Answered: From the long time ex_perience, it is…

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

From the long time ex_perience, it is kn=own that the str_ength of a specific wire made by
an existi_ng pro_cess has a m_ean of 1260 and a sta_ndard deviation of 200. A batch of wire is made
by a new process, and a rand_om sample consisting of 36 measurements gives an average strength
of 1302. Assume that the standard deviation does not change. At the 5% level of significance, use
the hyp_othesis testing to te_st if we shou_ld believe th_at the new pr_ocess gives a lar=ger mean stre_ngth
than tha=t of the old pr=ocess. (Please write it on paper)

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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