ZuoTi.Pro
Question

A certain process is under statistical control and has a mean value of 130 and a...

A certain process is under statistical control and has a mean value of 130 and a standard deviation of 8. The specifications for the process are: a. USL (upper specification limit) = 150 b. LSL(lower specification limit) =100 a. Calculate the cp and cpk b. Which of these indices is a better measure of process capability and why? c. Assuminng a normal distribution what percentage of output is expected to fall ourside the specification. Why is it important to know this? d. What would you recommend?

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

Homework Answers

Answer #1

Given: Upper Specification limit, USL= 150

Lower Specification limit, LSL =100

Actual Mean, M = 130, Standard deviation: sd= 8

Answer a: Process capability ratio: Cp= (upper specification-lower specification)/6sd= 1.042

Answer b: Process capability index: Cpk= Min [(M-LSL)/3sd; (USL-M)/3sd]= Min [1.25; 0.833]= 0.833

Cpk is better because it considers the mean value as compared to Cp which does not.

Answer c:

Upper Specification limit USL 150
Lower Specification limit LSL 100
Mean, m 130
Standard deviation, sd 8
z ROUND((USL-m)/sd, 2) 2.5
Probability NORMSDIST(z) 0.9938
Probability of rejection 2*(1-probability) 1.24%

it is important to know this because it gives us an estimation of number of defected products which will be a loss for an organization.

Answer d: Because rejection is 1.24%, it is pretty high, therefore the company should think about reusing the rejected part. The company should also increase the precision of their machines.

0 0
Add a comment
Know the answer?
Add Answer to:
A certain process is under statistical control and has a mean value of 130 and a...
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

  • What is the maximum hourly output from a process with four steps having outputs of 20...

    What is the maximum hourly output from a process with four steps having outputs of 20 units/hour, 25 units/hour, 30 units/hour and 15 units/hour? 20,25,30, or 15 Which error type indicates null hypothesis being rejected when it is true? 1,2,3,or 4 What is the performance factor of a workstation under 8-hour shift with 20 minutes cleaning and two 30-minute break and no unplanned downtime, cycle time 1 second and 18,000 items produced? .50,.75,.25,or 1.00 What is the Process Capability index...

  • 15-A process produces bags of a certain type of chocolate. The Cp and Cpk to measure...

    15-A process produces bags of a certain type of chocolate. The Cp and Cpk to measure process capability based on the weight of the bags are equal to 1 and -5, respectively. If the lower control limit equals 1.4 lbs and the standard deviation of the weights is 0.1 Ibs, what is the value for the mean of the process? A) 2 grams B) 2.5 grams D) 3.5 grams E) 4 grams

  • Name (Full Name) kla Sen Adm. No. 28 1212 SNo 20 Date: TIME ALLOWED: 45 mins Answer all questions Formulae are pr...

    Name (Full Name) kla Sen Adm. No. 28 1212 SNo 20 Date: TIME ALLOWED: 45 mins Answer all questions Formulae are printed on the last page of the question paper. 1. The diameter of a part has to fit an assembly. The specifications for the diameter are 540.015cm. Samples taken from the process in control yielded a sample mean (X o 4.99cm and sample standard deviation (s) of 0.004cm. The upper process capability limit (UNTL) and lower process capability limit...

  • QUESTION 25 (10 points) ‐ Process Capability Indexes A ball bearing design for wheel assemblies used...

    QUESTION 25 (10 points) ‐ Process Capability Indexes A ball bearing design for wheel assemblies used in giant mining dump trucks requires the inner diameter to have a lower specification unit (LSL) of 1,097.50 mm and an upper specification unit (USL) of 1,102.50 mm. A simple random sample of 270 finished ball bearings, which were produced by an approximately normally distributed process, has the sample average of 1101.20 mm and the sample standard deviation of 0.60 mm. A too small...

  • QUESTION 25 (10 points) Process Capability Indexes A ball bearing design for wheel assemblies used in...

    QUESTION 25 (10 points) Process Capability Indexes A ball bearing design for wheel assemblies used in giant mining dump trucks requires the inner diameter to have a lower specification unit (LSL) of 1,097.50 mm and an upper specification unit (USL) of 1,102.50 mm. A simple random sample of 270 finished ball bearings, which were produced by an approximately normally distributed process, has the sample average of 1101.20 mm and the sample standard deviation of 0.60 mm. A too small inner...

  • Given an upper specification limit of 40, a lower specification limit of 25, mean process performance...

    Given an upper specification limit of 40, a lower specification limit of 25, mean process performance of 30, and a process standard deviation of 3: a. Calculate Cp b. Calculate Cpk c. Is the process performance acceptable – if not, why? d. To identify factors targeting process improvement the design should be set up to explore factors affecting both process mean and process __________________ .

  • Q1(4 marks) fill in the blank: 1 The process is said to be in control state if two conditions are satisfied: a) b) These are two unnatural patterns of variation within data points in a control ch...

    Q1(4 marks) fill in the blank: 1 The process is said to be in control state if two conditions are satisfied: a) b) These are two unnatural patterns of variation within data points in a control chart 2. a) b) 03(20 marks) The bottling machine at JUCE company is being evaluated for its capability BottlingAverage Sample machinestandard deivation Sample size 0.1228 The bottles weight specications are set between 15.8 and 16.2 ounces, and the process mean value is 15.9 ounces...

  • A certain process has specifications of 15 to 25 for a particular characteristic. An X-bar/R control...

    A certain process has specifications of 15 to 25 for a particular characteristic. An X-bar/R control chart has bee in-pace and R-bar was 7.6; X-double-bar was 20.0, for a week there were no out-of-control points or patterns detected. Is this process capable of producing this characteristic within this specification? The subgroup size was 5. Second provide the cp value?

  • Inc., is conducting a study to assess the capability of its 150-gram bar soap production line. A ...

    Inc., is conducting a study to assess the capability of its 150-gram bar soap production line. A critical quality measure is the weight of the soap bars after sampling. The lower and upper specification limits are 162 and 170 grams, respectively. As a part of an initial capability study, 25 samples of size 5 were collected by the quality assurance group and the observations in Table given were recorded. After analyzing the data by using statistical control charts, the T’Challa’s...

  • Process Capablity Sixpack Report for Suppa 1. The process for supplier 2 is operaing under a. Com...

    Process Capablity Sixpack Report for Suppa 1. The process for supplier 2 is operaing under a. Common cause b Special cause c Both common and special cause d Neither special or common cause 2. Wthin variation is basicaly a. An estimate of the shor-tem varation caloulating an average range b. An estimate of the long-lerm varation An estimate of the shor-em varaion caloulating an estimate for the standard deviation based on ranges of the samples d. An estimate of the...

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
ADVERTISEMENT