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
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3.3, Problem 1BSC
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents 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 3 Solutions
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
Ch. 3.1 - Prob. 1BSCCh. 3.1 - Prob. 2BSCCh. 3.1 - Measures of Center In what sense are the mean,...Ch. 3.1 - Prob. 4BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 6BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 8BSCCh. 3.1 - Prob. 9BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...
Ch. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 12BSCCh. 3.1 - Prob. 13BSCCh. 3.1 - Prob. 14BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 17BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 19BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 21BSCCh. 3.1 - In Exercises 2124, find the mean and median for...Ch. 3.1 - Prob. 23BSCCh. 3.1 - In Exercises 2124, find the mean and median for...Ch. 3.1 - Prob. 25BSCCh. 3.1 - Prob. 26BSCCh. 3.1 - Prob. 27BSCCh. 3.1 - Prob. 28BSCCh. 3.1 - Prob. 29BSCCh. 3.1 - In Exercises 2932, find the mean of the data...Ch. 3.1 - Prob. 31BSCCh. 3.1 - Prob. 32BSCCh. 3.1 - Prob. 33BSCCh. 3.1 - Prob. 34BSCCh. 3.1 - Prob. 35BBCh. 3.1 - Prob. 36BBCh. 3.1 - Trimmed Mean Because the mean is very sensitive to...Ch. 3.1 - Prob. 38BBCh. 3.1 - Prob. 39BBCh. 3.1 - Prob. 40BBCh. 3.1 - Prob. 41BBCh. 3.2 - Range Rule of Thumb for Estimating s The 20 brain...Ch. 3.2 - Range Rule of Thumb for Interpreting s The 20...Ch. 3.2 - Variance The 20 subjects used in Data Set 8 IQ and...Ch. 3.2 - Symbols Identify the symbols used for each of the...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - Prob. 9BSCCh. 3.2 - Prob. 10BSCCh. 3.2 - Prob. 11BSCCh. 3.2 - Prob. 12BSCCh. 3.2 - Prob. 13BSCCh. 3.2 - Prob. 14BSCCh. 3.2 - Prob. 15BSCCh. 3.2 - Prob. 16BSCCh. 3.2 - Prob. 17BSCCh. 3.2 - Prob. 18BSCCh. 3.2 - Prob. 19BSCCh. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - Prob. 21BSCCh. 3.2 - In Exercises 2124, find the coefficient of...Ch. 3.2 - Prob. 23BSCCh. 3.2 - Prob. 24BSCCh. 3.2 - Prob. 25BSCCh. 3.2 - Prob. 26BSCCh. 3.2 - Prob. 27BSCCh. 3.2 - Prob. 28BSCCh. 3.2 - Prob. 29BSCCh. 3.2 - Prob. 30BSCCh. 3.2 - Prob. 31BSCCh. 3.2 - Prob. 32BSCCh. 3.2 - Prob. 33BSCCh. 3.2 - Prob. 34BSCCh. 3.2 - Prob. 35BSCCh. 3.2 - Prob. 36BSCCh. 3.2 - Prob. 37BSCCh. 3.2 - Prob. 38BSCCh. 3.2 - Finding Standard Deviation from a Frequency...Ch. 3.2 - Prob. 40BSCCh. 3.2 - Prob. 41BSCCh. 3.2 - Prob. 42BSCCh. 3.2 - Prob. 43BSCCh. 3.2 - Chebyshevs Theorem Based on Data Set 3 Body...Ch. 3.2 - Prob. 45BBCh. 3.2 - Prob. 46BBCh. 3.3 - z Scores LeBron James, one of the most successful...Ch. 3.3 - Heights The boxplot shown below results from the...Ch. 3.3 - Boxplot Comparison Refer to the boxplots shown...Ch. 3.3 - z Scores If your score on your next statistics...Ch. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - Prob. 7BSCCh. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - Significant Values. In Exercises 9-12, consider a...Ch. 3.3 - Prob. 10BSCCh. 3.3 - Prob. 11BSCCh. 3.3 - Prob. 12BSCCh. 3.3 - Comparing Values. In Exercises 13-16, use z scores...Ch. 3.3 - Comparing Values. In Exercises 13-16, use z scores...Ch. 3.3 - Prob. 15BSCCh. 3.3 - Prob. 16BSCCh. 3.3 - Prob. 17BSCCh. 3.3 - Prob. 18BSCCh. 3.3 - Percentiles. In Exercises 1720, use the following...Ch. 3.3 - Prob. 20BSCCh. 3.3 - Prob. 21BSCCh. 3.3 - In Exercises 2128, use the same list of Sprint...Ch. 3.3 - In Exercises 2128, use the same list of Sprint...Ch. 3.3 - Prob. 24BSCCh. 3.3 - Prob. 25BSCCh. 3.3 - Prob. 26BSCCh. 3.3 - Prob. 27BSCCh. 3.3 - Prob. 28BSCCh. 3.3 - Boxplots. In Exercises 2932, use the given data to...Ch. 3.3 - Boxplots. In Exercises 2932, use the given data to...Ch. 3.3 - Prob. 31BSCCh. 3.3 - Prob. 32BSCCh. 3.3 - Boxplots from Large Data Sets in Appendix B. In...Ch. 3.3 - Prob. 34BSCCh. 3.3 - Boxplots from Large Data Sets in Appendix B. In...Ch. 3.3 - Prob. 36BSCCh. 3.3 - Prob. 37BBCh. 3 - Prob. 1CQQCh. 3 - Sleep Median What is the median of the sample...Ch. 3 - Prob. 3CQQCh. 3 - Prob. 4CQQCh. 3 - Prob. 5CQQCh. 3 - Prob. 6CQQCh. 3 - Prob. 7CQQCh. 3 - Prob. 8CQQCh. 3 - Prob. 9CQQCh. 3 - Prob. 10CQQCh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRECh. 3 - Normal Distribution Examine the distribution shown...Ch. 3 - Words Spoken by Men and Women Refer to Data Set 24...Ch. 3 - Prob. 1FDD
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 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
- 3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forward7. Cantelli's inequality. Let X be a random variable with finite variance, o². (a) Prove that, for x ≥ 0, P(X EX2x)≤ 02 x² +0² 202 P(|X - EX2x)<≤ (b) Find X assuming two values where there is equality. (c) When is Cantelli's inequality better than Chebyshev's inequality? (d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall, from Proposition 6.1, that an application of Chebyshev's inequality yields the bound o√√2. (e) Generalize Cantelli's inequality to moments of order r 1.arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forward
- The Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License