13th Edition

ISBN: 9780134462455

Author: Mario F. Triola

Publisher: PEARSON

Concept explainers

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Videos

Textbook Question

Chapter 9.2, Problem 3BSC

Hypothesis Tests and Confidence Intervals for Hemoglobin

a. Exercise2 includes a confidence interval. If you use the P-value method or the critical value method from Part 1 of this section to test the claim that women and men have the same mean hemoglobin levels, will the hypothesis tests and the confidence interval result in the same con clusion?

b. In general, if you conduct a hypothesis test using the methods of Part 1 of this section, will the P-value method, the critical value method, and the confidence interval method result in the same conclusion?

c. Assume that you want to use a 0.01 significance level to test the claim that the mean hemoglobin level in women is less than the mean hemoglobin level in men. What confidence level should be used if you want to test that claim using a confidence interval?

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 9.2, Problem 2BSC

Chapter 9.2, Problem 4BSC

Students have asked these similar questions

(c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?

26. (a) Provide an example where X, X but E(X,) does not converge to E(X).

Chapter 9 Solutions

Elementary Statistics (13th Edition)

Ch. 9.1 - Verifying Requirements In the largest clinical...Ch. 9.1 - Verifying Requirements In the largest clinical...Ch. 9.1 - Hypotheses and Conclusions Refer to the hypothesis...Ch. 9.1 - Using Confidence Intervals a. Assume that we want...Ch. 9.1 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.1 - Treating Carpal Tunnel Syndrome Carpal tunnel...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Accuracy of Fast Food Drive-Through Orders In a...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...

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 P -value method of hypothesis testing and the confidence interval use the same distribution and standard error.

Concept explainers

Videos

Want to see the full answer?

Chapter 9 Solutions