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Chapter 1: Q. 1.1 (page 55)
Based only on the stemplot, would you expect the mean travel time to be less than, about the same as, or larger than the median? Why?
The Travel Time is to be Larger then median
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Which of the distributions shown has a larger standard deviation? Justify your answer.
Shopping spree A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much each shopper spent in the store. Here are the data (in dollars), arranged in
increasing order:
(a) Round each amount to the nearest dollar. Then make a stem plot using tens of dollars as the stems and dollars as the leaves.
(b) Make another stem plot of the data by splitting stems. Which of the plots shows the shape of the distribution better?
(c) Write a few sentences describing the amount of money spent by shoppers at this supermarket.
Baseball paradox Most baseball hitters perform differently against right-handed and left-handed pitching. Consider two players, Joe and Moe, both of whom bat right-handed. The table below records their performance against right-handed and left-handed pitchers:
(a) Use these data to make a two-way table of player (Joe or Moe) versus outcome (hit or no hit).
(b) Show that Simpson’s paradox holds: one player has a higher overall batting average, but the other player hits better against both left-handed and right-handed pitching.
(c) The manager doesn’t believe that one player can hit better against both left-handers and right-handers yet have a lower overall batting average. Explain in
simple language why this happens to Joe and Moe.
Population pyramids A population pyramid is a helpful graph for examining the distribution of a country’s population. Here is a population pyramid for Vietnam in the year . Describe what the graph tells you about Vietnam’s population that year. Be specific.
Basketball playoffs Here are the scores of the games played in the California Division I-AAA high school basketball playoffs
On the same day, the final scores of games in the Division
V-AA were
(a) Construct a back-to-back stem plot to compare the points scored by the teams in the Division I-AAA playoffs and the teams in the Division V-AA
playoffs.
(b) Write a few sentences comparing the two distributions.
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