Answered: A researcher would like to estimate the…

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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100%

A researcher would like to estimate the mean weight of all adult male American alligators in the Everglades. The mean weight of a random sample of 105 adult male American alligators from the Everglades was found to be 502 pounds. The standard deviation of the weights of all adult male American alligators in the Everglades is known to be 29 pounds.Using a 99% confidence level, determine the margin of error, E, and a confidence interval for the mean weight of all adult male American alligators in the Everglades. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary. The margin of error is given by E=.
A 99% confidence interval is given by

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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