10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

Concept explainers

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

Videos

Textbook Question

Chapter 9.2, Problem 45E

In each of Exercises 9.41–9.46, determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer.

9.45 A right-tailed test with α = 0.01.

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 44E

Chapter 9.2, Problem 46E

Students have asked these similar questions

A prospective cohort study is run to estimate the incidence of stroke in persons 55 years of age and older. All participants are free of stroke at study start. Each participant is followed for a maximum of 5 years. The data are summarized in Table 3–14. Number of Strokes Number of Stroke-Free Person-Years Men (n = 125) 9 478 Women (n = 200) 21 97 What is the annual incidence rate of stroke in men? What is the annual incidence rate of stroke in women? What is the annual incidence rate of stroke (men and women combined)?

Heart rate during laughter. Laughter is often called “the best medicine,” since studies have shown that laughter can reduce muscle tension and increase oxygenation of the blood. In the International Journal of Obesity (Jan. 2007), researchers at Vanderbilt University investigated the physiological changes that accompany laughter. Ninety subjects (18–34 years old) watched film clips designed to evoke laughter. During the laughing period, the researchers measured the heart rate (beats per minute) of each subject, with the following summary results: Mean = 73.5, Standard Deviation = 6. n=90 (we can treat this as a large sample and use z) It is well known that the mean resting heart rate of adults is 71 beats per minute. Based on the research on laughter and heart rate, we would expect subjects to have a higher heart beat rate while laughing.Construct 95% Confidence interval using z value. What is the lower bound of CI? a) Calculate the value of the test statistic.(z*) b) If…

X= 17, M = 21, 0 = 9 and N = 16, conduct a two-tailed z-test. Use a = 05.

Chapter 9 Solutions

Introductory Statistics (10th Edition)

Ch. 9.1 - Explain the meaning of the term hypothesis as used...Ch. 9.1 - Regarding the term null hypothesis: a. Originally,...Ch. 9.1 - What role does the decision criterion play in a...Ch. 9.1 - Suppose that you want to perform a hypothesis test...Ch. 9.1 - Suppose that you are considering a hypothesis test...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - What is the relation between the significance...Ch. 9.1 - Answer true or false and explain your answer: If...Ch. 9.1 - Answer true or false and explain your answer: For...

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.

In each of Exercises 9.41–9.46 , determine the critical value ( s ) for a one- mean z-test. For each exercise, draw a graph that illustrates your answer. 9.45 A right-tailed test with α = 0.01.

Solution Summary: The author calculates the critical value for the one mean z test for alpha =0.01.

Concept explainers

Videos

Want to see the full answer?

Chapter 9 Solutions