at moves the parts past a final inspection station. How fast the parts move past eeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this the awdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collecte nspection station depends upon the conveyor beit (reet per minute). Although faste Number of Line Defective Parts Found Speed 20 24 20 22 30 18 30 15 40 14 40 16 50 15 50 12 a) Develop a scatter diagram with the line speed as the independent variable. 25 25 25 20 20- 20 : : 15 15 15 10 10 5 10 20 30 40 50 60 10 20 30 40 50 60 10 20 30 40 50 60 Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) Number of Defective Parts Number of Defective Parts Number of Defective Parts

at moves the parts past a final inspection station. How fast the parts move past eeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this the awdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collecte nspection station depends upon the conveyor beit (reet per minute). Although faste Number of Line Defective Parts Found Speed 20 24 20 22 30 18 30 15 40 14 40 16 50 15 50 12 a) Develop a scatter diagram with the line speed as the independent variable. 25 25 25 20 20- 20 : : 15 15 15 10 10 5 10 20 30 40 50 60 10 20 30 40 50 60 10 20 30 40 50 60 Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) Number of Defective Parts Number of Defective Parts Number of Defective Parts

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Description: 25 T2015:105102030405060Line Speed (feet per minute)(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?There appears to be a positive relationship between line speed (feet per minute) an

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

100%

25 T
20
15
:
10
5
10
20
30
40
50
60
Line Speed (feet per minute)
(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts.
There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts.
There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts.
(c) Use the least squares method to develop the estimated regression equation.
(d) Predict the number of defective parts found for a line speed of 45 feet per minute.
Number of Defective Parts
O O O

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt
that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line
speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory,
Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected.
Number of
Line
Defective
Speed
Parts Found
20
24
20
22
30
18
30
15
40
14
40
16
50
15
50
12
(a) Develop a scatter diagram with the line speed as the independent variable.
25
25 T
25
:
20
20
15
15
10
10
10
20
30
40
50
60
10
20
30
40
50
60
10
20
30
40
50
60
Line Speed (feet per minute)
Line Speed (feet per minute)
Line Speed (feet per minute)
Number of Defective Parts
20
Number of Defective Parts
Number of Defective Parts

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