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Chapter 4: Q. 92 (page 269)

Comparing rainfall (1.3) The boxplots summarize the distributions of average monthly rainfall (in inches) for Tucson, Arizona, and Princeton, New Jersey Compare these distributions.


  • Inference about a population requires that the individuals taking part in a study be randomly selected from the population.
  • A well-designed experiment that randomly assigns experimental units to treatments allows inference about cause and effect.
  • In the absence of an experiment, good evidence of causation requires a strong association that appears consistently in many studies, a clear explanation for the alleged causal link, and careful examination of other variables.
  • Studies involving humans must be screened in advance by an institutional review board. All participants must give their informed consent before taking part. Any information about the individuals in the study must be kept confidential.

Short Answer

Expert verified
  • The Princeton distribution is left-skewed whereas the Tucson distribution is right-skewed.
  • The Princeton distribution center looks to be higher than the Tucson distribution center.
  • The Princeton distribution's spread looks to be greater than the Tucson distribution's spread.
  • There is one outlier in the Tucson distribution but none in the Princeton distribution.

Step by step solution

01

Given information 

We need to compare the distributions of the boxplots

02

Explanation 

We know that

  • Because the box of the boxplot is to the right between the whiskers, the Princeton distribution is skewed to the left. Because the box of the boxplot is to the left between the whiskers, the Tucson distribution is skewed to the right.
  • Because the boxplot of Princeton is total to the right of the boxplot of Tucson, the center of the Princeton distribution seems to be higher than the center of the Tucson distribution (when ignoring the outlier).
  • Because the boxplot of Princeton is wider than the boxplot of Tucson, the spread of the Princeton distribution seems to be higher than the spread of the Tucson distribution.
  • There is one outlier (represented by the dot) in the Tucson distribution, but there is none in the Princeton distribution.

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