3rd Edition

ISBN: 9780135188927

Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)

Publisher: Pearson,

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Textbook Question

Chapter 6, Problem 49SE

Medical School MCAT Scores on the 2017 MCAT, an exam required for all medical school applicants, were approximately Normal with a mean score of 505 and a standard deviation of 9.4.

a. Suppose an applicant had an MCAT score of 520. What percentile corresponds with this score?

b. Suppose to be considered at a highly selective medical school an applicant should score in the top 10% of all test takers. What score would place an applicant in the top 10%?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6, Problem 48SE

Chapter 6, Problem 50SE

Chapter 6 Solutions

Introductory Statistics

Ch. 6 - Directions Determine whether each of the following...Ch. 6 - 6.1-6.4 Directions Determine whether each of the...Ch. 6 - 6.1-6.4 Directions Determine whether each of the...Ch. 6 - 6.1-6.4 Directions Determine whether each of the...Ch. 6 - Loaded Die (Example 2) A magician has shaved an...Ch. 6 - Prob. 6SE Ch. 6 - Distribution of Two Thumbtacks When a certain type...Ch. 6 - Two Children Make a list of all possible outcomes...Ch. 6 - Two Thumbtacks a. From your answers in Exercise...Ch. 6 - Two Children Using your list of outcomes in...

Ch. 6 - Snow Depth (Example 3) Eric wants to go skiing...Ch. 6 - Snow Depth Refer to Exercise 6.11. What is the...Ch. 6 - Applying the Empirical Rule with z-Scores The...Ch. 6 - Length of Pregnancy Assume that the lengths of...Ch. 6 - SAT Scores Quantitative SAT scores are...Ch. 6 - Women’s Heights Assume that college women’s...Ch. 6 - Women’s Heights (Example 4) Assume college women’s...Ch. 6 - SAT Scores Quantitative SAT scores are...Ch. 6 - Standard Normal Use the table or technology to...Ch. 6 - Standard Normal Use the table or technology to...Ch. 6 - Standard Normal Use technology or a Normal table...Ch. 6 - Standard Normal Use technology or a Normal table...Ch. 6 - Extreme Positive z -Scores For each question, find...Ch. 6 - Extreme Negative z-Scores For each question, find...Ch. 6 - St. Bernard Dogs (Example 5) According to dogtime...Ch. 6 - Whales Whales have one of the longest gestation...Ch. 6 - Boys’ Foot Length (Example 6) According to the...Ch. 6 - Women’s Foot Length According to the Digital Human...Ch. 6 - Boys’ Foot Length Suppose a shoe store stocks...Ch. 6 - Women’s Foot Length Suppose a shoe store stocks...Ch. 6 - Birth Weights (Example 7) According to the British...Ch. 6 - Birth Lengths According to National Vital...Ch. 6 - White Blood Cells The distribution of white blood...Ch. 6 - Red Blood Cells The distribution of red blood cell...Ch. 6 - SAT Scores in Illinois According to the 2017 SAT...Ch. 6 - SAT Scores in Florida According to the 2017 SAT...Ch. 6 - Arm Span (Men) According to Anthropometric Survey...Ch. 6 - Arm Span (Women) According to Anthropometric...Ch. 6 - New York City Weather New York City’s mean minimum...Ch. 6 - Chicago Weather The average winter daily...Ch. 6 - Probability or Measurement (Inverse)? (Example 8)...Ch. 6 - Probability or Measurement (Inverse)? The Normal...Ch. 6 - Inverse Normal, Standard In a standard Normal...Ch. 6 - Inverse Normal, Standard In a standard Normal...Ch. 6 - Inverse Normal, Standard Assume a standard Normal...Ch. 6 - Inverse Normal, Standard Assume a standard Normal...Ch. 6 - Prob. 47SE Ch. 6 - Weights of Newborn Hippos The weight of newborn...Ch. 6 - Medical School MCAT Scores on the 2017 MCAT, an...Ch. 6 - Medical School GPA The distribution of grade point...Ch. 6 - Women’s Heights Suppose college women’s heights...Ch. 6 - Men’s Heights Suppose college men’s heights are...Ch. 6 - Inverse SATs Critical reading SAT scores are...Ch. 6 - Inverse Women’s Heights College women have heights...Ch. 6 - Girls’ and Women’s Heights According to the...Ch. 6 - Boys’ and Men’s Heights According to the National...Ch. 6 - Cats’ Birth Weights The average birth weight of...Ch. 6 - Elephants’ Birth Weights The average birth weight...Ch. 6 - Gender of Children (Example 10) A married couple...Ch. 6 - Coin Flip A coin will be flipped four times, and...Ch. 6 - Rolling a Die (Example 11) A die is rolled 5...Ch. 6 - Twins In Exercise 6.59 you are told to assume that...Ch. 6 - Free Throws Professional basketball player...Ch. 6 - On-Time Arrivals Alaska Airlines has an on-time...Ch. 6 - Identifying n,p, and x (Example 12) For each...Ch. 6 - Identifying n,p, and x For each situation,...Ch. 6 - Dog Owners (Example 13) According to the American...Ch. 6 - Cat Owners According to the American Veterinary...Ch. 6 - Passports According to data from the U.S. State...Ch. 6 - Travel According to a survey conducted by OnePoll,...Ch. 6 - Wisconsin Graduation Wisconsin has the highest...Ch. 6 - Colorado Graduation Colorado has a high school...Ch. 6 - Cell Phones According to the Centers of Disease...Ch. 6 - Landlines According to the Centers of Disease...Ch. 6 - Drones (Example 14) The use of drones, aircraft...Ch. 6 - Drones A 2017 Pew Research Center report on drones...Ch. 6 - Texting While Walking According to a report by the...Ch. 6 - Texting While Driving According to a study by the...Ch. 6 - Prob. 79SE Ch. 6 - Free Throws Professional basketball LeBron James...Ch. 6 - Prob. 81SE Ch. 6 - Prob. 82SE Ch. 6 - Discrete or Continuous? Determine whether each of...Ch. 6 - Probability Distribution In a game of chance,...Ch. 6 - Birth Length A study of U.S. births published on...Ch. 6 - Birth Length A study of U.S. births published on...Ch. 6 - Males’ Body Temperatures A study of human body...Ch. 6 - Females’ Body Temperatures A study of human body...Ch. 6 - Prob. 89CRE Ch. 6 - Medical Licensing See problem 6.89 for information...Ch. 6 - Systolic Blood Pressures Systolic blood pressures...Ch. 6 - Prob. 92CRE Ch. 6 - Stress According to a 2017 Gallup poll, 44#37; of...Ch. 6 - Stress According to a 2017 Gallup poll, 17 of...Ch. 6 - Voice-Controlled Assistants Voice-controlled video...Ch. 6 - Prob. 96CRE Ch. 6 - Prob. 97CRE Ch. 6 - Prob. 98CRE Ch. 6 - Prob. 99CRE Ch. 6 - Quantitative SAT Scores, Normal and Binomial The...Ch. 6 - Prob. 101CRE Ch. 6 - Birth Length and z-Scores, Inverse Babies in the...

Additional Math Textbook Solutions

Find more solutions based on key concepts

Alvie Singer lives at 0 in the accompanying diagram and has four friends who live at A, B, C, and D. One day Al...

Probability and Statistics for Engineering and the Sciences

16. Singers The display shows the heights of some of the singers in a chorus, collected so that the singers cou...

STATS:DATA+MODELS-W/DVD

UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858...

Statistics: The Art and Science of Learning from Data (4th Edition)

Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given...

Elementary Statistics Using the TI-83/84 Plus Calculator, Books a la Carte Edition (4th Edition)

Use the following information to answer the next 14 exercises: The mean age for all Foothill College students f...

Introductory Statistics

Teacher Salaries The following data from several years ago represent salaries (in dollars) from a school distri...

Elementary Statistics: A Step By Step Approach

Knowledge Booster

$Statistics$

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.

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS

The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY

Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY

Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License

Solution Summary: The author explains the steps to determine the measurement from a percentile: Determine the MCAT score that will qualify students to be in the top 10&#37; of all test takers.

Concept explainers

Videos

Want to see the full answer?

Chapter 6 Solutions

Additional Math Textbook Solutions

Solution Summary: The author explains the steps to determine the measurement from a percentile: Determine the MCAT score that will qualify students to be in the top 10% of all test takers.