EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Textbook Question
Chapter 19, Problem 27CE
An automatic machine produces 5.0-millimeter bolts at a high rate of speed. A quality control program has been initiated to control the number of defectives. The quality control inspector selects 50 bolts at random and determines how many are defective. The numbers of defectives in the first 10 samples are 3, 5, 0, 4, 1, 2, 6, 5, 7, and 7.
- a. Design a p-chart. Insert the
mean proportion defective, UCL, and LCL. - b. Plot the proportion defective for the first 10 samples on the chart.
- c. Interpret the chart.
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6. Show that
1{AU B} = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B};
I{AB} = min{I{A}, I{B}} = I{A} I{B};
I{A A B} = I{A} + I{B}-21{A} I {B} = (I{A} - I{B})².
Theorem 3.5 Suppose that P and Q are probability measures defined on the same
probability space (2, F), and that F is generated by a л-system A. If P(A) = Q(A)
for all A = A, then P = Q, i.e., P(A) = Q(A) for all A = F.
6. Show that, for any random variable, X, and a > 0,
Lo P(x
-00
P(x < x
Chapter 19 Solutions
EBK STATISTICAL TECHNIQUES IN BUSINESS
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