Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763729
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 3.4, Problem 36AYU
To determine
To explain: The meaning of 98% percentile to qualify for the organization Mensa.
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Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6.
a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) I worked out the Upper Limit, but I can't seem to arrive at the correct answer for the Lower Limit. What is the Lower Limit?…
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 0. What level of type II error would you recommend here?
=
Round your answer to four decimal places (e.g. 98.7654). Use α = 0.05.
β
= 0.0594
What sample size would be required?
Assume the sample sizes are to be…
Consider the hypothesis test Ho: 0
s² =
=
4.5; s² = 2.3. Use a
= 0.01.
=
σ against H₁: 6 > σ2. Suppose that the sample sizes are n₁ =
20 and 2
= 8, and that
(a) Test the hypothesis.
Round your answers to two decimal places (e.g. 98.76).
The test statistic is fo
=
1.96
The critical value is f
=
6.18
Conclusion:
fail to reject
the null hypothesis at a = 0.01.
(b) Construct the confidence interval on 02/2/622 which can be used to test the hypothesis:
(Round your answer to two decimal places (e.g. 98.76).)
035
Chapter 3 Solutions
Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
Ch. 3.1 - What does it mean if a statistic is resistant?Ch. 3.1 - In the 2014 Current Population Survey conducted by...Ch. 3.1 - The U.S. Department of Housing and Urban...Ch. 3.1 - A histogram of a set of data indicates that the...Ch. 3.1 - If a data set contains 10,000 values arranged in...Ch. 3.1 - True or False: A data set will always have exactly...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...
Ch. 3.1 - For Super Bowl XLVII, there were 82,566 tickets...Ch. 3.1 - The median for the given set of six ordered data...Ch. 3.1 - Miles per Gallon The following data represent the...Ch. 3.1 - Exam Time The following data represent the amount...Ch. 3.1 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.1 - Flight Time The following data represent the...Ch. 3.1 - For each of the three histograms shown, determine...Ch. 3.1 - Match the histograms shown to the summary...Ch. 3.1 - Exam Scores The data in the next column represent...Ch. 3.1 - pH in Water The acidity or alkalinity of a...Ch. 3.1 - NW Pulse Rates The following data represent the...Ch. 3.1 - Travel Time The data represent the travel time (in...Ch. 3.1 - NW Connection Time A histogram of the connection...Ch. 3.1 - Journal Costs A histogram of the annual...Ch. 3.1 - MMs The following data represent the weights (in...Ch. 3.1 - Old Faithful We have all heard of the Old Faithful...Ch. 3.1 - Hours Working A random sample of 25 college...Ch. 3.1 - Prob. 28AYUCh. 3.1 - NW Political Views A sample of 30 registered...Ch. 3.1 - Prob. 30AYUCh. 3.1 - Prob. 31AYUCh. 3.1 - Mr. Zuro finds the mean height of all 14 students...Ch. 3.1 - Missing Exam Grade A professor has recorded exam...Ch. 3.1 - Prob. 34AYUCh. 3.1 - Blood Alcohol Concentration Go to...Ch. 3.1 - Prob. 36AYUCh. 3.1 - Linear Transformations Benjamin owns a small...Ch. 3.1 - Linear Transformations Use the five test scores of...Ch. 3.1 - Trimmed Mean Another measure of central tendency...Ch. 3.1 - Prob. 40AYUCh. 3.1 - Putting It Together: Shape, Mean and Median As...Ch. 3.1 - FICO Scores The Fair Isaacs Corporation has...Ch. 3.1 - Why is the median resistant, but the mean is not?Ch. 3.1 - Prob. 44AYUCh. 3.1 - Net Worth According to a Credit Suisse Survey, the...Ch. 3.1 - Prob. 46AYUCh. 3.1 - In January 2016, the mean amount of money lost per...Ch. 3.1 - For each of the following situations, determine...Ch. 3.2 - The sum of the deviations about the mean always...Ch. 3.2 - The standard deviation is used in conjunction with...Ch. 3.2 - True or False: When comparing two populations, the...Ch. 3.2 - True or False: Chebyshevs Inequality applies to...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - Miles per Gallon The following data represent the...Ch. 3.2 - Exam Time The following data represent the amount...Ch. 3.2 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.2 - Flight Time The following data represent the...Ch. 3.2 - Which histogram depicts a higher standard...Ch. 3.2 - Match the histograms in the next column to the...Ch. 3.2 - Exam Scores The following data represent exam...Ch. 3.2 - pH in Water The acidity or alkalinity of a...Ch. 3.2 - NW Pulse Rates The data on the following page...Ch. 3.2 - Travel Time The following data represent the...Ch. 3.2 - A Fish Story Ethan and Drew went on a 10-day...Ch. 3.2 - Prob. 22AYUCh. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - Prob. 25AYUCh. 3.2 - Prob. 26AYUCh. 3.2 - Prob. 27AYUCh. 3.2 - Temperatures It is well known that San Diego has...Ch. 3.2 - NW The Empirical Rule The StanfordBinet...Ch. 3.2 - The Empirical Rule SAT Math scores have a...Ch. 3.2 - The Empirical Rule The weight, in grams, of the...Ch. 3.2 - The Empirical Rule The distribution of the length...Ch. 3.2 - Which Professor Suppose Professor Alpha and...Ch. 3.2 - Larry Summers Lawrence Summers (former Secretary...Ch. 3.2 - NW Chebyshevs Inequality In December 2014, the...Ch. 3.2 - Chebyshevs Inequality According to the U.S. Census...Ch. 3.2 - Prob. 37AYUCh. 3.2 - Linear Transformations Benjamin owns a small...Ch. 3.2 - Prob. 39AYUCh. 3.2 - Prob. 40AYUCh. 3.2 - Prob. 41AYUCh. 3.2 - Blocking and Variability Blocking refers to the...Ch. 3.2 - Prob. 43AYUCh. 3.2 - Prob. 44AYUCh. 3.2 - Prob. 45AYUCh. 3.2 - More Spread? The data set on the left represents...Ch. 3.2 - Prob. 47AYUCh. 3.2 - Prob. 48AYUCh. 3.2 - Prob. 49AYUCh. 3.2 - What is meant by the phrase degrees of freedom as...Ch. 3.2 - Prob. 51AYUCh. 3.2 - Prob. 52AYUCh. 3.2 - What makes the range less desirable than the...Ch. 3.2 - Prob. 54AYUCh. 3.2 - Prob. 55AYUCh. 3.2 - Prob. 56AYUCh. 3.2 - Prob. 57AYUCh. 3.2 - Prob. 59AYUCh. 3.3 - NW Savings Recently, a random sample of 2534 year...Ch. 3.3 - Square Footage of Housing The frequency...Ch. 3.3 - Household Winter Temperature Often, frequency...Ch. 3.3 - Living in Poverty (See Problem 3.) The following...Ch. 3.3 - Multiple Births The following data represent the...Ch. 3.3 - Birth Weight The following frequency distribution...Ch. 3.3 - Cigarette Tax Rates Use the frequency distribution...Ch. 3.3 - Dividend Yield Use the frequency distribution...Ch. 3.3 - NW Grade-Point Average Marissa has just completed...Ch. 3.3 - Computing Class Average In Marissas calculus...Ch. 3.3 - Mixed Chocolates Michael and Kevin want to buy...Ch. 3.3 - Nut Mix Michael and Kevin return to the candy...Ch. 3.3 - Population The data represent the male and female...Ch. 3.3 - Age of Mother The following data represent the age...Ch. 3.3 - Approximate the median of the frequency...Ch. 3.3 - Prob. 16AYUCh. 3.3 - Prob. 17AYUCh. 3.3 - Determine the modal class of the frequency...Ch. 3.4 - The _____ represents the number of standard...Ch. 3.4 - The _____ _____ of a data set is a value such that...Ch. 3.4 - _____ divide data sets into fourths.Ch. 3.4 - Prob. 4AYUCh. 3.4 - Prob. 5AYUCh. 3.4 - Prob. 6AYUCh. 3.4 - Men versus Women The average 20- to 29-year-old...Ch. 3.4 - Prob. 8AYUCh. 3.4 - ERA Champions In 2014, Clayton Kershaw of the Los...Ch. 3.4 - Batting Champions The highest batting average ever...Ch. 3.4 - Prob. 11AYUCh. 3.4 - Triathlon Roberto finishes a triathlon (750-meter...Ch. 3.4 - School Admissions A highly selective boarding...Ch. 3.4 - Quality Control A manufacturer of bolts has a...Ch. 3.4 - Prob. 15AYUCh. 3.4 - You Explain It! Percentiles Explain the meaning of...Ch. 3.4 - You Explain It! Quartiles Violent crimes include...Ch. 3.4 - You Explain It! Quartiles One variable that is...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - NW SMART Car The data on the following page...Ch. 3.4 - Hemoglobin in Cats The following data represent...Ch. 3.4 - Rate of Return of Google The following data...Ch. 3.4 - CO2 Emissions The following data represent the...Ch. 3.4 - Fraud Detection As part of its Customers First...Ch. 3.4 - Stolen Credit Card A credit card company has a...Ch. 3.4 - Student Survey of Income A survey of 50 randomly...Ch. 3.4 - Student Survey of Entertainment Spending A survey...Ch. 3.4 - Prob. 29AYUCh. 3.4 - Travel Time Use the results of Problem 22 in...Ch. 3.4 - Fraud Detection Revisited Use the fraud-detection...Ch. 3.4 - Write a paragraph that explains the meaning of...Ch. 3.4 - Suppose you received the highest score on an exam....Ch. 3.4 - Prob. 34AYUCh. 3.4 - Prob. 35AYUCh. 3.4 - Prob. 36AYUCh. 3.4 - Prob. 37AYUCh. 3.4 - Prob. 38AYUCh. 3.4 - Prob. 39AYUCh. 3.5 - What does the five-number summary consist of?Ch. 3.5 - In a boxplot, if the median is to the left of the...Ch. 3.5 - Prob. 3AYUCh. 3.5 - In Problems 3 and 4, (a) identify the shape of the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Exam Scores After giving a statistics exam,...Ch. 3.5 - Prob. 8AYUCh. 3.5 - Prob. 9AYUCh. 3.5 - Carpoolers The following data represent the...Ch. 3.5 - NW Age of Mother at Birth The data below represent...Ch. 3.5 - Prob. 12AYUCh. 3.5 - Prob. 13AYUCh. 3.5 - Prob. 14AYUCh. 3.5 - Prob. 15AYUCh. 3.5 - Prob. 16AYUCh. 3.5 - Putting It Together: Earthquakes Go to...Ch. 3.5 - Putting It Together: Paternal Smoking It is...Ch. 3.5 - Retain Your Knowledge: Decision Making and Hunger...Ch. 3.5 - Prob. 20AYUCh. 3.5 - Prob. 21AYUCh. 3 - Muzzle Velocity The following data represent the...Ch. 3 - Price of Chevy Cobalts The following data...Ch. 3 - Chief Justices The following data represent the...Ch. 3 - Number of Tickets Issued As part of a statistics...Ch. 3 - Chebyshevs Inequality and the Empirical Rule...Ch. 3 - Prob. 6RECh. 3 - Weighted Mean Michael has just completed his first...Ch. 3 - Weights of Males versus Females According to the...Ch. 3 - Halladay No-No On October 6, 2010, Roy Halladay of...Ch. 3 - Presidential Inaugural Addresses Ever wonder how...Ch. 3 - You Explain It! Percentiles According to the...Ch. 3 - Skinfold Thickness Procedure One method of...Ch. 3 - The following data represent the amount of time...Ch. 3 - The Federal Bureau of Investigation classifies...Ch. 3 - Determine the range of the homework data from...Ch. 3 - a. Determine the standard deviation of the...Ch. 3 - In a random sample of 250 toner cartridges, the...Ch. 3 - The following data represent the length of time...Ch. 3 - Prob. 7CTCh. 3 - An engineer is studying bearing failures for two...Ch. 3 - The following data represent the weights (in...Ch. 3 - Armando is filling out a college application that...Ch. 3 - According to the National Center for Health...Ch. 3 - Prob. 12CTCh. 3 - Answer the following based on the histograms shown...Ch. 3 - Explain how the standard deviation measures...Ch. 3 - Generate a data set consisting of the length of...Ch. 3 - Prob. 2CSCh. 3 - Prob. 3CS
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