STATISTICAL TECHNIQUES IN BUS.+ECON.
STATISTICAL TECHNIQUES IN BUS.+ECON.
18th Edition
ISBN: 9781260239478
Author: Lind
Publisher: RENT MCG
Question
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Chapter 18, Problem 27CE

a.

To determine

To calculate: Five period moving average for the given time series data.

b.

To determine

To calculate: The MAD

c.

To determine

To calculate: The forecast demand for period 17 .

d.

To determine

To calculate: The error associated with seventeenth-period forecast.

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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.
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