CENGAGENOW FOR ANDERSON/SWEENEY/WILLIAM
CENGAGENOW FOR ANDERSON/SWEENEY/WILLIAM
13th Edition
ISBN: 9781337094399
Author: Cochran
Publisher: IACCENGAGE
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Chapter 20.2, Problem 2E

An item with a price relative of 132 cost $10.75 in 2011. Its base year was 1994.

  1. a. What was the percentage increase or decrease in cost of the item over the 17-year period?
  2. b. What did the item cost in 1994?
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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.
8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
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