1st Edition

ISBN: 9781938168208

Author: Barbara Illowsky, Susan Dean

Publisher: OpenStax College

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Textbook Question

Chapter 8, Problem 4P

Use the following information to answer the next five exercises: The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 2.1-1 pounds. The sample standard deviation is 11 pounds

Construct a 95°o confidence intera1 for the population mean weight of newborn elephants. State the confidence interval, sketch the graph, and calculate the error bound.

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 + ...

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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...

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