APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 4, Problem 4CR
List strengths and weaknesses of each measure of center and write its Excel
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Twenty-eight applicants interested in working for the Food Stamp program took an examination designed
to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the
first column is the count per branch, the second column is the stem value, and the remaining digits are the
leaves.
a) List all the values.
Count
1
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4
6
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4
6
567
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3688
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9
8
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b) Calculate the first quartile (Q1) and the third Quartile (Q3).
c) Calculate the interquartile range.
d) Construct a boxplot for this data.
Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Chapter 4 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 4.2 - (a) For each data set, find the mean, median, and...Ch. 4.2 - For each data set, is the mode a good measure of...Ch. 4.2 - For each data set, is the mode a good measure of...Ch. 4.2 - For each data set, which best indicates a typical...Ch. 4.2 - For each data set, which best indicates a typical...Ch. 4.2 - Days on the market are shown for the 36 most...Ch. 4.2 - Scores are shown for the most recent state civil...Ch. 4.2 - A vehicle emissions testing facility can process...Ch. 4.2 - CitiBank recorded the number of customers to use a...Ch. 4.2 - Prob. 10SE
Ch. 4.2 - Prob. 11SECh. 4.2 - Prob. 12SECh. 4.2 - (a) Write the Excel function for the 10 percent...Ch. 4.2 - Prob. 14SECh. 4.2 - Prob. 15SECh. 4.2 - Spirit Airlines kept track of the number of empty...Ch. 4.2 - CitiBank recorded the number of customers to use a...Ch. 4.2 - On Friday night, the owner of Chez Pierre in...Ch. 4.2 - Prob. 19SECh. 4.2 - The number of internet users in Latin America grew...Ch. 4.3 - (a) Find the mean and standard deviation for each...Ch. 4.3 - For each data set: (a) Find the mean. (b) Find the...Ch. 4.3 - In fuel economy tests in city driving conditions,...Ch. 4.3 - Over the past month, Bobs bowling score mean was...Ch. 4.3 - Prob. 25SECh. 4.3 - Prob. 26SECh. 4.3 - (a) Find the coefficient of variation for prices...Ch. 4.3 - Prob. 28SECh. 4.3 - Noodles and Company tested consumer reaction to...Ch. 4.4 - (a) By Chebyshevs Theorem, at least how many...Ch. 4.4 - An exam has a mean of 70 with a standard deviation...Ch. 4.4 - Prob. 32SECh. 4.4 - The mean collection period for accounts receivable...Ch. 4.4 - Convert each individual data value to a...Ch. 4.4 - Prob. 35SECh. 4.4 - Prob. 36SECh. 4.4 - Find the original data value corresponding to each...Ch. 4.4 - CitiBank recorded the number of customers to use a...Ch. 4.4 - Prob. 39SECh. 4.5 - Scores on an accounting exam ranged from 42 to 96,...Ch. 4.5 - In 2007, total compensation (in thousands of...Ch. 4.5 - Waiting times (minutes) for a table at Joeys BBQ...Ch. 4.5 - Coffee temperatures (degrees Fahrenheit) at a...Ch. 4.5 - Prob. 44SECh. 4.5 - On San Martin Boulevard, embedded sensors kept...Ch. 4.5 - Prob. 46SECh. 4.5 - Prob. 47SECh. 4.6 - For each X-Y data set (n = 12): (a) Make a scatter...Ch. 4.6 - Closing prices of two stocks are recorded for 50...Ch. 4.6 - Prob. 50SECh. 4.6 - Prob. 51SECh. 4.7 - Estimate the mean from this table of grouped data...Ch. 4.7 - Estimate the mean from the following table of...Ch. 4 - What are descriptive statistics? How do they...Ch. 4 - Explain each concept: (a) center, (b) variability,...Ch. 4 - Prob. 3CRCh. 4 - List strengths and weaknesses of each measure of...Ch. 4 - Prob. 5CRCh. 4 - (a) What is a bimodal distribution? (b) Explain...Ch. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - (a) Which standard deviation formula (population,...Ch. 4 - (a) To what kind of data does Chebyshevs Theorem...Ch. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - (a) Explain the method of medians for calculating...Ch. 4 - (a) What is a box plot? What does it tell us? (b)...Ch. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - (a) What is kurtosis? (b) Sketch a platykurtic...Ch. 4 - Prob. 54CECh. 4 - If the mean asset turnover for retail firms is...Ch. 4 - Prob. 56CECh. 4 - During a rock concert, the noise level (in...Ch. 4 - Bags of jelly beans have a mean weight of 396 gm...Ch. 4 - Based on experience, the Ball Corporations...Ch. 4 - SAT scores for the entering class of 2010 at...Ch. 4 - Prob. 61CECh. 4 - The average time a Boulder High varsity lacrosse...Ch. 4 - Prob. 63CECh. 4 - Below are monthly rents paid by 30 students who...Ch. 4 - How many days in advance do travelers purchase...Ch. 4 - The durations (minutes) of 26 electric power...Ch. 4 - The U.S. Postal Service will ship a Priority Mail...Ch. 4 - Prob. 68CECh. 4 - Prob. 69CECh. 4 - Prob. 70CECh. 4 - Prob. 71CECh. 4 - A plumbing suppliers mean monthly demand for vinyl...Ch. 4 - Prob. 73CECh. 4 - Analysis of investment portfolio returns over a...Ch. 4 - Prob. 75CECh. 4 - Caffeine content in a 5-ounce cup of brewed coffee...Ch. 4 - Prob. 77CECh. 4 - Prob. 78CECh. 4 - Prob. 79CECh. 4 - Prob. 80CECh. 4 - Prob. 81CECh. 4 - Prob. 82CECh. 4 - Prob. 83CECh. 4 - The median waiting time for a liver transplant in...Ch. 4 - A small suburban community agreed to purchase...Ch. 4 - A companys contractual trigger point for a union...Ch. 4 - Prob. 87CECh. 4 - (a) Enter the Excel function...Ch. 4 - Note: In each of the following tables, the upper...Ch. 4 - This table shows the distribution of winning times...Ch. 4 - The self-reported number of hours worked per week...Ch. 4 - How long does it take to fly from Denver to...Ch. 4 - (a) Make an Excel scatter plot of X = 1990 assault...Ch. 4 - (a) Make an Excel scatter plot of X = airspeed...Ch. 4 - Prob. 97CECh. 4 - (a) Make an Excel scatter plot of X = weekly...Ch. 4 - Prob. 99CECh. 4 - Prob. 1ERQCh. 4 - Which is not an ethical obligation of a...Ch. 4 - Prob. 3ERQCh. 4 - Prob. 4ERQCh. 4 - Give the type of measurement (nominal, ordinal,...Ch. 4 - Prob. 6ERQCh. 4 - To choose a sample of 12 students from a...Ch. 4 - Which of the following is not a reason for...Ch. 4 - Which statement is correct? Why not the others? a....Ch. 4 - Prob. 10ERQCh. 4 - The management of a theme park obtained a random...Ch. 4 - Which one of the following is true? Why not the...Ch. 4 - Prob. 13ERQCh. 4 - Prob. 14ERQCh. 4 - Here are the ages of a random sample of 20 CEOs...Ch. 4 - Prob. 16ERQCh. 4 - Prob. 17ERQCh. 4 - Prob. 18ERQCh. 4 - Which is not a characteristic of using a log scale...
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- Theorem 2.6 (The Minkowski inequality) Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and E|Y P <00. Then X+YpX+Yparrow_forwardTheorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and set Var X = 0². Then, for 0 0, P(X > x) ≤e-x+1²² P(|X|>x) ≤2e-1x+1²² (ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for x > 0. and 0x) ≤2 exp Σ k=1 (iii) If, in addition, X1, X2, X, are identically distributed, then P(S|x) ≤2 expl-tx+nt²o).arrow_forwardTheorem 5.1 (Jensen's inequality) state without proof the Jensen's Ineg. Let X be a random variable, g a convex function, and suppose that X and g(X) are integrable. Then g(EX) < Eg(X).arrow_forward
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