Essentials of Statistics, Books a la Carte Edition (5th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780321926739
Author: Mario F. Triola
Publisher: PEARSON
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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…
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Chapter 6.3, Problem 36BB

Using Continuity Correction There are many situations in which a normal distribution can be used as a good approximation to a random variable that has only discrete values. In such cases, we can use this continuity correction: Represent each whole number by the interval extending from 0.5 below the number to 0.5 above it. The Chapter Problem for Chapter 3 includes Table 3-1, which lists the numbers of chocolate chips in Chips Ahoy regular cookies. Those numbers have a distribution that is approximately normal with a mean of 24.0 chocolate chips and a standard deviation of 2.6 chocolate chips. Find the percentage of such cookies having between 20 and 30 chocolate chips inclusive.

  1. a. Find the result without using the continuity correction.
  2. b. Find the result using the continuity correction.
  3. c. Does the use of the continuity correction make much of a difference in this case?
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Chapter 6 Solutions

Essentials of Statistics, Books a la Carte Edition (5th Edition)

Ch. 6.2 - Normal Distribution When we refer to a normal...Ch. 6.2 - Normal Distribution A normal distribution is...Ch. 6.2 - Standard Normal Distribution Identify the...Ch. 6.2 - Notation What does the notation Z indicate?Ch. 6.2 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.2 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.2 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.2 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.2 - Prob. 9BSCCh. 6.2 - Standard Normal Distribution. In Exercises 912,...
Ch. 6.2 - Prob. 11BSCCh. 6.2 - Prob. 12BSCCh. 6.2 - Prob. 13BSCCh. 6.2 - Prob. 14BSCCh. 6.2 - Prob. 15BSCCh. 6.2 - Prob. 16BSCCh. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Prob. 26BSCCh. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Prob. 28BSCCh. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 17-36,...Ch. 6.2 - Standard Normal Distribution. In Exercises 17-36,...Ch. 6.2 - Prob. 35BSCCh. 6.2 - Prob. 36BSCCh. 6.2 - Finding Bone Density Scores. In Exercises 37-40...Ch. 6.2 - Finding Bone Density Scores. In Exercises 37-40...Ch. 6.2 - Prob. 39BSCCh. 6.2 - Finding Bone Density Scores. In Exercises 37-40...Ch. 6.2 - Finding Critical Values. In Exercises 41-44, find...Ch. 6.2 - Prob. 42BSCCh. 6.2 - Prob. 43BSCCh. 6.2 - Prob. 44BSCCh. 6.2 - Prob. 45BSCCh. 6.2 - Prob. 46BSCCh. 6.2 - Prob. 47BSCCh. 6.2 - Prob. 48BSCCh. 6.2 - Prob. 49BBCh. 6.2 - Distributions In a continuous uniform...Ch. 6.3 - Pulse Rates Pulse rates of women are normally...Ch. 6.3 - IQ Scores The Wechsler Adult Intelligence Scale is...Ch. 6.3 - Prob. 3BSCCh. 6.3 - Random Digits Computers are commonly used to...Ch. 6.3 - IQ Scores. In Exercises 5-8, find the area of the...Ch. 6.3 - Prob. 6BSCCh. 6.3 - Prob. 7BSCCh. 6.3 - Prob. 8BSCCh. 6.3 - Prob. 9BSCCh. 6.3 - Prob. 10BSCCh. 6.3 - Prob. 11BSCCh. 6.3 - Prob. 12BSCCh. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - IQ Scores. In Exercises 13-20, assume that adults...Ch. 6.3 - In Exercises 21-24, use these parameters (based on...Ch. 6.3 - In Exercises 21-24, use these parameters (based on...Ch. 6.3 - Prob. 23BSCCh. 6.3 - In Exercises 21-24, use these parameters (based on...Ch. 6.3 - Water Taxi Safety When a water taxi sank in...Ch. 6.3 - Prob. 26BSCCh. 6.3 - Prob. 27BSCCh. 6.3 - Prob. 28BSCCh. 6.3 - Prob. 29BSCCh. 6.3 - Aircraft Seat Width Engineers want to design seats...Ch. 6.3 - Chocolate Chip Cookies The Chapter Problem for...Ch. 6.3 - Quarters After 1964, quarters were manufactured so...Ch. 6.3 - Large Data Sets. In Exercises 33 and 34, refer to...Ch. 6.3 - Prob. 34BSCCh. 6.3 - Curving Test Scores A statistics professor gives a...Ch. 6.3 - Using Continuity Correction There are many...Ch. 6.3 - Prob. 37BBCh. 6.3 - SAT and ACT Tests Based on recent results, scores...Ch. 6.4 - Minting Quarters In a recent year, the U.S. Mint...Ch. 6.4 - Sampling with Replacement In a recent year, the...Ch. 6.4 - Unbiased Estimators Data Set 1 in Appendix B...Ch. 6.4 - Prob. 4BSCCh. 6.4 - Prob. 5BSCCh. 6.4 - Prob. 6BSCCh. 6.4 - Prob. 7BSCCh. 6.4 - In Exercises 710, use the same population of {4,...Ch. 6.4 - In Exercises 710, use the same population of {4,...Ch. 6.4 - Prob. 10BSCCh. 6.4 - In Exercises 1114, use the population of ages {56,...Ch. 6.4 - In Exercises 1114, use the population of ages {56,...Ch. 6.4 - In Exercises 1114, use the population of ages {56,...Ch. 6.4 - Prob. 14BSCCh. 6.4 - Births: Sampling Distribution of Sample Proportion...Ch. 6.4 - Births: Sampling Distribution of Sample Proportion...Ch. 6.4 - SAT and ACT Tests Because they enable efficient...Ch. 6.4 - Quality Control After constructing a new...Ch. 6.4 - Prob. 19BBCh. 6.4 - Prob. 20BBCh. 6.5 - Standard Error of the Mean The population of...Ch. 6.5 - Small Sample Heights of adult females are normally...Ch. 6.5 - Notation The population of distances that adult...Ch. 6.5 - Prob. 4BSCCh. 6.5 - Using the Central Limit Theorem. In Exercises 510,...Ch. 6.5 - Using the Central Limit Theorem. In Exercises 510,...Ch. 6.5 - Using the Central Limit Theorem. In Exercises 510,...Ch. 6.5 - Using the Central Limit Theorem. In Exercises 510,...Ch. 6.5 - Using the Central Limit Theorem. In Exercises 510,...Ch. 6.5 - Using the Central Limit Theorem. In Exercises 510,...Ch. 6.5 - Prob. 11BSCCh. 6.5 - Prob. 12BSCCh. 6.5 - Designing Hats Women have head circumferences that...Ch. 6.5 - Designing Manholes According to the website...Ch. 6.5 - Prob. 15BSCCh. 6.5 - Loading MM Packages MM plain candies have a mean...Ch. 6.5 - Prob. 17BSCCh. 6.5 - Pulse Rates of Women Women have pulse rates that...Ch. 6.5 - Redesign of Ejection Seats When women were allowed...Ch. 6.5 - Loading a Tour Boat The Ethan Allen tour boat...Ch. 6.5 - Doorway Height The Boeing 757-200 ER airliner...Ch. 6.5 - Loading Aircraft Before every flight, the pilot...Ch. 6.5 - Prob. 23BBCh. 6.5 - Population Parameters Use the same population of...Ch. 6.6 - Normal Quantile Plot Data Set 1 in Appendix B...Ch. 6.6 - Prob. 2BSCCh. 6.6 - Prob. 3BSCCh. 6.6 - Prob. 4BSCCh. 6.6 - Prob. 5BSCCh. 6.6 - Interpreting Normal Quantile Plots. In Exercises...Ch. 6.6 - Prob. 7BSCCh. 6.6 - Interpreting Normal Quantile Plots. In Exercises...Ch. 6.6 - Prob. 9BSCCh. 6.6 - Determining Normality. In Exercises 912, refer to...Ch. 6.6 - Determining Normality. In Exercises 912, refer to...Ch. 6.6 - Prob. 12BSCCh. 6.6 - Prob. 13BSCCh. 6.6 - Prob. 14BSCCh. 6.6 - Using Technology to Generate Normal Quantile...Ch. 6.6 - Prob. 16BSCCh. 6.6 - Prob. 17BSCCh. 6.6 - Constructing Normal Quantile Plots. In Exercises...Ch. 6.6 - Prob. 19BSCCh. 6.6 - Prob. 20BSCCh. 6.6 - Transformations The heights (in inches) of men...Ch. 6.6 - Earthquake Magnitudes Richter scale earthquake...Ch. 6.6 - Prob. 23BBCh. 6.7 - Exact Value and Approximation Refer to Figure 6-21...Ch. 6.7 - Continuity Correction In a preliminary test of the...Ch. 6.7 - Prob. 3BSCCh. 6.7 - Prob. 4BSCCh. 6.7 - Prob. 5BSCCh. 6.7 - Prob. 6BSCCh. 6.7 - Prob. 7BSCCh. 6.7 - Prob. 8BSCCh. 6.7 - Prob. 9BSCCh. 6.7 - Prob. 10BSCCh. 6.7 - Voters. In Exercises 912, use a normal...Ch. 6.7 - Prob. 12BSCCh. 6.7 - Prob. 13BSCCh. 6.7 - Prob. 14BSCCh. 6.7 - Mendelian Genetics When Mendel conducted his...Ch. 6.7 - Prob. 16BSCCh. 6.7 - XSORT Gender Selection MicroSorts XSORT...Ch. 6.7 - Prob. 18BSCCh. 6.7 - Prob. 19BSCCh. 6.7 - Cell Phones and Brain Cancer In a study of 420,095...Ch. 6.7 - Prob. 21BSCCh. 6.7 - Prob. 22BSCCh. 6.7 - Prob. 23BSCCh. 6.7 - Prob. 24BSCCh. 6.7 - Decision Theory Marc Taylor plans to place 200...Ch. 6.7 - Prob. 26BBCh. 6 - Identify the values of and for the standard...Ch. 6 - Bone Density Test. In Exercises 1-4, assume that...Ch. 6 - Prob. 3CQQCh. 6 - Prob. 4CQQCh. 6 - Prob. 5CQQCh. 6 - Prob. 6CQQCh. 6 - In Exercises 6-10, assume that red blood cell...Ch. 6 - Prob. 8CQQCh. 6 - Prob. 9CQQCh. 6 - Prob. 10CQQCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Window Placement Standing eye heights of men are...Ch. 6 - Sampling Distributions Scores on the ACT test have...Ch. 6 - Prob. 5RECh. 6 - Monorail and Airliner Doors The Mark VI monorail...Ch. 6 - Aircraft Safety Standards Under older Federal...Ch. 6 - Assessing Normality Listed below are the current...Ch. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Miami Heat The following are current annual...Ch. 6 - Prob. 2CRECh. 6 - Birth Weights Birth weights in the United States...Ch. 6 - POTUS The accompanying graph is a histogram of...Ch. 6 - Left-Handedness According to data from the...Ch. 6 - Binomial Probabilities Section 6-7 described a...Ch. 6 - Prob. 1FDDCh. 6 - Prob. 2FDDCh. 6 - Prob. 3FDDCh. 6 - Critical Thinking: Designing aircraft seats When...Ch. 6 - Critical Thinking: Designing aircraft seats When...Ch. 6 - Critical Thinking: Designing aircraft seats When...
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