Explanation Calculation: Out-of-control warning signals: Type I: Any point lying beyond 3 σ limits. Type II: Run of nine consecutive points either above the center line μ or below the center line. Type III: At least two out of three consecutive points lying beyond 2 σ limits. The index has a mean of about 90 (rated as fair) with a standard deviation of approximately 30. That is, μ = 90 , σ = 30 . The control limits for 2 standard deviations is, μ ± 2 σ = 90 ± ( 2 × 30 ) = 90 ± 60 = ( 90 − 60 , 90 + 60 ) = ( 30 , 150 ) The control limits for 3 standard deviations is, μ ± 3 σ = 90 ± ( 3 × 30 ) = 90 ± 90 =

Bundle: Understandable Statistics: Concepts And Methods, 12th + Jmp Printed Access Card For Peck's Statistics + Webassign Printed Access Card For ... And Methods, 12th Edition, Single-term

12th Edition

ISBN: 9781337758925

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Chapter 6.1, Problem 15P

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Construct a control chart for the visibility standard index by plotting the data.

Identify the out-of-control signals by type (I, II, or III).

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Chapter 6.1, Problem 14P

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Bundle: Understandable Statistics: Concepts And Methods, 12th + Jmp Printed Access Card For Peck's Statistics + Webassign Printed Access Card For ... And Methods, 12th Edition, Single-term

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Construct a control chart for the visibility standard index by plotting the data. Identify the out-of-control signals by type (I, II, or III).

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