Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 6.5, Problem 20BSC
Loading a Tour Boat The Ethan Allen tour boat capsized and sank in Lake George, New York, and 20 of the 47 passengers drowned. Based on a 1960 assumption of a
- a. Given that the boat was rated for 50 passengers with an assumed mean of 140 lb, the boat had a passenger load limit of 7000 lb. Assume that the boat is loaded with 50 male passengers, and assume that weights of men are
normally distributed with a mean of 182.9 lb and a standard deviation of 40.8 lb (based on Data Set 1 in Appendix B). Find theprobability that the boat is overloaded because the 50 male passengers have a mean weight greater than 140 lb. - b. The boat was later rated to carry only 14 passengers, and the load limit was changed to 2436 lb. It 14 passengers are all males, find the probability that the boat is overloaded because their mean weight is greater than 174 lb (so that their total weight is greater than the maximum capacity of 2436 lb). Do the new ratings appear to be safe when the boat is loaded with 14 male passengers?
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Chapter 6 Solutions
Essentials of Statistics (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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