? Is its strength weak, strong, or moderate? Are there any outliers? (4 points)

c. Is the five number summary or the mean and standard deviation a better brief summary for this distribution? Explain your choice. Show your work to support the choice. Include the descriptive statistics in your data. (6 points)