Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 1, Problem 19SE
The article “The Ball-on-Three-Ball Test for Tensile Strength: Refined Methodology and Results for Three Hohokam Ceramic Types” (M. Beck, American Antiquity, 2002:558–569) discusses the strength of ancient ceramics. Several specimens of each of three types of ceramic were tested. The loads (in kg) required to crack the specimens are as follows:
| Ceramic Type | Loads (kg) |
| Sacaton | 15, 30, 51, 20, 17, 19, 20, 32, 17, 15, 23, 19, 15, 18, 16, 22, 29, 15, 13, 15 |
| Gila Plain | 27, 18, 28, 25, 55, 21, 18, 34, 23, 30, 20, 30, 31, 25, 28, 26, 17, 19, 16, 24, 19, 9, 31, 19, 27, 20, 43, 15 |
| Casa Grande | 20, 16, 20, 36, 27, 35, 66, 15, 18, 24, 21, 30, 20, 24, 23, 21, 13, 21 |
- a. Construct comparative boxplots for the three samples.
- b. How many outliers does each sample contain?
- c. Comment on the features of the three samples.
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Students have asked these similar questions
The article " The Ball-on-Three-Ball Test for Tensile Strength: Refined Methodology and
Results for Three Hohokam Ceramic Types" (M. Beck, American Antiquity, 2002:558-569)
discusses the strength of ancient ceramics. Several specimens of each of three types of
ceramic were tested. The loads (in kg) required to caack the specimens are as follows:
Ceramic
Loads (kg)
Type
Sacaton 15, 30, 51, 20, 17, 19, 20, 32, 17, 15, 23, 19, 15, 18,
16, 22, 29, 15, 13, 15
27, 18, 28, 25, 55, 21, 18, 34, 23, 30, 20, 30, 31, 25,
28, 26, 17, 19, 16, 24, 19, 9, 31, 19, 27, 20, 43, 15
20, 16, 20, 36, 27, 35, 66, 15, 18, 24, 21, 30, 20, 24,
Gila
Plain
Casa
Grande 23, 21, 13, 21
Construct comparative boxplots for the three samples.
b. How many outliers does each sample contain?
c Comment on the features of the three samples.
An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on
the unit density (mg/ml) were the die temperature (145 °C vs. 155 °C) and the die diameter (3 mm vs. 4 mm). The results are stored in [Packaging
Foam 1]. Source: Data extracted from W. Y. Koh, K. M. Eskridge, and M. A. Hanna, "Supersaturated Split-Plot Designs," Journal of Quality
Technology, 45, January 2013, pp. 61-72.At the 0.05 level of significance,
3mm 4mm
57.22
145
72.54
145 53.60 66.70
145 48.13
49.28
145 69.89 44.14
145 62.78
58.37
145 55.18
53.98
155 57.50
63.03
155 54.17 46.73
155 73.86 60.17
155 90.28 46.78
155 88.19 43.27
155 82.61 56.93
Die Temperature
a. is there an interaction between die temperature and die diameter?
b. is there an effect due to die temperature?
c. is there an effect due to die diameter?
d. Plot the mean unit density for each die temperature for each die diameter.
e. What can you conclude about the effect of die…
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 70 modern Italian male skulls and 84 preserved Etruscan male skulls was 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, eds., Little, Brown&Co., 1959]
a. Obtain normal probability plots, boxplots, and the standard deviations for the two samples.
b. Based on your results from part (a), which would you be inclined to use to…
Chapter 1 Solutions
Statistics for Engineers and Scientists
Ch. 1.1 - Each of the following processes involves sampling...Ch. 1.1 - If you wanted to estimate the mean height of all...Ch. 1.1 - True or false: a. A simple random sample is...Ch. 1.1 - A sample of 100 college students is selected from...Ch. 1.1 - A certain process for manufacturing integrated...Ch. 1.1 - Refer to Exercise 5. True or false: a. If the...Ch. 1.1 - To determine whether a sample should be treated as...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.2 - True or false: For any list of numbers, half of...
Ch. 1.2 - Is the sample mean always the most frequently...Ch. 1.2 - Is the sample mean always equal to one of the...Ch. 1.2 - Is the sample median always equal to one of the...Ch. 1.2 - Find a sample size for which the median will...Ch. 1.2 - For a list of positive numbers, is it possible for...Ch. 1.2 - Is it possible for the standard deviation of a...Ch. 1.2 - In a certain company, every worker received a...Ch. 1.2 - In another company, every worker received a 5%...Ch. 1.2 - A sample of 100 adult women was taken, and each...Ch. 1.2 - In a sample of 20 men, the mean height was 178 cm....Ch. 1.2 - Each of 16 students measured the circumference of...Ch. 1.2 - Refer to Exercise 12. a. If the measurements for...Ch. 1.2 - There are 10 employees in a particular division of...Ch. 1.2 - Quartiles divide a sample into four nearly equal...Ch. 1.2 - In each of the following data sets, tell whether...Ch. 1.3 - The weather in Los Angeles is dry most of the...Ch. 1.3 - Forty-five specimens of a certain type of powder...Ch. 1.3 - Refer to Table 1.2 (in Section 1.2). Construct a...Ch. 1.3 - Following are measurements of soil concentrations...Ch. 1.3 - A certain reaction was run several times using...Ch. 1.3 - Sketch a histogram for which a. The mean is...Ch. 1.3 - The figure below is a histogram showing the...Ch. 1.3 - The histogram below presents the compressive...Ch. 1.3 - Refer to Table 1.4 (in Section 1.3). a. Using the...Ch. 1.3 - Refer to Table 1.5 (in Section 1.3). a. Using the...Ch. 1.3 - The following table presents the number of...Ch. 1.3 - Which of the following statistics cannot be...Ch. 1.3 - A sample of 100 resistors has an average...Ch. 1.3 - Following are boxplots comparing the amount of...Ch. 1.3 - Following are summary statistics for two data...Ch. 1.3 - Match each histogram to the box plot that...Ch. 1.3 - Prob. 17ECh. 1.3 - Match each scatterplot to the statement that best...Ch. 1.3 - Prob. 19ECh. 1 - A vendor converts the weights on the packages she...Ch. 1 - Refer to Exercise 1. The vendor begins using...Ch. 1 - The specification for the pull strength of a wire...Ch. 1 - A coin is tossed twice and comes up heads both...Ch. 1 - The smallest number on a list is changed from 12.9...Ch. 1 - There are 15 numbers on a list, and the smallest...Ch. 1 - There are 15 numbers on a list, and the mean is...Ch. 1 - The article The Selection of Yeast Strains for the...Ch. 1 - Concerning the data represented in the following...Ch. 1 - True or false: In any boxplot, a. The length of...Ch. 1 - For each of the following histograms, determine...Ch. 1 - In the article Occurrence and Distribution of...Ch. 1 - The article Vehicle-Arrival Characteristics at...Ch. 1 - The cumulative frequency and the cumulative...Ch. 1 - The article Hydrogeochemical Characteristics of...Ch. 1 - Water scarcity has traditionally been a major...Ch. 1 - Prob. 18SECh. 1 - The article The Ball-on-Three-Ball Test for...
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