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Description: Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages is accurate. Suppose that a random sample of n=12 frozen dinners of a certain type was se

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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Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages is accurate. Suppose that a random sample of n=12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations.

255	244	239
242	265	245
259	248	225
226	251	233

The manufacturer claims that the mean calorie content for this particular type of frozen dinner is 240. Carry out a formal test of the hypothesis.

I need to know how to do thise by hand not by using excel.

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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