Loose Leaf for Elementary Statistics: A Step By Step Approach

10th Edition

ISBN: 9781260152821

Author: Bluman, Allan G.

Publisher: McGraw-Hill Education

See similar textbooks

Videos

Textbook Question

Chapter 6.2, Problem 1AC

Applying the Concepts 6–2

Smart People

Assume you are thinking about starting a Mensa chapter in your hometown, which has a population of about 10,000 people. You need to know how many people would qualify for Mensa, which requires an IQ of at least 130. You realize that IQ is normally distributed with a mean of 100 and a standard deviation of 15. Complete the following.

1. Find the approximate number of people in your hometown who are eligible for Mensa.

2. Is it reasonable to continue your quest for a Mensa chapter in your hometown?

3. How could you proceed to find out how many of the eligible people would actually join the new chapter? Be specific about your methods of gathering data.

4. What would be the minimum IQ score needed if you wanted to start an Ultra-Mensa club that included only the top 1% of IQ scores?

See page 368 for the answers.

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 6.1, Problem 60EC

Chapter 6.2, Problem 1E

Students have asked these similar questions

The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places): X 16 Height of the Graph of the Probability Density Function You are flying out of Terminal 3 at JFK on a Wednesday afternoon between 3:00 and 4:00 PM. You get stuck in a traffic jam on the way to the airport, and if it takes you longer than 12 minutes to clear security, you'll miss your flight. The probability that you'll miss your flight is You have arrived at the airport and have been waiting 10 minutes at the security checkpoint. Recall that if you spend more than 12 minutes clearing security, you will miss your flight. Now what is the probability that you'll miss your flight? ○ 0.5 O 0.25 ○ 0.8333 ○ 0.6667

onsider a random variable x that follows a uniform distribution, with a = 2 and b = 9. What is the probability that x is less than 6? P(x < 6) = 0.2857 P(x < 6) = 0.5714 P(x < 6) = 0.17142 P(x < 6) = 0.4286 What is the probability that x is between 4 and 6? P(4 ≤ x ≤ 6) = 0.2857 P(4 ≤ x ≤ 6) = 0.157135 P(4 ≤ x ≤ 6) = 0.0928525 P(4 ≤ x ≤ 6) = 0.11428

Consider a random variable x that follows a uniform distribution, with a = 8 and b = 14. What is the probability that x is less than 13? P(x < 13) = 0.1667 P(x < 13) = 0.41665 P(x < 13) = 0.24999 P(x < 13) = 0.8333 What is the probability that x is between 11 and 12? P(11 ≤ x ≤ 12) = 0.0541775 P(11 ≤ x ≤ 12) = 0.1667 P(11 ≤ x ≤ 12) = 0.06668 P(11 ≤ x ≤ 12) = 0.091685

Chapter 6 Solutions

Loose Leaf for Elementary Statistics: A Step By Step Approach

Ch. 6.1 - Many times in statistics it is necessary to see if...Ch. 6.1 - What are the characteristics of an normal...Ch. 6.1 - Why is the standard normal distribution important...Ch. 6.1 - What is the total area under the standard normal...Ch. 6.1 - What percentage of the area falls below the mean?...Ch. 6.1 - About what percentage of the area under the normal...Ch. 6.1 - What are two other names for a normal...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...

Additional Math Textbook Solutions

Find more solutions based on key concepts

Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The angle of incli...

Precalculus: Mathematics for Calculus (Standalone Book)

Empirical versus Theoretical A Monopoly player claims that the probability of getting a 4 when rolling a six-si...

Introductory Statistics

Find all solutions of each equation in the interval .

Precalculus: A Unit Circle Approach (3rd Edition)

(a) Make a stem-and-leaf plot for these 24 observations on the number of customers who used a down-town CitiBan...

APPLIED STAT.IN BUS.+ECONOMICS

Let F be a continuous distribution function. If U is uniformly distributed on (0,1), find the distribution func...

A First Course in Probability (10th Edition)

1. How is a sample related to a population?

Elementary Statistics: Picturing the World (7th Edition)

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.