STAT TECH IN BUSINESS & ECON LL\AC
STAT TECH IN BUSINESS & ECON LL\AC
18th Edition
ISBN: 9781264720545
Author: Lind
Publisher: MCG
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Chapter 8, Problem 3E

Listed below are the 35 members of the Metro Toledo Automobile Dealers Association. We would like to estimate the mean revenue from dealer service departments. The members are identified by numbering them 00 through 34.

Chapter 8, Problem 3E, Listed below are the 35 members of the Metro Toledo Automobile Dealers Association. We would like to

  1. a. We want to select a random sample of five dealers. The random numbers are 05, 20, 59, 21, 31, 28, 49, 38, 66, 08, 29, and 02. Which dealers would be included in the sample?
  2. b. Use the table of random numbers to select your own sample of five dealers.
  3. c. Using systematic random sampling, every seventh dealer is selected starting with the fourth dealer in the list. Which dealers are included in the sample?
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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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