An operations manager wants to know whether the maintenance of a filling machine for 2 litre milk bottles has made a difference in the average fill of the milk bottle. She randomly selects 25 bottles before the maintenance service, and 25 bottles after the maintenance service has taken place.The resulting SPSS output is shown below:Paired Samples Statistics MeanNStd. DeviationStd. Error MeanPair 1After Service2.002925.01142.00228 Before service1.968725.03193.00639 Paired Samples Test Paired Differences t df Sig. (2-tailed) Mean Std.Deviation Std. Error Mean95% Confidence Interval of theDifferenceLowerUpperPair 1After Service – Before service .03420 .03503 .00701 .01974 .04866 4.882 24 .000 Question: Based on the output choose the most accurate answer

The Hypothesis would be : Null Hypothesis : The maintenance of a filling machine for 2 litre milk…

Answered: An operations manager wants to know…

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

An operations manager wants to know whether the maintenance of a filling machine for 2 litre milk bottles has made a difference in the average fill of the milk bottle. She randomly selects 25 bottles before the maintenance service, and 25 bottles after the maintenance service has taken place.

The resulting SPSS output is shown below:

Paired Samples Statistics

	Mean	N	Std. Deviation	Std. Error Mean
Pair 1	After Service	2.0029	25	.01142	.00228
	Before service	1.9687	25	.03193	.00639

Paired Samples Test

	Paired Differences	t	df	Sig. (2- tailed)
Mean	Std. Deviation	Std. Error Mean	95% Confidence Interval of the Difference
Lower	Upper
Pair 1	After Service – Before service	.03420	.03503	.00701	.01974	.04866	4.882	24	.000

Question: Based on the output choose the most accurate answer

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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