Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 7.4, Problem 64ACB
(a)
To determine
Identify the parameter of interest to the UNC researchers.
(b)
To determine
Find and interpret why a large sample confidence interval cannot be used in this problem.
(c)
To determine
Find the 95% confidence interval for the parameter using Wilson’s adjustment.
(d)
To determine
Interpret the 95% confidence interval for the parameter using Wilson’s adjustment.
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Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of
each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means
is on the left below, and that of the 50 confidence intervals is on the right.
1. What does each dot on the left hand dotplot represent?
StatKey Sampling Distribution for a Mean
Percent with Internet Access (Countries) ▾
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20
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Sampling Dotplot of Mean
Left Tail Two-Tail Right Tail
60
50
40
40
30
20
20
10
samples = 50
mean = 41.626
std. error = 5.089
:
.:
:
::
0
25
30
35
40
45
50
55
60
41.626
Data Plots
Confidence Intervals
95%->
Confidence Intervals
Coverage
48/50 = 96%
20
40
60
80
2. Circle the confidence intervals that failed to capture the true mean.
3. Circle the sample means that produced those…
Example 4 (Part 1) One of the datasets in the Lock book
contains information about 215 countries of the world. One
of the variables is the percentage of people in the country
who have access to the internet. We have data for 203 of
those countries. The plot on the right shows a dotplot of
the data.
1. What are the cases?
Population
n = 203, mean = 43.024
median = 43.5, stdev = 29.259
20
2. What does each dot on the dotplot represent?
15
10
5
20
40
43.024
60
80
3. What type of data is do we collect from the cases, quantitative or categorical?
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information.
x
63
79
70
80
84
87
y
46
49
45
55
57
58
Find Se. Round your answer to three decimal places.
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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