Answered: what is appropriate critical value(s)…

Name: the investigate the effectiveness of a diet a random sample of 16 fema
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Description: the investigate the effectiveness of a diet a random sample of 16 female patients is drawn form a population of adult females using the diet the weight of each individual in the sample is taken at the start and at the end of the diet assume 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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the investigate the effectiveness of a diet a random sample of 16 female patients is drawn form a population of adult females using the diet the weight of each individual in the sample is taken at the start and at the end of the diet assume that the population of diffrences in weight before and after the diet follows a normal distribution suppose the mean decrease in weights over all 16 subjects in the study is 4.0 pounds with the standard devitation of diffrences computed as 6.4 pounds let mx- my = mean weight before the diet - mean weight after the diet in order to test if the diet is effective what is appropriate critical value(s) at the 0.05 level of significate ?

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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