Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 7.4, Problem 52UP
To determine
To explain: The sampling distribution of population proportion
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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?
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+Yp
Chapter 7 Solutions
Statistics (13th Edition)
Ch. 7.2 - Define the target parameter.
Ch. 7.2 - What is the confidence coefficient in a 90%...Ch. 7.2 - 6.7 Explain the difference between an interval...Ch. 7.2 - 6.6 Explain what is meant by the statement, “We...Ch. 7.2 - 6.9 Will a large-sample confidence interval be...Ch. 7.2 - What conditions are required to form a valid...Ch. 7.2 - Find zα/2 for each of the following:
α = .10
α =...Ch. 7.2 - What is the confidence level of each of the...Ch. 7.2 - A random sample of n measurements was selected...Ch. 7.2 - 6.4 A random sample of 90 observations produced a...
Ch. 7.2 - A random sample of 100 observations from a...Ch. 7.2 - 6.8 The mean and standard deviation of a random...Ch. 7.2 - Use the applet entitled Confidence Intervals for a...Ch. 7.2 - Use the applet Confidence Intervals for a Mean...Ch. 7.2 - 6.10 Heart rate variability of police officers....Ch. 7.2 - Irrelevant speech effects. Refer to the Acoustical...Ch. 7.2 - Latex allergy in health care workers. Health care...Ch. 7.2 - Lipid profiles of hypertensive patients. People...Ch. 7.2 - Motivation of drug dealers. Refer to the Applied...Ch. 7.2 - Corporate sustainability of CPA firms. Corporate...Ch. 7.2 - Prob. 19ACBCh. 7.2 - Evaporation from swimming pools. A new formula for...Ch. 7.2 - 6.20 Facial structure of CEOs. In Psychological...Ch. 7.2 - 6.16 Shopping on Black Friday. The day after...Ch. 7.2 - Prob. 23ACICh. 7.2 - Prob. 24ACICh. 7.2 - Prob. 25ACICh. 7.2 - Speed training in football. Researchers at...Ch. 7.2 - Prob. 27ACACh. 7.2 - Prob. 28ACACh. 7.3 - State the two problems (and corresponding...Ch. 7.3 - Compare the shapes of the z- and t-distributions.
Ch. 7.3 - 6.24 Explain the differences in the sampling...Ch. 7.3 - Use the applet Confidence Intervals for a Mean...Ch. 7.3 - Use the applet Confidence Intervals for a Mean...Ch. 7.3 - Suppose you have selected a random sample of n = 7...Ch. 7.3 - Let t0 be a specific value of t. Use technology or...Ch. 7.3 - Let t0 be a particular value of t. Use technology...Ch. 7.3 - 6.27 The following random sample was selected from...Ch. 7.3 - 6.28 The following sample of 16 measurements was...Ch. 7.3 - Music performance anxiety. Refer to the British...Ch. 7.3 - Giraffes have excellent vision. Due to habitat,...Ch. 7.3 - Radon exposure in Egyptian tombs. Many ancient...Ch. 7.3 - Rainfall and desert ants. Refer to the Journal of...Ch. 7.3 - 6.29 Lobster trap placement. An observational...Ch. 7.3 - Shell lengths of sea turtles. Refer to the Aquatic...Ch. 7.3 - Duration of daylight in western Pennsylvania. What...Ch. 7.3 - 6.31 Do social robots walk or roll? Refer to the...Ch. 7.3 - Pitch memory of amusiacs. A team of psychologists...Ch. 7.3 - Shaft graves in ancient Greece. Refer to the...Ch. 7.3 - 6.35 Oxygen bubbles in molten salt. Molten salt is...Ch. 7.3 - Prob. 48ACICh. 7.3 - Reproduction of bacteria-infected spider mites....Ch. 7.3 - Antigens for a parasitic roundworm in birds....Ch. 7.3 - Prob. 51ACACh. 7.4 - 6.40 Describe the sampling distribution of based...Ch. 7.4 - Explain the meaning of the phrase “ is an unbiased...Ch. 7.4 - Prob. 54UPCh. 7.4 - Use the applet Confidence Intervals for a...Ch. 7.4 - Use the applet Confidence Intervals for a...Ch. 7.4 - A random sample of size n = 196 yielded .
Is the...Ch. 7.4 - A random sample of size n = 144 yielded .
Is the...Ch. 7.4 - For the binomial sample information summarized in...Ch. 7.4 - A random sample of 50 consumers taste-tested a new...Ch. 7.4 - Paying for music downloads. If you use the...Ch. 7.4 - Interactions in a children’s museum. Refer to the...Ch. 7.4 - Is Starbucks coffee overpriced? The Minneapolis...Ch. 7.4 - Nannies who work for celebrities. The...Ch. 7.4 - National Firearms Survey. Refer to the Harvard...Ch. 7.4 - Are you really being served red snapper? Refer to...Ch. 7.4 - What we do when we are sick at home. USA Today...Ch. 7.4 - Curbing street gang gun violence. Refer to the...Ch. 7.4 - Do social robots walk or roll? Refer to the...Ch. 7.4 - Study of aircraft bird strikes. As worldwide air...Ch. 7.4 - Prob. 69ACICh. 7.4 - Prob. 70ACICh. 7.4 - Prob. 71ACICh. 7.4 - Do you think you smell? If you falsely believe you...Ch. 7.4 - Prob. 73ACACh. 7.5 - How does the sampling error SE compare with the...Ch. 7.5 - True or false. For a specified sampling error SE,...Ch. 7.5 - True or false. For a fixed confidence level (1 −...Ch. 7.5 - Prob. 77LMCh. 7.5 - 6.66 If nothing is known about p. .5 can be...Ch. 7.5 - Suppose you wish to estimate a population mean...Ch. 7.5 - In each case, find the approximate sample size...Ch. 7.5 - The following is a 90% confidence interval for p:...Ch. 7.5 - Prob. 82LMCh. 7.5 - Suppose you wish to estimate the mean of a normal...Ch. 7.5 - Giraffes have excellent vision. Refer to the...Ch. 7.5 - Shaft graves in ancient Greece. Refer to the...Ch. 7.5 - Risk of home burglary in cul-de-sacs. Research...Ch. 7.5 - Prob. 87ACBCh. 7.5 - Aluminum cans contaminated by fire. A gigantic...Ch. 7.5 - Prob. 89ACBCh. 7.5 - Pitch memory of amusiacs. Refer to the Advances in...Ch. 7.5 - Shopping on Black Friday. Refer to the...Ch. 7.5 - Prob. 93ACICh. 7.5 - Prob. 94ACICh. 7.5 - Prob. 95ACICh. 7.5 - Caffeine content of coffee. According to a Food...Ch. 7.5 - Prob. 97ACICh. 7.5 - Preventing production of defective items. It costs...Ch. 7.6 - What sampling distribution is used to find an...Ch. 7.6 - Prob. 100UPCh. 7.6 - Prob. 101UPCh. 7.6 - Prob. 102LMCh. 7.6 - Given the following values of , s, and n, form a...Ch. 7.6 - Prob. 104LMCh. 7.6 - Prob. 105LMCh. 7.6 - Prob. 106ACBCh. 7.6 - Prob. 107ACBCh. 7.6 - Motivation of drug dealers. Refer to the Applied...Ch. 7.6 - Prob. 109ACBCh. 7.6 - Prob. 110ACBCh. 7.6 - Prob. 111ACBCh. 7.6 - Prob. 112ACICh. 7.6 - Prob. 113ACICh. 7.6 - Shell lengths of sea turtles. Refer to the Aquatic...Ch. 7.6 - Prob. 115ACICh. 7.6 - s6.105 Is honey a cough remedy? Refer to the...Ch. 7.6 - Prob. 117ACICh. 7 - Prob. 118UPCh. 7 - Prob. 119UPCh. 7 - In each of the following instances, determine...Ch. 7 - Prob. 121LMCh. 7 - Prob. 122LMCh. 7 - Prob. 123LMCh. 7 - Prob. 124LMCh. 7 - 6.113 General health survey. The Centers for...Ch. 7 - Prob. 126ACBCh. 7 - Prob. 127ACBCh. 7 - Prob. 128ACBCh. 7 - Scanning errors at Wal-Mart. Refer to the National...Ch. 7 - Prob. 130ACBCh. 7 - Assessing the bending strength of a wooden roof....Ch. 7 - Prob. 132ACBCh. 7 - Prob. 133ACBCh. 7 - Prob. 134ACBCh. 7 - Prob. 135ACBCh. 7 - Prob. 136ACBCh. 7 - Prob. 137ACICh. 7 - Prob. 138ACICh. 7 - Prob. 139ACICh. 7 - Prob. 140ACICh. 7 - Prob. 141ACICh. 7 - Prob. 142ACICh. 7 - Prob. 143ACICh. 7 - Prob. 144ACICh. 7 -
Salmonella in ice cream bars. Recently, a case...Ch. 7 - Prob. 146ACICh. 7 - Prob. 147ACICh. 7 - Jitter in a water power system. Jitter is a term...Ch. 7 - Prob. 149ACACh. 7 - Prob. 150ACACh. 7 - Prob. 151CTCCh. 7 - 6.138 A sampling dispute goes to court. Sampling...
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