Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 6.2, Problem 40BSC
Finding Bone Density Scores. In Exercises 37-40 assume that a randomly selected subject is given a bone density test. Bone density test scores are
40. Find the bone density scores that can be used as cutoff values separating the most extreme 1% of all scores.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Write codes to perform the functions in each of these cases
i.
ii.
Apply cd command to tell STATA the filepath associated with
your "favorite folder" (use the same name for the favorite folder
that we have been using in class)
Apply log using command to tell stata that you are creating a log
file to record the codes and the outcomes of these codes. Make
sure your log file is called loghwa1_W25.smcl. Do not forget to
include the replace option.
iii. Get help for the "regress" command & include a screenshot of
the outcome of this code
iv.
V.
Open a stata file stored in STATA memory called pop2000.dta
Continue from question iv. Save this file in your favorite folder
(current working directory) using a different name & a replace
option
Are there any unusually high or low pH levels in this sample of wells?
0
n
AM
RIES
s of
of
10
m
Frequency
40
Frequency
20
20
30
10
You make two histograms from two different
data sets (see the following figures), each
one containing 200 observations. Which of
the histograms has a smaller spread: the first
or the second?
40
30
20
10
0
20
40
60
0
20
20
40
60
60
80
80
100
80
100
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...
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
- TIP the aren't, the data are not sym 11 Suppose that the average salary at a certain company is $100,000, and the median salary is $40,000. a. What do these figures tell you about the shape of the histogram of salaries at this company? b. Which measure of center is more appro- priate here? c. Suppose that the company goes through a salary negotiation. How can people on each side use these summary statistics to their advantage? 6360 be 52 PART 1 Getting Off to a Statistically Significant Sarrow_forward12 Suppose that you know that a data set is skewed left, and you know that the two measures of center are 19 and 38. Which figure is the mean and which is the median?arrow_forwardy of 45 home- televisions u find that 010020 le own one, ee, and 1 owns y histogram of 4 Suppose that you have a loaded die. You roll it several times and record the outcomes, which are shown in the following figure. Histogram for Loaded Die 444% 34.00 48% 6% 2% Frequency 20 20 15 155 10 5- ம 0 1 2 3 4 Outcome 5 6 a. Make a relative frequency histogram of these results. b. You can make a relative frequency histo- gram from a frequency histogram; can you go the other direction?arrow_forward
- Calculate the mean for Study Hours and Test Scores. Compute the covariance between the two variables using the formula: Calculate the standard deviation for Study Hours (X) and Test Scores (Y). Determine the correlation coefficient Interpret the results: What does the calculated r-value indicate about the relationship between study hours and test scores?arrow_forwardFor unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Months Unemployed Number Unemployed 1 1029 2 1686 3 2269 4 2675 5 3487 6 4652 7 4145 8 3587 9 2325 10 1120 Let x be a random variable indicating the number of months a person is unemployed. a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals). (x) f(x) 1 2 3 4 5 6 7 8 9 10 b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank c. What is the probability that a…arrow_forwardWest Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. Excel File: data05-19.xls x 10 f(x) .05 20 30 .10 .10 40 .20 50 60 .35 .20 a. Is this probability distribution valid? - Select your answer- Explain. f(x) Σf(x) Select your answer Select your answer b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)? c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)? d. Compute the expected value and variance of x. Expected value Variance clients per year squared clients per yeararrow_forward
- For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Months Unemployed Number Unemployed 1 1029 2 1686 3 2269 4 2675 5 3487 6 4652 7 4145 8 3587 9 2325 10 1120 Let x be a random variable indicating the number of months a person is unemployed. a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals). (x) f(x) 1 2 3 4 5 6 7 8 9 10 b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. c. What is the probability that a person…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 2 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forward
- A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Duration of Call x f(x) 1 2 3 4 Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forwardA psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. x f(x) for x = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(x) ≥0 Σf(x) = 1 (5.1) (5.2) Does this probability distribution satisfy equation (5.1)? Select Does this probability distribution satisfy equation (5.2)? Select b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License