Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6.7, Problem 17BSC
XSORT Gender Selection MicroSort’s XSORT gender-selection technique is designed to increase the likelihood that a baby will be a girl. In updated results (as of this writing) of the XSORT gender-selection technique, 945 births consisted of 879 baby girls and 66 baby boys (based on data from the Genetics & IVF Institute). In analyzing these results, assume that the XSORT method has no effect so that boys and girls are equally likely.
- a. Find the
probability of getting exactly 879 girls in 945 births. - b. Find the probability of getting 879 or more girls in 945 births. If boys and girls are equally likely, is 879 girls in 945 births unusually high?
- c. Which probability is relevant for trying to determine whether the XSORT method is effective: the result from pan (a) or the result from pan (b)?
- d. Based on the results, does it appear that the XSORT method is effective? Why or why not?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The Asian longhorned beetle kills trees by burrowing within the trunk and branches and disrupting the sap flow. This beetle favors hardwood trees, such as maple, elm, and ash. A new pesticide will be be tested in a major metropolitan city. A statistician designs an experiment for 200 mature maple trees and randomly assigns half of the trees to receive this new pesticide, and the rest of the trees receive a control treatment. Is there any obvious way to improve this experiment to evaluate the effectiveness of this new pesticide?
Choose the best answer below:
A. Yes, stratifying must be used
B. No, basic variations have been accounted for.
C. Yes, matching must be used.
D. Yes, a placebo is missing.
E. Yes, blocking must be used.
FDA is testing a new drug for its effectiveness in improving lung functions of Covid patients. The
drug is considered "effective" and hence approved if it increases the blood oxygen level by an average
of 5 points. FDA selected a random sample of 7 individuals and recorded their blood oxygen level before
and after taking the drug. The results are in the following table.
Person
Mike Mina Sophia Ibrahim Silvia Carl George
Oxygen level before drug
86
85
94
85
91
88
92
Oxygen level after drug
95
92
97
95
98
98
97
Construct and interpret 95% confidence interval for the difference in oxygen levels before and after the
drug use. Based on the interval, do you believe FDA will approve the drug?
GMU uses a robot food delivery service which now has been utilized in the City of Fairfax. One of the potential benefits of this service is to help the busiest students eat breakfast. Research has shown that about 80% of college students skip breakfast due to busy schedules and other reasons. Initial data were collected from a random sample of 595 Mason students who utilize the robot food delivery service and are presented in StatCrunch.
Show the full calculation of the sample proportion by including the number of students who skipped breakfast, the total number of students sampled, and the value of the sample proportion. Present this sample proportion as a decimal rounded to four decimal places.
Frequency table results for Breakfast?Count = 595
Breakfast?
Frequency
Relative Frequency
0
142
0.23865546
1
453
0.76134454
Chapter 6 Solutions
Elementary Statistics
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
- What is a sample space?arrow_forwardHow many females and males of the sample have satisfying non- academic performance inspite of having bad eye vision?arrow_forwardIn an experiment of breeding mice, a geneticist has obtained 120 brown mice with pink eyes, 48brown mice with brown eyes, 36 white mice with pink eyes and 13 white mice with brown eyes.Theory predicts that these types of mice should be obtained with the genetic percentage of 56%,19%, 19% and 6% respectively. Test the compatibility of data with theory, using 0.05 level ofsignificance.arrow_forward
- Benzene is a pollutant that, according to studies, can be associated with health problems. Benzene is found in air, water, and soil and comes from both industrial and natural sources. Benzene levels in indoor air are generally higher than outdoors. The main source of benzene in indoor air appears to be tobacco smoke, thus the combustion of tobacco is a major source of pollution. Benzene levels are measured in a random sample of 36 bars in a city, obtaining an average benzene level of 19.2 mg / m3, with a standard deviation of 2.1 mg / m3. Estimate the mean benzene level in bars in this city using a 95% confidence interval. (do your calculations to 4 decimal places) (need the process can be by hand ,Excel or R.) a)Other solution b)[18.48946, 19.91054] c)[19.0950, 19.3050] d)[18.5140, 19.8859] e)[18.6243, 19.7757] f)[18.4315, 19.7936]arrow_forwardOver the decades, it looked like hunting was becoming less and less popular, but due to covid a researcher believes that hunting is making a comeback due to many reasons such as supply chain issues and increased meat costs. A few years ago, a study showed that approximately 8% of Ohioans were hunters. Suppose this researcher randomly selected 358 Ohioans and found that 11% of them reported that they hunt. Test this researchers claim that the proportion of Ohio hunters is now greater than 8%. Assume a significance level of 0.05. e. State the conclusion of this test if the null hypothesis is NOT REJECTED. a. There is sufficient evidence to support the claim that the proportion of Ohio hunters is now equal to 8%. b. There is sufficient evidence to support the researcher's claim that the proportion of Ohio hunters is now greater than 8%. c. There is not sufficient evidence to support the researcher's claim that the proportion of Ohio hunters is now greater than 8%.arrow_forwardOver the decades, it looked like hunting was becoming less and less popular, but due to covid a researcher believes that hunting is making a comeback due to many reasons such as supply chain issues and increased meat costs. A few years ago, a study showed that approximately 8% of Ohioans were hunters. Suppose this researcher randomly selected 358 Ohioans and found that 11% of them reported that they hunt. Test this researchers claim that the proportion of Ohio hunters is now greater than 8%. Assume a significance level of 0.05. a. State the hypotheses.arrow_forward
- Over the decades, it looked like hunting was becoming less and less popular, but due to covid a researcher believes that hunting is making a comeback due to many reasons such as supply chain issues and increased meat costs. A few years ago, a study showed that approximately 8% of Ohioans were hunters. Suppose this researcher randomly selected 358 Ohioans and found that 11% of them reported that they hunt. Test this researchers claim that the proportion of Ohio hunters is now greater than 8%. Assume a significance level of 0.05. b. Calculate the test statistic. a. 2.58 b. 1.92 c. 1.81 d. 2.09 SUPPOSE the test statistic is 2.75. Find the p-value. a. 0.0308 b. 0.0060 c. 0.0030 d. 0.0154 d. SUPPOSE the p-value is 0.0358. State the initial decision. a. Reject the null hypothesis since the p-value is less than the significance level. b. Do not reject the null hypothesis since the p-value is less than…arrow_forwardBased on past surveys over several years, a small business believes that 85% of their customers are satisfied with their services. Due to the recent conditions, changes policy and additional charges, the business decides to select a random sample of 20 recent customers and ask them if they are satisfied with their services. If the number of satisfied customers in the sample is 16 or fewer, the business will conclude that this is an indication of a need for improvement in customer service and they will try to determine ways to provide it. What is the probability that the results of the sample will indicate a need to improve customer service?arrow_forwardAnterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 Calculate the pooled variance for the data.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 HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
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
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License