1st Edition

ISBN: 9781938168208

Author: Barbara Illowsky, Susan Dean

Publisher: OpenStax College

See similar textbooks

Videos

Textbook Question

Chapter 8, Problem 55P

Use the following information to answer the next 13 exercises: The data In Table 8.10 are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X = the number of colors on a national flag.

X	Freq.
1	1
2	7
3	18
4	7
5	6

Table 8.10

Construct a 95% confidence interval for the true mean number of colors on national flags.

How much area is in each tail?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 54P

Chapter 8, Problem 56P

Students have asked these similar questions

The average miles per gallon for a sample of 40 cars of model SX last year was 32.1, with a population standard deviation of 3.8. A sample of 40 cars from this year’s model SX has an average of 35.2 mpg, with a population standard deviation of 5.4. Find a 99 percent confidence interval for the difference in average mpg for this car brand (this year’s model minus last year’s).Find a 99 percent confidence interval for the difference in average mpg for last year’s model minus this year’s. What does the negative difference mean?

A special interest group reports a tiny margin of error (plus or minus 0.04 percent) for its online survey based on 50,000 responses. Is the margin of error legitimate? (Assume that the group’s math is correct.)

Suppose that 73 percent of a sample of 1,000 U.S. college students drive a used car as opposed to a new car or no car at all. Find an 80 percent confidence interval for the percentage of all U.S. college students who drive a used car.What sample size would cut this margin of error in half?

Chapter 8 Solutions

Introductory Statistics

Ch. 8 - Suppose we have data from a sample. The sample...Ch. 8 - Suppose average pizza delivery times are normally...Ch. 8 - Table 8.2 shows a different random sampling of 20...Ch. 8 - Refer back to the pizza-delivery Try It exercise....Ch. 8 - Refer back to the pizza-deliver Try It exercise....Ch. 8 - Suppose we know that a confidence interval is...Ch. 8 - The population standard deviation for the height...Ch. 8 - You do a study of hypnotherapy to determine how...Ch. 8 - A random sample of statistics students were asked...Ch. 8 - Suppose 250 randomly selected people are surveyed...

Additional Math Textbook Solutions

Find more solutions based on key concepts

TRY IT YOURSELF 1 Find the mean of the points scored by the 51 winning teams listed on page 39.

Elementary Statistics: Picturing the World (7th Edition)

A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than does th...

A First Course in Probability (10th Edition)

Standard Normal Distribution. In Exercises 13–16, find the indicated z score. The graph depicts the standard no...

Elementary Statistics (13th Edition)

In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each Junction. b. Use ...

Precalculus

Evaluating limits Evaluate the following limits. 27. limx15x2+6x+18x4

Calculus: Early Transcendentals (2nd Edition)

Voting A random sample of likely voters showed that 49 planned to support Measure X. The margin of error is 3 p...

Introductory Statistics

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.