STATISTICAL TECHNIQUES FOR BUSINESS AND
STATISTICAL TECHNIQUES FOR BUSINESS AND
17th Edition
ISBN: 9781307261158
Author: Lind
Publisher: MCG/CREATE
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Chapter 13, Problem 51CE

a.

To determine

Construct a scatter diagram.

Check whether there is relationship between the variables.

b.

To determine

Find the correlation coefficient.

Check whether the correlation coefficient is greater than zero.

c.

To determine

Find coefficient of determination and interpret it.

d.

To determine

Find the estimate of standard error.

e.

To determine

Explain whether one would recommend using the regression equation to predict the shipping time and explain the reason.

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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.

Chapter 13 Solutions

STATISTICAL TECHNIQUES FOR BUSINESS AND

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