Suppose researchers are interested in estimating the true mean weight of a certain type of porcupine in a certain geographical area. A sample of 15 porcupines from this area yielded a sample mean weight of 9.1 kg, with an associated 95% confidence interval of 8.6 to 9.6 kg. Suppose the assumptions of the procedure they used were met. Of the following options, which one is the best interpretation of that interval? Question 2 options: We can be 95% confident that the sample mean weight of the 15 porcupines lies between 8.6 and 9.6 kg. We can be 95% confident that the true mean weight for this type of porcupine in this area lies between 8.6 and 9.6 kg. In repeated sampling, 95% of the 95% confidence intervals calculated in this manner will capture the sample mean weight of the porcupines. 95% of porcupines in this area have weights between 8.6 and 9.6 kg.

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Answered: Suppose researchers are interested in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose researchers are interested in estimating the true mean weight of a certain type of porcupine in a certain geographical area. A sample of 15 porcupines from this area yielded a sample mean weight of 9.1 kg, with an associated 95% confidence interval of 8.6 to 9.6 kg. Suppose the assumptions of the procedure they used were met. Of the following options, which one is the best interpretation of that interval?

Question 2 options:

	We can be 95% confident that the sample mean weight of the 15 porcupines lies between 8.6 and 9.6 kg.
	We can be 95% confident that the true mean weight for this type of porcupine in this area lies between 8.6 and 9.6 kg.
	In repeated sampling, 95% of the 95% confidence intervals calculated in this manner will capture the sample mean weight of the porcupines.
	95% of porcupines in this area have weights between 8.6 and 9.6 kg.

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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