Answered: The accuracy of a coin -counter machine…

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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The accuracy of a coin -counter machine is gauged to accept nickels with a mean diameter of a millimeters 21.21mm . A sample of 42 buckles was drawn from a reported defective coin counter machine located near school . The sample had a sample mean of 21.21mm and a sample standard deviation 0.012mm test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21mm. Test at the 0.05 significant level.

a) identify the correct alternative hypotheses Ha:

u=21.22

u>21.21

u<21.21

b) give all answers to 4 decimal places

the test statistic value is

using the traditional method, critical value is

nased on your answer above do you failed to reject H 0 or reject H0

explain your choice

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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