Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6.5, Problem 6BSC
Using the Central Limit Theorem. In Exercises 5–10, use this information about the overhead reach distances of adult females: μ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are
5. a. If 1 adult female is randomly selected, find the
b. If 49 adult females are randomly selected, find the probability that they have a
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An Arts group holds a raffle. Each raffle ticket costs $2 and the raffle consists of 2500 tickets. The prize is a vacation worth $3,000.
a. Determine your expected value if you buy one ticket.
b. Determine your expected value if you buy five tickets.
How much will the Arts group gain or lose if they sell all the tickets?
Please show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy.
Consider the following game. It costs $3 each time you roll a six-sided number cube. If you roll a 6 you win $15. If you roll any other number, you receive nothing.
a) Find the expected value of the game.
b) If you play this game many times, will you expect to gain or lose money?
=
12:02
WeBWorK / 2024 Fall Rafeek MTH23 D02
/ 9.2 Testing the Mean mu / 3
38
WEBWORK
Previous Problem
Problem List
Next Problem
9.2 Testing the Mean mu:
Problem 3
(1 point)
Test the claim that the population of sophomore college
students has a mean grade point average greater than 2.2.
Sample statistics include n = 71, x = 2.44, and s = 0.9.
Use a significance level of a = 0.01.
The test statistic is
The P-Value is between :
The final conclusion is
< P-value <
A. There is sufficient evidence to support the claim that
the mean grade point average is greater than 2.2.
○ B. There is not sufficient evidence to support the claim
that the mean grade point average is greater than 2.2.
Note: You can earn partial credit on this problem.
Note: You are in the Reduced Scoring Period. All work counts for
50% of the original.
Preview My Answers Submit Answers
You have attempted this problem 0 times.
You have unlimited attempts remaining.
.
Oli
wwm01.bcc.cuny.edu
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
- There are four white, fourteen blue and five green marbles in a bag. A marble is selected from the bag without looking. Find the odds of the following: The odds against selecting a green marble. The odds in favour of not selecting a green marble The odds in favor of the marble selected being either a white or a blue marble. What is true about the above odds? Explainarrow_forwardPlease show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forwardexplain the importance of the Hypothesis test in a business setting, and give an example of a situation where it is helpful in business decision making.arrow_forward
- A college wants to estimate what students typically spend on textbooks. A report fromthe college bookstore observes that textbooks range in price from $22 to $186. Toobtain a 95% confidence level for a confidence interval estimate to plus or minus $10,how many students should the college survey? (We may estimate the populationstandard deviation as (range) ÷ 4.)arrow_forwardIn a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions. Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuous. Was this an observational study or an experimental study? Explain your answer.arrow_forwardexplain the difference between the confident interval and the confident level. provide an example to show how to correctly interpret a confidence interval.arrow_forward
- Sketch to scale the orbit of Earth about the sun. Graph Icarus’ orbit on the same set of axesWhile the sun is the center of Earth’s orbit, it is a focus of Icarus’ orbit. There aretwo points of intersection on the graph. Based on the graph, what is the approximate distance between the two points of intersection (in AU)?arrow_forwardThe diameters of ball bearings are distributed normally. The mean diameter is 67 millimeters and the standard deviation is 3 millimeters. Find the probability that the diameter of a selected bearing is greater than 63 millimeters. Round to four decimal places.arrow_forwardSuppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 22 Pennies 27 Dimes 9 Nickels 30 Quarters What is the probability that you reach into the jar and randomly grab a penny and then, without replacement, a dime? Express as a fraction or a decimal number rounded to four decimal places.arrow_forward
- A box contains 14 large marbles and 10 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 4 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express as a fraction or a decimal number rounded to four decimal places.arrow_forwardCan I get help with this step please? At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.33. After the student shoots 28 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.25. Does this evidence support the student's claim that the gun's sight is off? Use a 0.025 level of significance. Assume that the…arrow_forwardThe National Academy of Science reported that 38% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 38%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 279 recent articles published by reputable mathematics research journals and finds that 123 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 38 % ? Use a 0.02 level of significance. Compute the value of the test statistic. Round to two decimal places.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
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