Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q 3.82. (page 115)

In each Exercises 3.82-3.90, use the technology of your choice to determine and interpret the range and sample standard deviation for those data sets to which those concepts apply. If those concepts don't apply, explain why. Note: If an exercise contains more than one data set, perform the aforementioned tasks for each data set.

Japanese Vehicle Exports. The Japan Automobile Manufacturer's Association provides data on exported vehicles in Motor Vehicle Statistics of Japan. In 2010, cars, trucks, and buses constituted 88.3%, 9.3%, and 2.4% of vehicle exports, respectively. A random sample of last year's exports yielded the vehicle-type data on the WeissStats site.

Short Answer

Expert verified

The range and standard deviation for the given data can not be found.

Step by step solution

01

Step 1. Given information.

The given statement is:

Cars, trucks, and buses accounted for 88.3%, 9.3%, and 2.4 percent of vehicle exports, respectively, in 2010.

02

Step 2. Determine the data's range and standard deviation.

Range=max-min

Standard Deviation:

role="math" localid="1653033128528" s=∑xi2-∑xi2/nn-1

Finding the range and standard deviation is not possible for this data.

Because the categories are bus, automobile, and truck, the variable of vehicle type is a qualitative variable.

And to be able to find the range and standard deviation requires the numerical data, and hence a quantitative variable, for the provided data set.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Identify by name three important groups of percentiles .

The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70modern Italian male skulls and that of 84preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, "The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones." In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O'Connor, cds., Littlc, Brown \& Co., 1959]

The data set has size 40. Approximately how many observations lie within two standard deviations to either side of the mean?

A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6°FThe results of the study by P. Mackowiak et al. appeared in the article "A Critical Appraisal of 98.6°Fthe Upper Limit of the Normal Body Temperature, and Other Legacies of Carl Reinhold August Wunderlich" (Journal of the American Medical Association ). Among other data, the researchers obtained the body temperatures of 93healthy humans. The temperatures had a mean of 98.1°Fand a standard deviation of 0.65°F

a. Construct a graph
b. Apply Chebyshev's rule with k=2 to make pertinent statements about the observations in the sample.
c. Repeat part (b) with k=3

Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level-high, mid, or low-and then three magazines were randomly selected from each level. From each magazine, six advertisements were randomly chosen and examined for readability. In this particular case, readability was characterized by the numbers of words, sentences, and words of three syllables or more in each ad. The researchers published their findings in the article "Readability Levels of Magazine Ads" (Journal of Adrertiving Reseanch, Vol. 21,No.5,pp.45-51). The number of words of three syllables or more in each ad are provided on the Weissstats site.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free