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ISBN: 9780135163825
Author: De Veaux, Richard D., Velleman, Paul F., BOCK, David E.
Publisher: Pearson,
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Chapter 4, Problem 1E
To determine

Compare and contrast the distributions of domestic load factor and international load factor.

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Explanation of Solution

The data represent the histogram and summary statistics for the load factors of domestic and international commercial airlines for every month from October 2002 through 2017.

Interpretation of the histogram of domestic load factor:

From the given histograms for the domestic load factor, the observed points are given below:

  • The histogram consists of only one largest bar, and this indicates that the distribution of domestic load factor is unimodal.
  • The histogram shows that the length of the curve of the left hand tail is larger compared to the length of the curve of the right hand tail, and this says that the shape of the distribution is skewed to the left.

Interpretation of the histogram of international load factor:

From the given histograms for the international load factor, the observed points are given below:

  • The histogram consists of only one largest bar, and this indicates that the distribution of international load factor is unimodal.
  • The histogram shows that the length of the curve of the left hand tail is larger compared to the length of the curve of the right hand tail, and this says that the shape of the distribution is skewed to the left.

Interpretation of the summary statistics of domestic and international load factors:

The median of the domestic load factor is 81.54, and the median of the international load factor is 79.27, the interquartile range of the domestic load factor is 7.3775, and the interquartile range of the international load factor is 5.79.

Comparison and contrast:

  • The distributions of both the data sets of domestic and international load factors are unimodal with left skewed.
  • The distributions of international load factor may contain low outliers due to less variability.
  • Median is an appropriate measure of centre; here, the medians for both the distributions are close, and this says that the distributions of domestic load factor and international load factor are almost similar.
  • Interquartile range is an appropriate measure for the spread of the distribution and the IQR of domestic load factor is high, which indicates that the variability is more in the domestic load factors.

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