Answered: Is the mean length of adult invasive…

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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Question

Is the mean length of adult invasive Lionfish in the Atlantic coast of South Carolina greater than 355.6mm? (This is just the research question I using please just answer question 2 and 3 please.)

Lower limit: 429.737

Upper limit: 445.163

Question 2. Interpret the above confidence intervals:

Question 3. If you have one sample group, determine whether the value in your research question (the value which is compared to the population mean) is within the confidence interval or not. Then describe what it implies. If you have two groups of data, determine whether the confidence intervals of the two groups overlap or not. Then describe what that implies.

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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