Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Textbook Question
Chapter 1.2, Problem 8E
An article in Archaeometry presented an analysis of 26 samples of Romano–British pottery, found at four different kiln sites in the United Kingdom. The percentage of aluminum oxide in each of the 26 samples is given below:
Source: A. Tubb, A. J. Parker, and G. Nickless, “The Analysis of Romano–British Pottery by Atomic Absorption Spectrophotometry,” Archaeometry 22 (1980): 153.
- a Construct a relative frequency histogram to describe the aluminum oxide content of all 26 pottery samples.
- b What unusual feature do you see in this histogram? Looking at the data, can you think of an explanation for this unusual feature?
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b) The stem and leaf below show the amount of magnesium found in a brand of bottled
water in milligrams.
Exhibit 1
Stem-and-Leaf Display: Amount of Magnesium
Leaf Unit
0.1
N = a
3
345
11
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11237
2
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i.
What advantage does preparing a stem and leaf diagram have over grouping a data set
using a grouped frequency distribution?
Find the value of a and b
What is the largest value in the dataset?
What the is median of the data displayed?
ii.
iii.
iv.
V.
What is the mode of the distribution?
1.7 Fisher's irises: Sir Ronald Aylmer Fisher was an English statistician, evolutionary biologist, and geneticist who worked on a data set that contained sepal length and width, and petal length and width from three species of iris flowers (setosa, versicolor and virginica). There were 58 flowers from each species in the data set.
a) How many cases were included in the data? b) How many numerical variables are included in the data? Indicate what they are, and if they are continuous or discrete.
Four continuous variables: sepal length, sepal width, petal length, and petal width
Two discrete variables: sepal and petal
Two continuous variables: length and width
Four discrete variables: sepal length, sepal width, petal length, and petal width
c) How many categorical variables are included in the data, and what are they? List the corresponding levels (categories).
Three categorical variables: setosa, versicolor, and virginica
Two categorical variables: species (levels: setosa,…
Chapter 1 Solutions
Mathematical Statistics with Applications
Ch. 1.1 - For each of the following situations, identify the...Ch. 1.2 - Are some cities more windy than others? Does...Ch. 1.2 - Of great importance to residents of central...Ch. 1.2 - The top 40 stocks on the over-the-counter (OTC)...Ch. 1.2 - Given here is the relative frequency histogram...Ch. 1.2 - The relative frequency histogram given next was...Ch. 1.2 - The self-reported heights of 105 students in a...Ch. 1.2 - An article in Archaeometry presented an analysis...Ch. 1.3 - Resting breathing rates for college-age students...Ch. 1.3 - It has been projected that the average and...
Ch. 1.3 - The following results on summations will help us...Ch. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Refer to Exercise 1.3 and repeat parts (a) and (b)...Ch. 1.3 - Refer to Exercise 1.4 and repeat parts (a) and (b)...Ch. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - The manufacturer of a new food additive for beef...Ch. 1 - Prove that the sum of the deviations of a set of...Ch. 1 - The mean duration of television commercials is 75...Ch. 1 - Aqua running has been suggested as a method of...Ch. 1 - The following data give the lengths of time to...Ch. 1 - Prob. 26SECh. 1 - Prob. 27SECh. 1 - The discharge of suspended solids from a phosphate...Ch. 1 - Prob. 29SECh. 1 - Compared to their stay-at-home peers, women...Ch. 1 - Prob. 31SECh. 1 - Prob. 32SECh. 1 - Prob. 33SECh. 1 - Prob. 34SECh. 1 - Prob. 35SECh. 1 - Prob. 36SECh. 1 - Prob. 37SECh. 1 - Prob. 38SE
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