Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 2.2, Problem 26PB
a.
To determine
Describe the shape of the distribution.
b.
To determine
Explain the information that can be obtained from the time plot rather than the information obtained from the histogram.
c.
To determine
Explain the information that can be obtained from the histogram rather than the information obtained from the time plot.
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20 km, because
GISS
Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
Chapter 2 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 2.1 - Categorical/quantitative difference a. Explain the...Ch. 2.1 - U.S. married-couple households According to a...Ch. 2.1 - Identify the variable type Identify each of the...Ch. 2.1 - Categorical or quantitative? Identify each of the...Ch. 2.1 - Discrete/continuous a. Explain the difference...Ch. 2.1 - Discrete or continuous? Identify each of the...Ch. 2.1 - Discrete or continuous 2 Repeat the previous...Ch. 2.1 - Prob. 8PBCh. 2.1 - Fatal Shark Attacks Few of the shark attacks...Ch. 2.2 - Generating Electricity In 2012 in the United...
Ch. 2.2 - What do alligators eat? The bar chart is from a...Ch. 2.2 - Prob. 12PBCh. 2.2 - Prob. 13PBCh. 2.2 - Prob. 14PBCh. 2.2 - Sugar dot plot For the breakfast cereal data given...Ch. 2.2 - Prob. 16PBCh. 2.2 - Graphing exam scores A teacher shows her class the...Ch. 2.2 - Fertility rates The fertility rate for a nation is...Ch. 2.2 - Split Stems The figure below shows the...Ch. 2.2 - Histogram for sugar For the breakfast cereal data,...Ch. 2.2 - Prob. 21PBCh. 2.2 - Prob. 22PBCh. 2.2 - Prob. 23PBCh. 2.2 - Prob. 24PBCh. 2.2 - Prob. 25PBCh. 2.2 - Prob. 26PBCh. 2.2 - Prob. 27PBCh. 2.2 - Warming in Newnan, Georgia? Access the Newnan, GA...Ch. 2.3 - Median versus mean For each of the following...Ch. 2.3 - Prob. 30PBCh. 2.3 - Prob. 31PBCh. 2.3 - Resistance to an outlier Consider the following...Ch. 2.3 - Income and health insurance According to the U.S....Ch. 2.3 - Prob. 34PBCh. 2.3 - Prob. 35PBCh. 2.3 - Prob. 36PBCh. 2.3 - Public transportationcenter The owner of a company...Ch. 2.3 - Prob. 38PBCh. 2.3 - Prob. 39PBCh. 2.3 - European fertility The European fertility rates...Ch. 2.3 - Sex partners A recent General Social Survey asked...Ch. 2.3 - Prob. 43PBCh. 2.3 - Prob. 44PBCh. 2.3 - Prob. 45PBCh. 2.4 - Sick leave A company decides to investigate the...Ch. 2.4 - Prob. 47PBCh. 2.4 - Prob. 48PBCh. 2.4 - Prob. 49PBCh. 2.4 - Exam standard deviation For an exam given to a...Ch. 2.4 - Heights For the sample heights of Georgia college...Ch. 2.4 - Histograms and standard deviation The figure shows...Ch. 2.4 - Female strength The High School Female Athletes...Ch. 2.4 - Female body weight The College Athletes data file...Ch. 2.4 - Shape of cigarette taxes A recent summary for the...Ch. 2.4 - Empirical rule and skewed, highly discrete...Ch. 2.4 - How much TV? The 2012 General Social Survey asked,...Ch. 2.4 - How many friends? A recent General Social Survey...Ch. 2.4 - Judging skew using x and s If the largest...Ch. 2.4 - Youth unemployment in the EU The Youth...Ch. 2.4 - Create data with a given standard deviation Use...Ch. 2.5 - Vacation days National Geographic Traveler...Ch. 2.5 - Youth unemployment In recent years, many European...Ch. 2.5 - Female strength The High School Female Athletes...Ch. 2.5 - Female body weight The College Athletes data file...Ch. 2.5 - Ways to measure variability The standard...Ch. 2.5 - Variability of cigarette taxes Heres the...Ch. 2.5 - Prob. 68PBCh. 2.5 - Infant mortality Africa The Human Development...Ch. 2.5 - Prob. 70PBCh. 2.5 - Computer use During a recent semester at the...Ch. 2.5 - Central Park temperature distribution revisited...Ch. 2.5 - Box plot for exam The scores on an exam have mean...Ch. 2.5 - Public transportation Exercise 2.37 described a...Ch. 2.5 - Prob. 75PBCh. 2.5 - Prob. 76PBCh. 2.5 - Prob. 77PBCh. 2.5 - Prob. 78PBCh. 2.5 - Prob. 79PBCh. 2.5 - Prob. 80PBCh. 2.5 - Prob. 81PBCh. 2.5 - Prob. 82PBCh. 2.6 - Great pay (on the average) The six full-time...Ch. 2.6 - Prob. 84PBCh. 2.6 - Prob. 85PBCh. 2.6 - Terrorism and war in Iraq In 2004, a college...Ch. 2.6 - Prob. 87PBCh. 2.6 - Prob. 88PBCh. 2 - Categorical or quantitative? Identify each of the...Ch. 2 - Continuous or discrete? Which of the following...Ch. 2 - Prob. 92CPCh. 2 - Cool in China A recent survey8 asked 1200...Ch. 2 - Prob. 94CPCh. 2 - Prob. 95CPCh. 2 - Prob. 96CPCh. 2 - Prob. 97CPCh. 2 - Prob. 98CPCh. 2 - Prob. 99CPCh. 2 - Prob. 100CPCh. 2 - Prob. 101CPCh. 2 - Prob. 103CPCh. 2 - Household net worth A study reported that in 2007...Ch. 2 - Prob. 105CPCh. 2 - Prob. 106CPCh. 2 - Prob. 107CPCh. 2 - Central Park monthly temperatures The MINITAB...Ch. 2 - Prob. 109CPCh. 2 - Female heights According to a recent report from...Ch. 2 - Energy and water consumption In parts a and b,...Ch. 2 - Prob. 112CPCh. 2 - More hurricane damage Refer to the previous...Ch. 2 - Prob. 114CPCh. 2 - Prob. 115CPCh. 2 - Prob. 116CPCh. 2 - Prob. 117CPCh. 2 - Temperatures in Central Park Access the Central...Ch. 2 - Teachers salaries According to Statistical...Ch. 2 - Prob. 120CPCh. 2 - What box plot do you expect? For each of the...Ch. 2 - Prob. 122CPCh. 2 - Prob. 123CPCh. 2 - Prob. 124CPCh. 2 - Prob. 125CPCh. 2 - Who was Roger Maris? Roger Maris, who spent most...Ch. 2 - Baseballs great home run hitters The Baseballs HR...Ch. 2 - Prob. 128CPCh. 2 - Controlling asthma A study of 13 children...Ch. 2 - Prob. 130CPCh. 2 - Youth unemployment by gender The side-by-side box...Ch. 2 - You give examples Give an example of a variable...Ch. 2 - Political conservatism and liberalism Where do...Ch. 2 - Mode but not median and mean The previous exercise...Ch. 2 - Multiple choice: GRE scores In a study of graduate...Ch. 2 - Multiple choice: Fact about s Which statement...Ch. 2 - Prob. 137CPCh. 2 - True or false: a. The mean, median, and mode can...Ch. 2 - Bad statistic A teacher summarizes grades on an...Ch. 2 - True or false: Soccer According to a story in the...Ch. 2 - Mean for grouped data Refer to the calculation of...Ch. 2 - Prob. 142CPCh. 2 - Range and standard deviation approximation Use the...Ch. 2 - Range the least resistant Weve seen that measures...Ch. 2 - Using MAD to measure variability The standard...Ch. 2 - Prob. 146CPCh. 2 - Create own data For the Mean Versus Median web...
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