Statistics
13th Edition
ISBN: 9780135820100
Author: MCCLAVE, James T., Sincich, Terry
Publisher: PEARSON
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Chapter 2.4, Problem 80LM
a.
To determine
Compute
b.
To determine
Compute range, variance and standard deviation for the given sample.
c.
To determine
Compute range, variance and standard deviation for the given sample.
d.
To determine
Compute range, variance and standard deviation for the given sample.
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Question 2
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially
serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer
to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content
(B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and
the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The
data are shown in Table 2.
1
(a) Estimate the factor effects. Which factor effects appear to be large?
(b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05.
(c) Write down a regression model that can be used to predict crack length as a function of the significant
main effects and interactions you have identified in part (b).
(d) Analyze the residuals from this experiment.
(e) Is there an…
A 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data
from this experiment are shown in Table 4.
Table 4: Resistivity Experiment for Exercise 5
Run
A
B
с
D
Resistivity
1
23
2
3
4
5
6
7
8
9
10
11
12
I+I+I+I+Oooo
0
0
||++TI++o000
33.2
4.6
31.2
9.6
40.6
162.4
39.4
158.6
63.4
62.6
58.7
0
0
60.9
3
(a) Estimate the factor effects. Plot the effect estimates on a normal probability scale.
(b) Identify a tentative model for this process. Fit the model and test for curvature.
(c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on
this plot of model inadequacy?
(d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the
normality assumption?
Stem1: 1,4
Stem 2: 2,4,8
Stem3: 2,4
Stem4: 0,1,6,8
Stem5: 0,1,2,3,9
Stem 6: 2,2
What’s the Min,Q1, Med,Q3,Max?
Chapter 2 Solutions
Statistics
Ch. 2.1 - Explain the difference between class frequency,...Ch. 2.1 - Explain the difference between a bar graph and a...Ch. 2.1 - Explain the difference between a bar graph and a...Ch. 2.1 - Complete the following table:
Ch. 2.1 - 2.2 A qualitative variable with three classes (X,...Ch. 2.1 - Study of importance of libraries. In The Canadian...Ch. 2.1 - 2.5 Do social robots walk or roll? A social (or...Ch. 2.1 - Paying for music downloads. If you use the...Ch. 2.1 -
Cheek teeth of extinct primates. The...Ch. 2.1 - Humane education and classroom pets. In grade...
Ch. 2.1 -
Estimating the rhino population. The...Ch. 2.1 - STEM experiences for girls. The National Science...Ch. 2.1 - 2.7 Microsoft program security issues. To help its...Ch. 2.1 - Genealogy research. The Journal of Family History...Ch. 2.1 - Characteristics of ice melt ponds. The National...Ch. 2.1 - Railway track allocation. One of the problems...Ch. 2.1 - Satellites in orbit. According to the Union of...Ch. 2.1 - Curbing street gang gun violence. Operation...Ch. 2.1 - Interactions in a children’s museum. The nature of...Ch. 2.1 - 2.16 Motivation and right-oriented bias....Ch. 2.1 - Do you believe in the Bible? Each year the...Ch. 2.1 - Museum management. What criteria do museums use to...Ch. 2.1 - 2.17 Groundwater contamination in wells. In New...Ch. 2.1 - Extinct New Zealand birds. Refer to the...Ch. 2.2 - Explain the difference between a dot plot and a...Ch. 2.2 - Explain the difference between a bar graph and a...Ch. 2.2 - Explain the difference between the stem and the...Ch. 2.2 - In a histogram, what are the class intervals?
Ch. 2.2 - How many classes are recommended in a histogram of...Ch. 2.2 - 2.21 Minitab was used to generate the following...Ch. 2.2 - 2.20 Consider the stem-and-leaf display shown...Ch. 2.2 - 2.18 Graph the relative frequency histogram for...Ch. 2.2 - 2.19 Refer to Exercise 2.18. Calculate the number...Ch. 2.2 - Irrelevant speech effects. In a psychological...Ch. 2.2 - Stability of compounds in new drugs. Testing the...Ch. 2.2 - 2.23 Corporate sustainability of CPA firms. Refer...Ch. 2.2 - Shaft graves in ancient Greece. Archeologists have...Ch. 2.2 - Cheek teeth of extinct primates. Refer to the...Ch. 2.2 - Music performance anxiety. The nature of...Ch. 2.2 - Is honey a cough remedy? Does a teaspoon of honey...Ch. 2.2 - Sanitation inspection of cruise ships. To minimize...Ch. 2.2 - Crab spiders hiding on flowers. Crab spiders use...Ch. 2.2 - Sound waves from a basketball. An experiment was...Ch. 2.2 - Research on eating disorders. Data from a...Ch. 2.2 - Research on brain specimens. The postmortem...Ch. 2.2 - State SAT scores. Educators are constantly...Ch. 2.2 - 2.33 Phishing attacks to e-mail accounts. Phishing...Ch. 2.2 - Mineral flotation in water study. A high...Ch. 2.3 - Give three different measures of central...Ch. 2.3 - Explain the difference between a measure of...Ch. 2.3 - What is the symbol used to represent the sample...Ch. 2.3 - Explain the concept of a skewed distribution.
Ch. 2.3 - What two factors affect the accuracy of the sample...Ch. 2.3 - 2.41 Describe how the mean compares to the median...Ch. 2.3 - 2.35 Calculate the mean and median of the...Ch. 2.3 - 2.39 Calculate the mode, mean, and median of the...Ch. 2.3 - 2.36 Calculate the mean for samples where
n = 10,...Ch. 2.3 - Construct one data set consisting of five...Ch. 2.3 - 2.40 Calculate the mean, median, and mode for each...Ch. 2.3 - Use the applet entitled Mean versus Median to find...Ch. 2.3 - Use the applet Mean versus Median to illustrate...Ch. 2.3 - Use the applet Mean versus Median to study the...Ch. 2.3 - Prob. 60ACBCh. 2.3 - Characteristics of a rock fall. In Environmental...Ch. 2.3 - Music performance anxiety. Refer to the British...Ch. 2.3 - Corporate sustainability of CPA firms. Refer to...Ch. 2.3 - 2.49 Is honey a cough remedy? Refer to the...Ch. 2.3 - Check teeth of extinct primates. Refer to the...Ch. 2.3 - 2.52 Ranking driving performance of professional...Ch. 2.3 - 2.51 Symmetric or skewed? Would you expect the...Ch. 2.3 - Mongolian desert ants. The Journal of Biogeography...Ch. 2.3 - Permeability of sandstone during weathering....Ch. 2.3 - Mineral flotation in water study. Refer to the...Ch. 2.3 - Contact lenses for myopia. Myopia (i.e.,...Ch. 2.3 - Active nuclear power plants. The U.S. Energy...Ch. 2.4 - What is the range of data set?
Ch. 2.4 - Prob. 74UPCh. 2.4 - Prob. 75UPCh. 2.4 - Prob. 76UPCh. 2.4 - Prob. 77UPCh. 2.4 - 2.58 Calculate the variance and standard deviation...Ch. 2.4 - Prob. 79LMCh. 2.4 - Prob. 80LMCh. 2.4 - 2.62 Using only integers between 0 and 10,...Ch. 2.4 - Prob. 82LMCh. 2.4 - 2.63 Consider the following sample of five...Ch. 2.4 - Prob. 84LMCh. 2.4 - Use the applet entitled Standard Deviation to find...Ch. 2.4 - Use the applet Standard Deviation to study the...Ch. 2.4 - Use the applet Standard Deviation to study the...Ch. 2.4 - Shell lengths of sea turtles. Aquatic Biology...Ch. 2.4 - Shaft graves in ancient Greece. Refer to the...Ch. 2.4 - Music performance anxiety. Refer to the British...Ch. 2.4 - Characteristics of a rockfall. Refer to the...Ch. 2.4 - 2.68 Is honey a cough remedy? Refer to the...Ch. 2.4 - 2.65 Permeability of sandstone during weathering....Ch. 2.4 - Check teeth of extinct primates. Refer to the...Ch. 2.4 - 2.69 Active nuclear power plants. Refer to...Ch. 2.5 - To what kind of data sets can Chebyshev’s rule be...Ch. 2.5 - Prob. 94UPCh. 2.5 - Prob. 95UPCh. 2.5 - 2.72 For any set of data, what can be said about...Ch. 2.5 - 2.73 For a set of data with a mound-shaped...Ch. 2.5 - 2.74 The following is a sample of 25...Ch. 2.5 - 2.75 Given a data set with a largest value of 760...Ch. 2.5 - 2.78 Do social robots walk or roll? Refer to the...Ch. 2.5 - Sanitation inspection of cruise ships. Refer to...Ch. 2.5 - 2.80 Motivation of drug dealers. Consider a study...Ch. 2.5 - Dentists’ use of anesthetics. A study published in...Ch. 2.5 - Irrelevant speech effects. Refer to the Acoustical...Ch. 2.5 - Corporate sustainability of CPA firms. Refer to...Ch. 2.5 - Characteristics of antiwar demonstrators. The...Ch. 2.5 - Hand washing versus hand rubbing. As an...Ch. 2.5 - Velocity of Winchester bullets. The American...Ch. 2.5 - 2.77 Permeability of sandstone during weathering....Ch. 2.5 - 2.85 Shopping vehicle and judgment. While shopping...Ch. 2.5 - Animal-assisted therapy for heart patients. A...Ch. 2.5 - 2.87 Land purchase decision. A buyer for a lumber...Ch. 2.6 - For a quantitative data set
What is the 50th...Ch. 2.6 - 2.91 Give the percentage of measurements in a data...Ch. 2.6 - Prob. 116UPCh. 2.6 - 2.90 Compute the z-score corresponding to each of...Ch. 2.6 - Prob. 118LMCh. 2.6 - 2.94 Suppose that 40 and 90 are two elements of a...Ch. 2.6 - Math scores of twelfth graders. According to the...Ch. 2.6 - Drivers stopped by police. According to the Bureau...Ch. 2.6 - Stability of compounds in new drugs. Refer to the...Ch. 2.6 - Sanitation inspection of cruise ships. Refer to...Ch. 2.6 - Motivation of drug dealers. Refer to the Applied...Ch. 2.6 - 2.99 Lead in drinking water. The U.S....Ch. 2.6 - 2.96 Voltage sags and swells. Refer to the...Ch. 2.6 - 2.102 Blue- vs. red-colored exam study. In a study...Ch. 2.6 - 2.103 Ranking PhD programs in economics. Thousands...Ch. 2.6 - 2.105 Ranking PhD programs in economics (cont’d)....Ch. 2.6 - 2.104 Using z-scores for grades. At one...Ch. 2.7 - What is the interquartile range?
Ch. 2.7 - What are the hinges of a box plot?
Ch. 2.7 - With mound-shaped data, what proportion of the...Ch. 2.7 - Define an outlier.
Ch. 2.7 - 2.107 Suppose a data set consisting of exam scores...Ch. 2.7 - 2.108 Consider the horizontal box plot shown...Ch. 2.7 - 2.106 A sample data set has a mean of 57 and a...Ch. 2.7 - Consider the following sample data set. Construct...Ch. 2.7 - Consider the following sample data set.
Construct...Ch. 2.7 - Use the applet Standard Deviation to determine...Ch. 2.7 - Blond hair types in the Southwest Pacific. A...Ch. 2.7 - Dentists’ use of anesthetics. Refer to the Current...Ch. 2.7 - Research on brain specimens. Refer to the Brain...Ch. 2.7 - Prob. 144ACBCh. 2.7 - Prob. 145ACBCh. 2.7 - 2.112 Treating psoriasis with the “Doctorfish of...Ch. 2.7 - Sanitation Inspection of cruise ships. Refer to...Ch. 2.7 - Prob. 148ACICh. 2.7 - Prob. 149ACICh. 2.7 - Is honey a cough remedy? Refer to the Archives of...Ch. 2.7 - 2.119 Permeability of sandstone during weathering....Ch. 2.7 - Library book checkouts. A city librarian claims...Ch. 2.7 - Untutored second language acquisition. A student...Ch. 2.8 - Define a bivariate relationship.
Ch. 2.8 - Prob. 155UPCh. 2.8 - Prob. 156UPCh. 2.8 - Prob. 157LMCh. 2.8 - Prob. 158LMCh. 2.8 - Prob. 159ACBCh. 2.8 - Prob. 160ACBCh. 2.8 - Prob. 161ACBCh. 2.8 - Feeding behavior of fish. The feeding behavior of...Ch. 2.8 - New method for blood typing. In Analytical...Ch. 2.8 - Prob. 164ACICh. 2.8 - Plants that grow on Swiss cliffs. A rare plant...Ch. 2.8 - Prob. 166ACICh. 2.8 - Prob. 168ACACh. 2.8 - Ranking driving performance of professional...Ch. 2.9 - Museum management. Refer to the Museum Management...Ch. 2.9 - Trend in Iraq War casualties. While the United...Ch. 2.9 - 2.138 BP oil leak. In the summer of 2010, an...Ch. 2.9 - Irrelevant speech effects. Refer to the Acoustical...Ch. 2 - Prob. 174UPCh. 2 - 2.140 Discuss the conditions under which the...Ch. 2 - Prob. 176UPCh. 2 - Prob. 177UPCh. 2 - Prob. 178UPCh. 2 - Prob. 179LMCh. 2 - Prob. 180LMCh. 2 - Prob. 181LMCh. 2 - Prob. 182LMCh. 2 - Prob. 183LMCh. 2 - For each of the data sets in parts a–d, compute ,...Ch. 2 - Prob. 185LMCh. 2 - Prob. 186ACBCh. 2 - Prob. 187ACBCh. 2 - Reading Japanese books. Refer to Exercise 2.187....Ch. 2 - Prob. 189ACBCh. 2 - Crash tests on new cars. Each year, the National...Ch. 2 - Crash tests on new cars. Refer to Exercise 2.190...Ch. 2 - Estimating the age of glacial drifts. Tills are...Ch. 2 - Training zoo animals. “The Training Game” is an...Ch. 2 - Groundwater contamination in wells. Refer to the...Ch. 2 - Sociology fieldwork methods. University of New...Ch. 2 - Radioactive lichen. Lichen has a high absorbance...Ch. 2 - 2.88 Improving SAT scores. The National Education...Ch. 2 - Ammonia in car exhaust. Three-way catalytic...Ch. 2 - College protests of labor exploitation. The United...Ch. 2 - Speed of light front galaxies. Astronomers...Ch. 2 - Whistling dolphins. Marine scientists who study...Ch. 2 - Sentence complexity study. A study published in...Ch. 2 - Prob. 203ACICh. 2 - Archaeologists’ study of ring diagrams....Ch. 2 - Oil spill impact on seabirds. The Journal of...Ch. 2 - Benford’s Law of Numbers. According to Benford’s...Ch. 2 - Speed of light from galaxies. Refer to The...Ch. 2 - Standardized test “average.” U.S. News & World...Ch. 2 - Zinc phosphide in pest control. A chemical company...Ch. 2 - Grades in statistics. The final grades given by...Ch. 2 - Salaries of professional athletes. The salaries of...Ch. 2 - 2.170 No Child Left Behind Act. According to the...Ch. 2 - The Hite Report. Researcher Shere Hite shocked...
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