7th Edition

ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

Concept explainers

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

Videos

Textbook Question

Chapter 5.3, Problem 31E

Finding Specified Data Values In Exercises 31–38, answer the questions about the specified normal distribution.

31. Heights of Women In a survey of women in the United States (ages 20–29), the mean height was 64.2 inches with a standard deviation of 2.9 inches. (Adapted from National Center for Health Statistics)

(a) What height represents the 95th percentile?
(b) What height represents the 43rd percentile?
(c) What height represents the first quartile?

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 5.3, Problem 30E

Chapter 5.3, Problem 32E

Students have asked these similar questions

A study investigating a new test for diagnosing acute myocardial infarction (AMI) has just been initiated. The sensitivity of the test is estimated at 75% and the specificity at 80%. The study enrolls 600 patients, of whom 200 are confirmed AMI cases as determined by the diagnostic gold standard. How many false negatives are to be expected in the study? A. 50 B. 80 C. 120 D. 150 E. 400

choose the correct graph below

C4 Q6 V1: Randomly collected student data in the dataset STATISTICSSTUDENTSSURVEYFORR contains the columns FEDBEST (preferred Federal party (Conservative, Green, Liberals, or NDP) ) , UNDERGORGRAD (degree being sought (GraduateProfessional, Undergraduate) ) and GENDERIDENTITY (Female or Male or Other). Make a crosstab (contingency) table of the counts for each of the (UNDERGORGRAD, FEDBEST) pairs for ONLY the females. If we randomly select a female student who is pursuing a graduateprofessional degree, what is the probability that she prefers the Federal Liberals. Choose the most correct (closest) answer below. Question 6 Answer a. 0.128 b. 0.263 c. 0.744 d. 0.333

Chapter 5 Solutions

MYLAB STATISTICS: ELEMENTARY STATISTICS

Ch. 5.1 - 1. Which normal curve has the greatest mean? 2....Ch. 5.1 - The scaled test scores for the New York State...Ch. 5.1 - A U.S. adult who is at least 20 years old is...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve...Ch. 5.1 - Find three real-life examples of a continuous...Ch. 5.1 - In a normal distribution, which is greater, the...Ch. 5.1 - What is the total area under the normal curve?Ch. 5.1 - What do the inflection points on a normal...

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.

Solution Summary: The author explains that the 95th percentile is 68.97 inches, and the 43rd percentille, 63.71 inches.

Concept explainers

Videos

Want to see the full answer?

Chapter 5 Solutions