Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 2.4, Problem 2.5AE
(a)
To determine
To find: The standard deviation of the data.
The changes in the standard deviation when data is multiplied by 2, 3 and 4.
(b)
To determine
To find: The standard deviation of the data.
The changes in the standard deviation when data is divided by 2, 3 and 4.
(c)
To determine
To explain: The changes happens to standard deviation, when the data gets multiplied or divided by a constant, n.
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For each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical).
Month Number (Thousands)Dec 1991 65.60Jan 1992 71.60Feb 1992 78.80Mar 1992 111.60Apr 1992 107.60May 1992 115.20Jun 1992 117.80Jul 1992 106.20Aug 1992 109.90Sep 1992 106.00Oct 1992 111.80Nov 1992 84.50Dec 1992 78.60Jan 1993 70.50Feb 1993 74.60Mar 1993 95.50Apr 1993 117.80May 1993 120.90Jun 1993 128.50Jul 1993 115.30Aug 1993 121.80Sep 1993 118.50Oct 1993 123.30Nov 1993 102.30Dec 1993 98.70Jan 1994 76.20Feb 1994 83.50Mar 1994 134.30Apr 1994 137.60May 1994 148.80Jun 1994 136.40Jul 1994 127.80Aug 1994 139.80Sep 1994 130.10Oct 1994 130.60Nov 1994 113.40Dec 1994 98.50Jan 1995 84.50Feb 1995 81.60Mar 1995 103.80Apr 1995 116.90May 1995 130.50Jun 1995 123.40Jul 1995 129.10Aug 1995…
For each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical).
Year Month Units1 Nov 42,1611 Dec 44,1862 Jan 42,2272 Feb 45,4222 Mar 54,0752 Apr 50,9262 May 53,5722 Jun 54,9202 Jul 54,4492 Aug 56,0792 Sep 52,1772 Oct 50,0872 Nov 48,5132 Dec 49,2783 Jan 48,1343 Feb 54,8873 Mar 61,0643 Apr 53,3503 May 59,4673 Jun 59,3703 Jul 55,0883 Aug 59,3493 Sep 54,4723 Oct 53,164
Chapter 2 Solutions
Statistics (13th Edition)
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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