Answered: Suppose the average weight of a sample…

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

Suppose the average weight of a sample of 25 packets of garlic cloves has a mean weight of 499.06g
with a standard deviation of 5g

Calculate the t test stat for testing the claim the mean weight is less 500g
also find the pvalue for testing the claim by entering
probability t distribution df=24<test stat

into wolframalpha.com
for example if your test is -1.5
enter
probability t distribution df=24<-1.5 into wolframalpha.com

Note that in question you use wolframalpha.com , You might not have access to wolframalpha,com in the exam but you do have access to the t table,
using the t table -t,0.05,24 =-1.711

so you know the Pvalue will be less than 0.05 if the test stat is less than -1.711

the Pvalue is 0.08

the test stat is -0.94

the Pvalue is 0.18

the test stat is -1.04

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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