Answered: A researcher is 95% confident that 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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A researcher is 95% confident that the interval from 19.7 posts to 27.3 posts captures mu = the true mean amount of posts high school students make daily on social media. there evidence that the true mean number of posts high school students make is less than 27 No. There is not evidence for the population mean to be less than 27, because 27 is within the 95% confidence Interval No. There is not evidence for the population mean to be less than 27, because there are values greater than 27 within the 95% confidence interval Yesthere is evidence for the population mean to be less than 27because 27 is within the 95% confidence interval Yes, there is evidence for the population mean to be less than 27, because 27 is closer to the upper bound of the 95\% confidence interval than the lower 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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