Homework Help is Here – Start Your Trial Now!
Math
Probability
3 The production process for engine control housing units of a particular type has recently been modified. Prior to this modification, historical data had suggested that the distribution of hole diameters for bushings a affected the shape of the distribution or the standard deviation, but that the value of the mean diameter may have changed. A sample of 40 housing units is selected and hole diameter is determined for each one. diameter using a confidence level of 90%. This requires that 100(1-a)-5.446 x. from which a and Za/2 20.05 1.645 (corresponding to a cumulative z-curve area of 0.950 0.100 5.4261045 5.426 0.026 (5.400, 5.452)

3 The production process for engine control housing units of a particular type has recently been modified. Prior to this modification, historical data had suggested that the distribution of hole diameters for bushings a affected the shape of the distribution or the standard deviation, but that the value of the mean diameter may have changed. A sample of 40 housing units is selected and hole diameter is determined for each one. diameter using a confidence level of 90%. This requires that 100(1-a)-5.446 x. from which a and Za/2 20.05 1.645 (corresponding to a cumulative z-curve area of 0.950 0.100 5.4261045 5.426 0.026 (5.400, 5.452)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question
100%
3 The production process for engine control housing units of a particular type has recently been modified. Prior to this modification, historical data had suggested that the distribution of hole diameters for bushings on the housings was normal with a standard deviation of 0.100 mm. It is believed that the modification has not affected the shape of the distribution or the standard deviation, but that the value of the mean diameter may have changed. A sample of 40 housing units is selected and hole diameter is determined for each one, resulting in a sample mean diameter of 5.426 mm. Let's calculate a confidence interval for true average hole diameter using a confidence level of 90%. This requires that 100(1-a) = 5.446 X from which α = .1 ✔and Za/2 = 20.05 = 1.645 (corresponding to a cumulative z-curve area of 0.9500). The desired interval is then 0.100 √40 = 5.426 ± 0.026 = (5.400, 5.452) With a reasonably high degree of confidence, we can say that 5.400 < < 5.452. This interval is rather narrow because of the small amount of variability in hole diameter (a = 0.100). 5.426 1.645
Transcribed Image Text:3 The production process for engine control housing units of a particular type has recently been modified. Prior to this modification, historical data had suggested that the distribution of hole diameters for bushings on the housings was normal with a standard deviation of 0.100 mm. It is believed that the modification has not affected the shape of the distribution or the standard deviation, but that the value of the mean diameter may have changed. A sample of 40 housing units is selected and hole diameter is determined for each one, resulting in a sample mean diameter of 5.426 mm. Let's calculate a confidence interval for true average hole diameter using a confidence level of 90%. This requires that 100(1-a) = 5.446 X from which α = .1 ✔and Za/2 = 20.05 = 1.645 (corresponding to a cumulative z-curve area of 0.9500). The desired interval is then 0.100 √40 = 5.426 ± 0.026 = (5.400, 5.452) With a reasonably high degree of confidence, we can say that 5.400 < < 5.452. This interval is rather narrow because of the small amount of variability in hole diameter (a = 0.100). 5.426 1.645
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS