Answered: typical bag of rice weighs 67.5 pounds.…

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 typical bag of rice weighs 67.5 pounds. A consumer suspects and claims that the mean weight of all bags of rice sold in a local public market is less than the mean weight of all bags of rice sold in a grocery store. To validate this claim, random samples of 12 showed 67.035 pounds (stdev = 1.557 lbs) and 14 bags of rice with mean 66.9607 pounds (stdev = 2.112 lbs) taken from a local market and a grocery store, respectively. Assume that the distributions of both populations are approximately normal, and the population standard deviations are not equal. At alpha = 0.05, is there sufficient evidence to support the consumer’s claim?

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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