Answered: Directions: Determine the parameter to…

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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Directions: Determine the parameter to be tested in the given problems below. 1. An electric lamps manufacturer is testing a new method of producing lamps that will be considered acceptable in a normal population with an average life of 2,600 hours and a standard deviation equal to 350. A sample of 80 lamps produced by this method has an average life of 2,630 hours. Can the hypothesis of validity for the new manufacturing process be accepted with a risk equal to or less than 5%? 2. A car dealer claims that the average price of Honda Vios is at least ₱662,000.00. A client suspected that the claim is incorrect and found that random sample of 15 similar vehicles has the mean price of ₱640,000.00 and standard deviation of ₱ 24,000.00. Is there enough evidence to reject the dealer’s claim at ? = 0.05?

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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