Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
5th Edition
ISBN: 9780134688886
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 1, Problem 9CRE
To determine
Find the value of
Express the result in an ordinary notation.
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Students have asked these similar questions
9. The concentration function of a random variable X is defined as
Qx(h) = sup P(x ≤ X ≤x+h), h>0.
x
(a) Show that Qx+b (h) = Qx(h).
(b) Is it true that Qx(ah) =aQx(h)?
(c) Show that, if X and Y are independent random variables, then
Qx+y (h) min{Qx(h). Qy (h)).
To put the concept in perspective, if X1, X2, X, are independent, identically
distributed random variables, and S₁ = Z=1Xk, then there exists an absolute
constant, A, such that
A
Qs, (h) ≤
√n
Some references: [79, 80, 162, 222], and [204], Sect. 1.5.
29
Suppose that a mound-shaped data set has a
must mean of 10 and standard deviation of 2.
a. About what percentage of the data should
lie between 6 and 12?
b. About what percentage of the data should
lie between 4 and 6?
c. About what percentage of the data should
lie below 4?
91002 175/1
3
2,3,
ample
and
rical
t?
the
28 Suppose that a mound-shaped data set has a
mean of 10 and standard deviation of 2.
a. About what percentage of the data should
lie between 8 and 12?
b. About what percentage of the data should
lie above 10?
c. About what percentage of the data should
lie above 12?
Chapter 1 Solutions
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
Ch. 1.1 - Online Medical Info USA Today posted this question...Ch. 1.1 - Prob. 2BSCCh. 1.1 - Statistical Significance Versus Practical...Ch. 1.1 - Prob. 4BSCCh. 1.1 - Consider the Source. In Exercises 5-8, determine...Ch. 1.1 - Consider the Source. In Exercises 5-8, determine...Ch. 1.1 - Consider the Source. In Exercises 5-8, determine...Ch. 1.1 - Prob. 8BSCCh. 1.1 - Prob. 9BSCCh. 1.1 - Sampling Method. In Exercises 9-12, determine...
Ch. 1.1 - Prob. 11BSCCh. 1.1 - Prob. 12BSCCh. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Prob. 14BSCCh. 1.1 - Prob. 15BSCCh. 1.1 - Prob. 16BSCCh. 1.1 - Prob. 17BSCCh. 1.1 - Prob. 18BSCCh. 1.1 - Prob. 19BSCCh. 1.1 - Prob. 20BSCCh. 1.1 - Prob. 21BSCCh. 1.1 - In Exercises 21-24, refer to the data in the table...Ch. 1.1 - Prob. 23BSCCh. 1.1 - Prob. 24BSCCh. 1.1 - What's Wrong? In Exercises 25-28, identify what is...Ch. 1.1 - Prob. 26BSCCh. 1.1 - Prob. 27BSCCh. 1.1 - Prob. 28BSCCh. 1.1 - Percentages. In Exercises 29-36, answer the given...Ch. 1.1 - Prob. 30BSCCh. 1.1 - Prob. 31BSCCh. 1.1 - Percentages. In Exercises 29-36, answer the given...Ch. 1.1 - Prob. 33BSCCh. 1.1 - Prob. 34BSCCh. 1.1 - Prob. 35BSCCh. 1.1 - Prob. 36BSCCh. 1.1 - Whats Wrong with This Picture? The Newport...Ch. 1.1 - Falsifying Data A researcher at the...Ch. 1.2 - Parameter and Statistic In a Harris Interactive...Ch. 1.2 - Prob. 2BSCCh. 1.2 - Discrete/Continuous Data Which of the following...Ch. 1.2 - Health Survey In a survey of 1020 adults in the...Ch. 1.2 - Prob. 5BSCCh. 1.2 - In Exercises 5-12, identify whether the given...Ch. 1.2 - Prob. 7BSCCh. 1.2 - Prob. 8BSCCh. 1.2 - Prob. 9BSCCh. 1.2 - Prob. 10BSCCh. 1.2 - In Exercises 5-12, identify whether the given...Ch. 1.2 - In Exercises 5-12, identify whether the given...Ch. 1.2 - Prob. 13BSCCh. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - Prob. 15BSCCh. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - Prob. 17BSCCh. 1.2 - Prob. 18BSCCh. 1.2 - Prob. 19BSCCh. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - Countable For each of the following, categorize...Ch. 1.3 - Prob. 1BSCCh. 1.3 - Prob. 2BSCCh. 1.3 - Replication In what specific way was replication...Ch. 1.3 - Prob. 4BSCCh. 1.3 - Prob. 5BSCCh. 1.3 - Prob. 6BSCCh. 1.3 - Prob. 7BSCCh. 1.3 - Prob. 8BSCCh. 1.3 - Prob. 9BSCCh. 1.3 - Prob. 10BSCCh. 1.3 - Prob. 11BSCCh. 1.3 - Prob. 12BSCCh. 1.3 - Prob. 13BSCCh. 1.3 - Prob. 14BSCCh. 1.3 - Prob. 15BSCCh. 1.3 - Prob. 16BSCCh. 1.3 - In Exercises 9-20, identify which of these types...Ch. 1.3 - Prob. 18BSCCh. 1.3 - Prob. 19BSCCh. 1.3 - Prob. 20BSCCh. 1.3 - Critical Thinking: What's Wrong? In Exercises...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises...Ch. 1.3 - Prob. 23BSCCh. 1.3 - Prob. 24BSCCh. 1.3 - Prob. 25BSCCh. 1.3 - Prob. 26BSCCh. 1.3 - Prob. 27BSCCh. 1.3 - Prob. 28BSCCh. 1.3 - Prob. 29BBCh. 1.3 - Prob. 30BBCh. 1.3 - In Exercises 29-32, indicate whether the...Ch. 1.3 - In Exercises 29-32, indicate whether the...Ch. 1.3 - In Exercises 33-36, identify which of these...Ch. 1.3 - Prob. 34BBCh. 1.3 - In Exercises 33-36, identify which of these...Ch. 1.3 - In exercises 3336, identity which of these designs...Ch. 1.3 - Prob. 37BBCh. 1.4 - Equals Key On many calculators, the end of a...Ch. 1.4 - Prob. 2BSCCh. 1.4 - Prob. 3BSCCh. 1.4 - Prob. 4BSCCh. 1.4 - Prob. 5BSCCh. 1.4 - Prob. 6BSCCh. 1.4 - Prob. 7BSCCh. 1.4 - Prob. 8BSCCh. 1.4 - Prob. 9BSCCh. 1.4 - Prob. 10BSCCh. 1.4 - Prob. 11BSCCh. 1.4 - Prob. 12BSCCh. 1.4 - Prob. 13BSCCh. 1.4 - Prob. 14BSCCh. 1.4 - Prob. 15BSCCh. 1.4 - Prob. 16BSCCh. 1.4 - Prob. 17BSCCh. 1.4 - Prob. 18BSCCh. 1.4 - Prob. 19BSCCh. 1.4 - Prob. 20BSCCh. 1.4 - Prob. 21BSCCh. 1.4 - Prob. 22BSCCh. 1.4 - Scientific Notation in Exercises 2124, use the...Ch. 1.4 - Scientific Notation in Exercises 2124, use the...Ch. 1.4 - Prob. 25BBCh. 1 - Hospitals In a study of births in New York State,...Ch. 1 - Hospitals Which of the following best describes...Ch. 1 - Prob. 3CQQCh. 1 - Prob. 4CQQCh. 1 - Prob. 5CQQCh. 1 - Prob. 6CQQCh. 1 - Prob. 7CQQCh. 1 - Prob. 8CQQCh. 1 - Prob. 9CQQCh. 1 - Prob. 10CQQCh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Divorces and Margarine One study showed that there...Ch. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Colleges in United States Currently, there are...Ch. 1 - Prob. 8RECh. 1 - Types of Data In each of the following, identify...Ch. 1 - Prob. 10RECh. 1 - Prob. 1CRECh. 1 - Prob. 2CRECh. 1 - Prob. 3CRECh. 1 - Prob. 4CRECh. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Prob. 6CRECh. 1 - Prob. 7CRECh. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Prob. 9CRECh. 1 - Prob. 10CRECh. 1 - Prob. 11CRECh. 1 - Prob. 12CRECh. 1 - Prob. 1TPCPCh. 1 - Prob. 1FDDCh. 1 - Prob. 2FDDCh. 1 - Prob. 3FDDCh. 1 - Prob. 4FDD
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- 27 Suppose that you have a data set of 1, 2, 2, 3, 3, 3, 4, 4, 5, and you assume that this sample represents a population. The mean is 3 and g the standard deviation is 1.225.10 a. Explain why you can apply the empirical rule to this data set. b. Where would "most of the values" in the population fall, based on this data set?arrow_forward30 Explain how you can use the empirical rule to find out whether a data set is mound- shaped, using only the values of the data themselves (no histogram available).arrow_forward5. Let X be a positive random variable with finite variance, and let A = (0, 1). Prove that P(X AEX) 2 (1-A)² (EX)² EX2arrow_forward
- 6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows: P(X=-x) = P(X = x)=p. P(X=0)= 1-2p. Show that there is equality in Chebyshev's inequality for X. This means that Chebyshev's inequality, in spite of being rather crude, cannot be improved without additional assumptions.arrow_forward4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).arrow_forward8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward
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