An article in The Engineer ("Redesign for Suspect Wiring." June 1990) reported the results of an investigation into wiring errors on commercial transport aircraft that may produce faulty information to the flight crew. Such a wiring error may have been responsible for the crash of a British Midland Airways aircraft in January 1989 by causing the pilot to shut down the wrong engine. Of 1600 randomly selected aircraft, sixteen were found to have wiring errors that could display incorrect information to the flight crew. (a) Find a 90% confidence interval on the proportion of aircraft that have successful wirings. Blank 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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Final answers should be up to 4 decimal places only. For even smaller numbers, round off to the nearest non-zero digit.
An article in The Engineer ("Redesign for Suspect Wiring." June 1990) reported the results of an investigation into wiring errors
on commercial transport aircraft that may produce faulty information to the flight crew. Such a wiring error may have been
responsible for the crash of a British Midland Airways aircraft in January 1989 by causing the pilot to shut down the wrong
engine. Of 1600 randomly selected aircraft, sixteen were found to have wiring errors that could display incorrect information to
the flight crew.
(a) Find a 90% confidence interval on the proportion of aircraft that have successful wirings.
Blank 1 <p < Blank 2
(b) Suppose we use the information in this example to provide a preliminary estimate of p. How large a sample would be
required to produce an estimate of p that we are 95% confident differs from the true mean wiring errors by at most 0.008?
Blank 3 aircrafts
(C) Suppose we did not have a preliminary estimate of p. How large a sample would be required if we wanted to be at least 90%
confident that the sample proportion differs from the true proportion of successfully wired aircrafts by at most 0.008 regardless
of the true value of p?
Blank 4 aircrafts
Transcribed Image Text:An article in The Engineer ("Redesign for Suspect Wiring." June 1990) reported the results of an investigation into wiring errors on commercial transport aircraft that may produce faulty information to the flight crew. Such a wiring error may have been responsible for the crash of a British Midland Airways aircraft in January 1989 by causing the pilot to shut down the wrong engine. Of 1600 randomly selected aircraft, sixteen were found to have wiring errors that could display incorrect information to the flight crew. (a) Find a 90% confidence interval on the proportion of aircraft that have successful wirings. Blank 1 <p < Blank 2 (b) Suppose we use the information in this example to provide a preliminary estimate of p. How large a sample would be required to produce an estimate of p that we are 95% confident differs from the true mean wiring errors by at most 0.008? Blank 3 aircrafts (C) Suppose we did not have a preliminary estimate of p. How large a sample would be required if we wanted to be at least 90% confident that the sample proportion differs from the true proportion of successfully wired aircrafts by at most 0.008 regardless of the true value of p? Blank 4 aircrafts
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