View the step-by-step solution to: 1. A quality analyst wants to construct a sample mean chart for

1. A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that the process standard deviation is two ounces. Each day last week, he randomly selected four packages and weighed each. The data from that activity appears below. Weight Day Package 1 Package 2 Package 3 Package 4 Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 (a)Calculate all sample means and the mean of all sample means. (b)Calculate upper and lower control limits that allow for natural variations. (c)Is this process in control? 2.Cartons of Plaster of Paris are supposed to weigh exactly 32 oz. Inspectors want to develop process control charts. They take ten samples of six boxes each and weigh them. Based on the following data, compute the lower and upper control limits and determine whether the process is in control. Sample Mean Range 1 33.8 1.1 2 34.6 0.3 3 34.7 0.4 4 34.1 0.7 5 34.2 0.3 6 34.3 0.4 7 33.9 0.5 8 34.1 0.8 9 34.2 0.4 10 34.4 0.3 3.The width of a bronze bar is intended to be one-eighth of an inch (0.125 inches). Inspection samples contain five bars each. The average range of these samples is 0.01 inches. What are the upper and lower control limits for the X-bar and R-chart for this process, using 3-sigma limits? 4.A part that connects two levels should have a distance between the two holes of 4". It has been determined that X-bar and R-charts should be set up to determine if the process is in statistical control. The following ten samples of size four were collected. Calculate the control limits, plot the control charts, and determine if the process is in control. Mean Range Sample 1 4.01 0.04 Sample 2 3.98 0.06 Sample 3 4.00 0.02 Sample 4 3.99 0.05 Sample 5 4.03 0.06 Sample 6 3.97 0.02 Sample 7 4.02 0.02 Sample 8 3.99 0.04 Sample 9 3.98 0.05 Sample 10 4.01 0.06
Homework_Questions_Quality1.docx

1.

A quality analyst wants to construct a sample mean chart for controlling a packaging
process. He knows from past experience that the process standard deviation is two ounces.
Each day last week, he randomly selected four packages and weighed each. The data from
that activity appears below.

Day
Monday
Tuesday
Wednesday
Thursday
Friday

Package 1
23
23
20
18
18

Weight
Package 2
22
21
19
19
20

Package 3
23
19
20
20
22

Package 4
24
21
21
19
20

(a) Calculate all sample means and the mean of all sample means.
(b) Calculate upper and lower control limits that allow for natural variations.
(c) Is this process in control?
2.

Cartons of Plaster of Paris are supposed to weigh exactly 32 oz. Inspectors want to develop process
control charts. They take ten samples of six boxes each and weigh them. Based on the following
data, compute the lower and upper control limits and determine whether the process is in control.

Sample

Mean

Range

1
2
3
4
5
6
7
8
9
10

33.8
34.6
34.7
34.1
34.2
34.3
33.9
34.1
34.2
34.4

1.1
0.3
0.4
0.7
0.3
0.4
0.5
0.8
0.4
0.3

1

3.

The width of a bronze bar is intended to be one-eighth of an inch (0.125 inches). Inspection
samples contain five bars each. The average range of these samples is 0.01 inches. What are the
upper and lower control limits for the X-bar and R-chart for this process, using 3-sigma limits?

4.

A part that connects two levels should have a distance between the two holes of 4". It has been
determined that X-bar and R-charts should be set up to determine if the process is in statistical
control. The following ten samples of size four were collected. Calculate the control limits, plot
the control charts, and determine if the process is in control.

Sample 1
Sample 2
Sample 3
Sample 4
Sample 5
Sample 6
Sample 7
Sample 8
Sample 9
Sample 10

2

Mean
4.01
3.98
4.00
3.99
4.03
3.97
4.02
3.99
3.98
4.01

Range
0.04
0.06
0.02
0.05
0.06
0.02
0.02
0.04
0.05
0.06

Sign up to view the entire interaction

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors and customizable flashcards—available anywhere, anytime.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access or to earn money with our Marketplace.

    Browse Documents
  • 890,990,898

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
  • 890,990,898

    Flashcards

    Browse existing sets or create your own using our digital flashcard system. A simple yet effective studying tool to help you earn the grade that you want!

    Browse Flashcards