Question

Question 5: Data on the total tobacco exposure time (in seconds) for G-rated animated films with tobacco use released between 1937 and 1997 produced by Walt Disney, Inc. are as follows:

223 176 548 37 158 51 299 37 11 165 74 92 6 23 206 9

Similar data for G-rated animated films with tobacco use produced by MGM/United Artists, Warner Brothers, Universal, and Twentieth Century Fox are as follows:

205 162 6 1 117 5 91 155 24 55 17

(a) . Construct a back-to-back stem-and-leaf plot to compare the two exposure-time distributions. Use hundreds for stems and tens (truncated) for leaves. Divide each stem into a ”Low” and ”High” part.

(b) . Compare the two exposure-time distributions with respect to shape, centre, spread and outliers

Answer 1

a) A Stem and Leaf Plot is a special table where each data value is split into a "stem" (hundreds) and a "leaf" (tens). For example, in 176, stem would be 1 and leaf would be 6. Ignore last digit.

Write wach stem value twice. Write 0 to 4 leaves in "Low" part and 5 to 9 leaves in "High" part. A back-to-back stem-and-leaf plot to compare the two exposure-time distributions is shown below:

b) Both exposure-time distributions are skewed to the right. The MGA/United's exposure-time distribution does not have any outlier while Walt disney's exposure-time distribution has an outlier at 548. The median time for MGA/United's exposure-time is 55 seconds while for Walt disney's exposure-time is 83 seconds. The exposure-time distribution for Walt disney is more spreadout than MGA/United's exposure-time distribution.