Intro Stats, Books a la Carte Edition (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 4, Problem 1E

Load factors 2016 The Research and Innovative Technology Administration of the Bureau of Transportation Statistics (www.TranStats.bts.gov/Data_Elements.aspx?Data=2) reports load factors (passenger-miles as a percentage of available seatmiles) for commercial airlines for every month from 2000 through May 2016. Here are histograms and summary statistics for the domestic and international load factors for this time period:

Compare and contrast the distributions.

Chapter 4, Problem 1E, Load factors 2016 The Research and Innovative Technology Administration of the Bureau of , example  1

Chapter 4, Problem 1E, Load factors 2016 The Research and Innovative Technology Administration of the Bureau of , example  2

Expert Solution & Answer
Check Mark
To determine

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

Explanation of Solution

Given info:

The data represents the histogram and summary statistics for the load factors of domestic and international commercial airlines for every month from 2000 through May 2016.

Justification:

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 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 left.

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

The median of the domestic load factor is 80.07 and the median of the international load factor is 78.86, the inter quartile range of the domestic load factor is 9.53 and the inter quartile range of the international load factor is 6.24.

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.
  • Inter quartile 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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Chapter 4 Solutions

Intro Stats, Books a la Carte Edition (5th Edition)

Ch. 4 - Prob. 8ECh. 4 - Prob. 9ECh. 4 - Exoplanets re-expressed Here are the exoplanet...Ch. 4 - Pizza prices by city (Data in Pizza prices) The...Ch. 4 - Cost of living 2016, selected cities To help...Ch. 4 - Prob. 16ECh. 4 - Prob. 17ECh. 4 - Slalom times 2014 The Mens Giant Slalom skiing...Ch. 4 - Sugar in cereals Sugar is a major ingredient in...Ch. 4 - Tendon transfers People with spinal cord injuries...Ch. 4 - Population growth, 2010 by region (Data in...Ch. 4 - Camp sites Shown below are the histogram and...Ch. 4 - Hospital stays The U.S. National Center for Health...Ch. 4 - Deaths 2014 A National Vital Statistics Report...Ch. 4 - Womens basketball Here are boxplots of the points...Ch. 4 - Prob. 26ECh. 4 - Marriage age In 1975, did men and women marry at...Ch. 4 - Fuel economy and cylinders Describe what these...Ch. 4 - Prob. 29ECh. 4 - Ozone Ozone levels (in parts per billion, ppb)...Ch. 4 - Test scores Three statistics classes all took the...Ch. 4 - Prob. 32ECh. 4 - Graduation? A survey of major universities asked...Ch. 4 - Vineyards Here are summary statistics for the...Ch. 4 - Caffeine A student study of the effects of...Ch. 4 - SAT scores Here are the summary statistics for...Ch. 4 - Prob. 37ECh. 4 - Framingham cholesterol The Framingham Heart Study...Ch. 4 - Prob. 39ECh. 4 - Cloud seeding In an experiment to determine...Ch. 4 - Industrial experiment Engineers at a computer...Ch. 4 - Cholesterol and smoking A study that examined the...Ch. 4 - Prob. 43ECh. 4 - Assets Here is a histogram of the assets (in...Ch. 4 - Prob. 46ECh. 4 - Assets again Here are the same data you saw in...Ch. 4 - Rainmakers The table lists the amounts of rainfall...Ch. 4 - Stereograms Stereograms appear to be composed...Ch. 4 - Stereograms, revisited Because of the skewness of...Ch. 4 - Prob. 51ECh. 4 - Prob. 52E
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