Answered: the weight of the average Thanksgiving…

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

A famous slogan is “Everything is bigger in Texas.” A researcher was interested in testing whether the weight of the average Thanksgiving turkey was heavier than the average of 15 pounds (the mean given in Investigation 3 for the average turkey weight in Fairfax County from 2020). A random sample of 17 turkeys sold in Dallas County, Texas was selected and the data are found in the data set “Dallas Turkey Weights.”

Calculate the test statistic “by-hand.” Show the work necessary to obtain the test statistic by showing all your steps and providing the resulting test statistic. Do not round anything during the calculation. Then, round the test statistic to three decimal places after you complete the calculation.

Summary statistics:
Column
Mean
Std. dev.
Weight
16.819412
2.2527996

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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