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

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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

Step 1: Given Information

Given that,

The mean weight of the items $open parentheses mu close parentheses$ is 9 ounces.

The standard deviation $open parentheses sigma close parentheses$ is 0.10 ounces.

The process control is set at $plus-or-minus 2$ standard deviation, which means defects are defined as items with weights less than 8.8 or greater than 9.2 ounces.