Answered: Dog researchers are trying to determine…

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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Dog researchers are trying to determine if the brand of dog bed effects how much sleep dogs get. me simple experiment 24 dogs are randomly assigned to receive a dog bed from brand A. It is found that the mean number of hours spent sleeping in a day is 14.6 hours with a standard deviation of 23. in a second group, 32 dogs are randomly assigned to receive a bed from brand p and it is recorded that they sleep a mean of 15.7 hours in a day with a standard deviation of 1.8 Give a 95% confidence interval for the average extra amount of sleep that that all dogs would get by sleeping on bed brand B versus brand A. Provide a 1-2 sentence explanation of what your results mean in addition to appropriately stating your results in a complete sentence.

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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