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Name: A machine being used for packaging seedless golden raisins has been se
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Description: A machine being used for packaging seedless golden raisins has been set so that on average, 15 ounces of raisins will be packaged per box. The quality control engineer wishes to test the machine setting and selects a sample of 30 consecutive raisin p

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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A machine being used for packaging seedless golden raisins has been set so that on average, 15 ounces of raisins will be packaged per box. The quality control engineer wishes to test the machine setting and selects a sample of 30 consecutive raisin packages filled during the production process. Their weights are recorded as follows:

15.2 15.3 15.1 15.7 15.3 15.0 15.1 14.3 14.6 14.5 15.0 15.2 15.4 15.6 15.7 15.4 15.3 14.9 14.8 14.6 14.3 14.4 15.5 15.4 15.2 15.5 15.6 15.1 15.3 15.1

At the 5% level of significance, is there evidence that the mean weight per box is different from 15 ounces? Use the 5-step classical rejection region critical value decision rule for this problem. You may use the TI-84 t-test option to calculate the test statistics (tStat). For the rejection region approach recall that we look up the tcritical on the t table, tα,n-1 for a 1 tail and tα/2,n-1 for a 2 tail test. State the meaning of µ, then list the 5 steps. See lecture #14. If you reject Ho, construct a (1-α)% CI for µ, and state what we think µ is now after you reject Ho.

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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