Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 14.2, Problem 5LM
To determine
Check whether the
Specify the necessary assumptions.
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Theorem 1.4 (Chebyshev's inequality)
(i) Suppose that Var X x)≤-
x > 0.
2
(ii) If X1, X2,..., X, are independent with mean 0 and finite variances, then
Στη Var Xe
P(|Sn| > x)≤
x > 0.
(iii) If, in addition, X1, X2, Xn are identically distributed, then
nVar Xi
P(|Sn> x) ≤
x > 0.
x²
Theorem 2.5 (The Lyapounov inequality)
For 0
Theorem 1.6 (The Kolmogorov inequality)
Let X1, X2,
Xn be independent random variables with mean 0 and suppose
that Var Xk 0,
P(max Sk>x) ≤
Isk≤n
Σ-Var X
In particular, if X1, X2,..., X, are identically distributed, then
P(max Sx) ≤
Isk≤n
nVar X₁
x2
Chapter 14 Solutions
Statistics (13th Edition)
Ch. 14.2 - Prob. 1UPCh. 14.2 - Prob. 2UPCh. 14.2 - Prob. 3LMCh. 14.2 - Prob. 4LMCh. 14.2 - Prob. 5LMCh. 14.2 - Music performance anxiety. Refer to the British...Ch. 14.2 - Prob. 7ACBCh. 14.2 - 15.8 Caffeine in Starbucks coffee. Researchers at...Ch. 14.2 - Emotional empathy in young adults. Refer to the...Ch. 14.2 - Prob. 10ACB
Ch. 14.2 - Prob. 11ACBCh. 14.2 - Prob. 12ACICh. 14.2 - 15.10 Lobster trap placement. Refer to the...Ch. 14.2 - Prob. 14ACICh. 14.2 - Prob. 15ACICh. 14.2 - Prob. 16ACICh. 14.2 - Prob. 17ACICh. 14.3 - What is a rank sum?
Ch. 14.3 - Prob. 19UPCh. 14.3 - Prob. 20UPCh. 14.3 - Prob. 21LMCh. 14.3 - 15.17 Suppose you want to compare two treatments,...Ch. 14.3 - Prob. 23LMCh. 14.3 - Random samples of sizes n1 = 16 and n2 = 12 were...Ch. 14.3 - 15.18 Independent random samples are selected from...Ch. 14.3 - Prob. 26ACBCh. 14.3 - Prob. 27ACBCh. 14.3 - Prob. 28ACBCh. 14.3 - 15.23 The X-Factor in golf performance. Many golf...Ch. 14.3 - Prob. 30ACBCh. 14.3 - Prob. 31ACBCh. 14.3 - 15.85 Children’s recall of TV ads. Refer to the...Ch. 14.3 - Prob. 33ACICh. 14.3 - Prob. 34ACICh. 14.3 - Prob. 35ACICh. 14.3 - Prob. 36ACICh. 14.3 - Prob. 37ACICh. 14.3 - Prob. 38ACICh. 14.3 - Prob. 39ACICh. 14.4 - Explain the difference between the one- and...Ch. 14.4 - Prob. 41UPCh. 14.4 - Prob. 42LMCh. 14.4 - Prob. 43LMCh. 14.4 - Prob. 44LMCh. 14.4 - Prob. 45LMCh. 14.4 - A random sample of nine pairs of measurements is...Ch. 14.4 - Prob. 47ACBCh. 14.4 - Prob. 48ACBCh. 14.4 - Prob. 49ACBCh. 14.4 - Prob. 50ACBCh. 14.4 - Reading comprehension strategies of elementary...Ch. 14.4 - Prob. 52ACBCh. 14.4 - Prob. 53ACICh. 14.4 - Prob. 54ACICh. 14.4 - Prob. 55ACICh. 14.4 - Neurological impairment of POWs. Eleven prisoners...Ch. 14.4 - Prob. 57ACICh. 14.4 - Prob. 58ACACh. 14.5 - 15.43 Under what circumstances does the χ2...Ch. 14.5 - Which of the following results would lead you to...Ch. 14.5 - Suppose you want to use the Kruskal-Wallis H-test...Ch. 14.5 - Data were collected from three populations—A, B...Ch. 14.5 - 15.46 Containing wildfires. The International...Ch. 14.5 - 15.47 Road safety of neighborhoods. The Canadian...Ch. 14.5 - Dog behavior on walks. A field study was conducted...Ch. 14.5 - 15.49 Improving driving performance while...Ch. 14.5 - Effect of scopolamine on memory. Refer to the...Ch. 14.5 - 15.48 Commercial eggs produced from different...Ch. 14.5 - 15.50 Relieving pain with hypnosis. Rehabilitation...Ch. 14.5 - Energy expenditure of laughter. Refer to the...Ch. 14.5 -
Restoring self-control when intoxicated. Refer...Ch. 14.5 - Ground water contamination of wells. Refer to the...Ch. 14.5 - The “name game.” Refer to the Journal of...Ch. 14.5 -
Is honey a cough remedy? Refer to the Archives...Ch. 14.6 - Which of the following statements correctly...Ch. 14.6 - What conditions are required for a valid...Ch. 14.6 - Data were collected under a randomized block...Ch. 14.6 - 15.55 Suppose you have used a randomized block...Ch. 14.6 - 15.56 An experiment was conducted using a...Ch. 14.6 - A new method of evaluating health care research...Ch. 14.6 - Prob. 81ACBCh. 14.6 - 15.64 Containers designed to cool citrus fruit....Ch. 14.6 - 15.57 Estimating time needed to complete a task....Ch. 14.6 - 15.60 Taste testing scales. Refer to the Journal...Ch. 14.6 - Impact study of distractions while driving. The...Ch. 14.6 - 15.58 Condit ions impeding farm production. A...Ch. 14.6 - “Topsy-turvy” seasons in college football. Refer...Ch. 14.6 - 15.65 Irrelevant facial similarity effects on...Ch. 14.6 - Effect of massage on boxers. Refer to the British...Ch. 14.6 - Plants and stress reduction. Refer to the Kansas...Ch. 14.7 - What is the value of rS when there is perfect...Ch. 14.7 - What conditions are required for a valid...Ch. 14.7 - 15.66 Use Table XIV at the end of this chapter to...Ch. 14.7 - 15.67 Specify the rejection region for Spearman’s...Ch. 14.7 - 15.69 Compute Spearman s rank correlation...Ch. 14.7 - 15.68 The following sample data were collected on...Ch. 14.7 - Measuring the moon’s orbit. Refer to the American...Ch. 14.7 - Mongolian desert ants. Refer to the Journal of...Ch. 14.7 - Game performance of water polo players. Refer to...Ch. 14.7 - Lobster fishing study. Refer to the Bulletin of...Ch. 14.7 - Effect of massage on boxers. Refer to the British...Ch. 14.7 - Childhood obesity study. Refer to the Journal of...Ch. 14.7 - Groundwater contamination of wells. Refer to the...Ch. 14.7 - The “name game.” Refer to the Journal of...Ch. 14.7 - 15.76 Taste testing scales. Refer to the Journal...Ch. 14.7 - 15.75 In business, do nice guys finish first or...Ch. 14.7 - 15.74 Food availability at middle schools. Refer...Ch. 14.7 - Pain empathy and brain activity. Refer to the...Ch. 14.7 - Public perceptions of health risks. Refer to the...Ch. 14 - Prob. 110UPCh. 14 - For each of the following, give the appropriate...Ch. 14 - 15.80 The data for three independent random...Ch. 14 - 15.81 A random sample of nine pairs of...Ch. 14 - 15.82 Two independent random samples produced the...Ch. 14 - 15.83 An experiment was conducted using a...Ch. 14 - Radioactive lichen. Refer to the Lichen...Ch. 14 - Prob. 118ACBCh. 14 - Prob. 119ACBCh. 14 - Prob. 120ACBCh. 14 - Prob. 121ACBCh. 14 - Extending the life of an aluminum smelter pot....Ch. 14 - 15.36 NHTSA new car crash tests. Refer to the...Ch. 14 - Prob. 124ACICh. 14 - Prob. 125ACICh. 14 - Prob. 126ACICh. 14 - Prob. 127ACICh. 14 - Prob. 128ACICh. 14 - Prob. 129ACICh. 14 - Prob. 130ACICh. 14 - Prob. 131ACICh. 14 - Prob. 132ACICh. 14 - Prob. 133ACICh. 14 - Prob. 134ACICh. 14 - Prob. 135ACICh. 14 - Prob. 136ACICh. 14 - Prob. 137ACICh. 14 - Prob. 138CTC
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- Theorem 3.1 (The Cauchy-Schwarz inequality) Suppose that X and Y have finite variances. Then |EXYarrow_forwardAbout 25% of people in America use a certain social media website. In a group with 20 people (assume that it is a random sample of people in America), what are the following probabilities? (Round your answers to three decimal places.) a) At least one of them uses the website. b) More than two of them use the website. c) None of them use the website. d) At least 18 of them do not use the website. please show all steps and work for probabilities. answer parts a-d.arrow_forwardExample 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? 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