Explanation The contractor needs to supply the butterflies such that no butterflies are premature and the number of defective butterflies are minimum...

Statistics: Informed Decisions Using Data (5th Edition)

5th Edition

ISBN: 9780134133539

Author: Michael Sullivan III

Publisher: PEARSON

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axi…

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between…

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Chapter 1, Problem 1CS

To determine

To state: The problem.

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Chapter 1, Problem 21CT

Chapter 1, Problem 2CS

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Question 5 A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a process. (a) If three-sigma limits are used, find the sample size for the control charte 2 (b) Use the Poisson approximation to the binomial to find the probability of type I error. (c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction defective is actually p = 0.20.

Question 8 Ten parts are measured three times by the same operator in a gauge capability study. The data are shown in Table 4. (a) Describe the measurement error that results from the use of this gauge. I (b) Estimate total variability and product variability. (c) What percentage of total variability is due to the gauge? (d) If specifications on the part are at 100±15, find the P/T ratio for this gauge. Comment on the adequacy of the gauge. 3 Table 4: Measurement Data for Question 8 Part Number Measurement 1 Measurement 2 Measurement 3 1 2 100 95 101 100 93 97 3 101 103 100 4 96 95 97 5 98 98 96 6 99 98 98 7889 95 97 98 100 99 98 100 100 97 10 100 98 98 99

Question 6 The data shown in Table 3 are and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345). Perform a process capability analysis using and R charts for the data from Table 3. Table 3: Data for Question 6 Sample Number R | Sample Number I Ꭱ 1 34.5 3 13 35.4 8 2 34.2 4 14 34.0 6 ∞∞ 31.6 15 37.1 5 4 31.5 4 16 34.9 7 56789 35.0 5 17 33.5 4 34.1 6 18 31.7 3 32.6 4 19 34.0 8 33.8 3 20 35.1 4 34.8 7 10 33.6 8 11 31.9 3 12 38.6 9 2232 21 33.7 2 32.8 1 33.5 24 34.2 2 32 3

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Statistics: Informed Decisions Using Data (5th Edition)

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