Introduction to Probability and Statistics
Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 12.7, Problem 12.41E

a)

To determine

To find: The lest-square line for the provided data set.

b)

To determine

To construct: The appropriate graph.

c)

To determine

To calculate: The value of s2 .

d)

To determine

To find: Whether data provide sufficient evidence to show that the length of decision time is linearly related to the number of alternative package designs.

e)

To determine

To find: The approximate p -value and interpret it.

f)

To determine

To examine: The diagnostic plots, if possible.

g)

To determine

To find: The average length time of the time necessary to reach a decision when three alternatives are presented using 95% confidence interval.

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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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