Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production proce Assume a production process produces items with a mean weight of 9 ounces. a. The process standard deviation is 0.10, and the process control is set at plus or minus 2 standard deviations. Units with weights less than 8.8 or greater than 9.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.08. Assume the process control remains the same, with weights less than 8.8 or greater than 9.2 ounces being classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production proce Assume a production process produces items with a mean weight of 9 ounces. a. The process standard deviation is 0.10, and the process control is set at plus or minus 2 standard deviations. Units with weights less than 8.8 or greater than 9.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.08. Assume the process control remains the same, with weights less than 8.8 or greater than 9.2 ounces being classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
Question is attached in SS
greatly aprpeciated taanks
greherherher
![Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process.
Assume a production process produces items with a mean weight of 9 ounces.
a. The process standard deviation is 0.10, and the process control is set at plus or minus 2 standard deviations. Units with weights less
than 8.8 or greater than 9.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
b. Through process design improvements, the process standard deviation can be reduced to 0.08. Assume the process control remains
the same, with weights less than 8.8 or greater than 9.2 ounces being classified as defects. What is the probability of a defect (to 4
decimals)?
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
c. What is the advantage of reducing process variation, thereby causing a problem limits to be at a greater number of standard
deviations from the mean?
- Select your answer -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78dcd009-b17a-4acd-b9a3-10d200fc1412%2F3b25ab73-6a00-46a2-b490-a25f9cb72d28%2Fu64908b_processed.png&w=3840&q=75)
Transcribed Image Text:Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process.
Assume a production process produces items with a mean weight of 9 ounces.
a. The process standard deviation is 0.10, and the process control is set at plus or minus 2 standard deviations. Units with weights less
than 8.8 or greater than 9.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
b. Through process design improvements, the process standard deviation can be reduced to 0.08. Assume the process control remains
the same, with weights less than 8.8 or greater than 9.2 ounces being classified as defects. What is the probability of a defect (to 4
decimals)?
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
c. What is the advantage of reducing process variation, thereby causing a problem limits to be at a greater number of standard
deviations from the mean?
- Select your answer -
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1: Given Information
Given that,
The mean weight of the items is 9 ounces.
The standard deviation is 0.10 ounces.
The process control is set at standard deviation, which means defects are defined as items with weights less than 8.8 or greater than 9.2 ounces.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 20 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt