6th Edition

ISBN: 9781319113339

Author: Starnes

Publisher: MAC HIGHER

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.

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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 + ...

Chapter 8.1, Problem 26E

To determine

To find which option is correct to interpret the confidence interval.

Expert Solution & Answer

Answer to Problem 26E

Option c is correct.

Explanation of Solution

Given:

The 95% confidence interval for the mean systolic blood pressure for the employees of this company is (122,138).

The meaning of "95% confidence" is that we expect about 95% of all samples to have a 95% confidence interval that contains the true population parameter. Therefore, this confidence interval can be interpreted as, if the procedure repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure. Hence, this option is c, so it is a correct option.

Chapter 8.1, Problem 25E

Chapter 8.1, Problem 27E

Chapter 8 Solutions

PRACTICE OF STATISTICS F/AP EXAM

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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