HomeworkLib
Question

A company selects five samples (kequals=5​) of size four (nequals=4​) parts used in a production process...

A company selects five samples (kequals=5​) of size four (nequals=4​) parts used in a production process and measures the diameter of each part. Develop an

x overbarx chart to determine if the process is stable or not

Sample

Obs1

Obs2

Obs3

Obs4

1

6

7

4

7

2

5

6

7

7

3

9

8

7

7

4

6

7

7

6

5

4 4    6    5

n

Upper A 2A2

2

1.880

3

1.023

4

0.729

5

0.577

6

0.483

The upper control limit is

?
business   Operations-Management   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Solution:

For X_bar Chart the UCL is = X-bar_bar + A2 * R_bar

R_bar is the mean of ranges of all the 5 levels and A2 is a constant which depends on the sample size.

Hence,

R_bar = (3+2+2+1+2)/5 = 2

A2 = 0.729 (constant for n = 4)

X_bar_bar = ( 6 + 6.25+.7.75+6.5+4.75)/5 = 31.25/5 = 6.25

therefore,

UCL = X-bar_bar + A2 * R_bar = 6.25 + 0.729 * 2 = 6.25 + 1.458 = 7.708

0 0
Add a comment
Know the answer?
Add Answer to:
A company selects five samples (kequals=5​) of size four (nequals=4​) parts used in a production process...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Four samples ​(k=4​) are taken from a​ process, with each sample consisting of six observations ​...

    Four samples ​(k=4​) are taken from a​ process, with each sample consisting of six observations ​(n=6​).The length in centimeters of each sampled item was​ measured, with the following results. Develop an x chart to determine whether the process is stable or not. LOADING... Click the icon to view the samples data. Click the icon to view the values of theUpper A2 constants. The upper control limit is___ ​(Enter your response rounded to two decimal​ places.) Sample Obs1 Obs2 Obs3 Obs4...

  • 4 Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles...

    4 Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are Bottle Sample 1 2 3 0.592 0.588 0.590 0.617 2 0.598 0.587 0.580 0.585 3 0.613 0.594 0.615 0.589 0.608 0.610 0.623 0.623 5 0.572 0.623 0.572 0.585 0.582...

  • A lumber company makes plywood for commercial construction. A key quality measure is the thickness of...

    A lumber company makes plywood for commercial construction. A key quality measure is the thickness of the plywood. Every two​ hours, five pieces of plywood ​(n=5​) are selected and the thicknesses are measured. The data​ (in inches) for the first 20 samples are listed below. Develop an x overbarx chart to determine if the process is stable or not.   Click the icon to view the data for the first 2020 samples. Click the icon to view the values of the...

  • The Money Pit Mortgage Company is interested in monitoring the performance of the mortgage process. Fifteen...

    The Money Pit Mortgage Company is interested in monitoring the performance of the mortgage process. Fifteen samples of five completed mortgage transactions each were taken during a period when the process was believed to be in control. The times to complete the transactions were measured. The means and ranges of the mortgage process transaction​ times, measured in​ days, are as​ follows: b. Sample123456789 10 11 12 13 14 15 Mean 5 103 7 8 13 14 9 9 9 5...

  • Problem 6s.10 Question Help Refer to for this problem A process that is considered to be in contr...

    can somebody help with step by step solving these questions?? Problem 6s.10 Question Help Refer to for this problem A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n standard deviation is 1.36. 5) taken. The population process 1 2345691 11 13 14 119 10 128 11 12 91 8 710138 0 13 1012 12 80 129 3 12 91119 9 10 11 a) Standard deviation...

  • Problem 6s.11ac Question Help Refer to Table $6.1 - Factors for Computing Control Chart Limits (3...

    Problem 6s.11ac Question Help Refer to Table $6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Mean Range qe (in.) (in.) 9.402 0.033 9.404 0.041 9.391 0.034 9.408 0.051 9.399 0.031...

  • A) Set the control limits for the process for the x(bar) chart when the maching is working proper...

    round to 3 decimal places ? A) Set the control limits for the process for the x(bar) chart when the maching is working properly UCL-x-? grams (round to two decimal places) LCL-x grams (round to two decimal places) B) Set the control limits for this process for the R-chart. UCLrgrams (round to two decimal places) LCLr grams (round to two decimal places) Refer to the table Factors for Computing Control Chart Limits (3 sigma) for this problem. Your supervisor, Lisa...

  • The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the...

    The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 47 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 8 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 7 grams....

  • Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from...

    Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle? neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions? (in.) from the last six samples are Bottle Sample 1 2 3 4 1 0.5910.591 0.6170.617 0.6020.602 0.5900.590 2 0.5830.583 0.5860.586 0.5800.580 0.5900.590 3 0.5760.576 0.5750.575 0.5860.586 0.6190.619 4 0.6220.622 0.6190.619 0.6180.618 0.5720.572 5 0.6050.605 0.5840.584 0.6200.620...

  • Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at...

    Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at Emmanual​ Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results​ were: SAMPLE SAMPLE MEAN (IN.) RANGE (IN.) SAMPLE SAMPLE MEAN (IN.) RANGE (IN.) 1 9.104 0.044 7 9.103 0.021 2 9.100 0.051 8 9.103 0.058 3 9.089 0.042 9 9.097 0.039 4 9.108 0.037 10 9.103 0.038 5...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT