ZuoTi.Pro
Question

As part of the process for improving the quality of their cars, Toyota engineers have identified...

As part of the process for improving the quality of their cars, Toyota engineers have identified a potential improvement to the process that makes a washer that is used in the accelerator assembly. The tolerances on the thickness of the washer are fairly large since the fit can be loose, but if it does happen to get too large, it can cause the accelerator to bind and create a potential problem for the driver. (Note: This part of the case has been fabricated for teaching purposes and none of these data were obtained from Toyota.)

   Let’s assume that as a first step to improving the process, a sample of 40 washers coming from the machine that produces the washers was taken and the thickness measured in millimeters. The following table has the measurements from the sample:

1.9 2.1 2.1 2.4 1.7 1.9 1.8 2.2 2.4 2.0
1.9 2.2 2.0 2.3 2.0 2.1 2.0 1.8 1.7 1.9
2.1 1.9 1.8 2.2 2.1 2.2 1.9 1.8 2.1 2.0
1.7 1.5 2.1 2.4 2.2 2.1 2.1 2.3 1.7 1.9

  

Use the appropriate Excel function to compute normal distribution probabilities in Parts a, b, e and f.

a. If the specification is such that no washer should be greater than 2.5 millimeters, assuming that the thicknesses are distributed normally, what percentage of output is expected to be greater than this thickness? (Round your answer to 2 decimal places.)

Percentage of output             %

b. What if there is an upper and lower specification, where the upper thickness limit is 2.5 and the lower thickness limit 1.4, what percentage of output is expected to be out of tolerance? (Round your answer to 2 decimal places.)

Percentage of the output             %

c. What is the Cpk for the process? (Round your answer to 4 decimal places.)

Cpk            

d. What would be the Cpk for the process if it were centered (assume the process standard deviation is the same)? (Round your answer to 3 decimal places.)

Cpk            

e. What percentage of output would be expected to be out of tolerance if the process were centered? (Round your answer to 2 decimal places.)

Percentage of output             %

f. If the process could be improved so that the standard deviation was only about 0.1 millimeters, what would be the best that could be expected with the processes relative to fraction defective?

The process to be centered at            (Click to select)1.952.51.4

g. Setup X-bar and Range control charts for the current process. Assume the operators will take samples of 10 washers at a time. (Round your answer to 3 decimal places.)

X-bar chart Range chart
Upper control limit
Lower control limit
business   Operations-Management   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

a.

Sample Thickness 1.7 1.9 2.2 2.1 10 10 1.8 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 1.7 2.1 1.6 1.8 2.4 2.2 2

35 36 37 38 39 40 41 42 43Standard Deviation 34 35 36 37 38 39 40 Mean 2.1 2.4 1.9 1.8 2.2 1.955 AVERAGE(B2:B41 0.206 STDEV.P

b.

The lower limit is 1.4 so Z (1.4-1955)/02087ー-26593 NORMSDIST(-268337) = 0.003915 fraction defective Therefore O.3915 % of th

c.

We have Mean 1.955 Standard deviation ơ-0.2087 Upper specification USL 2.4 Lower specification LSL is 14 The process capabili

d.

The center of the specification limits is (24-14/2= 19, which is used as mean Therefore, The process capability index, Cpk- M

0 0
Add a comment
Know the answer?
Add Answer to:
As part of the process for improving the quality of their cars, Toyota engineers have identified...
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

  • As part of the process for improving the quality of their cars, Toyota engineers have identified...

    As part of the process for improving the quality of their cars, Toyota engineers have identified a potential improvement to the process that makes a washer that is used in the accelerator assembly. The tolerances on the thickness of the washer are fairly large since the fit can be loose, but if it does happen to get too large, it can cause the accelerator to bind and create a potential problem for the driver. (Note: This part of the case...

  • Case 13-6 As part of the process for improving the quality of their cars, Toyota engineers...

    Case 13-6 As part of the process for improving the quality of their cars, Toyota engineers have identified a potential improvement to the process that makes a washer that is used in the accelerator assembly. The tolerances on the thickness of the washer are fairly large since the fit can be loose, but if it does happen to get too large, it can cause the accelerator to bind and create a potential problem for the driver. (Note: This part of...

  • Scores on the verbal Graduate Record Exam​ (GRE) have a mean of 453 and a standard...

    Scores on the verbal Graduate Record Exam​ (GRE) have a mean of 453 and a standard deviation of 122. Scores on the quantitative GRE have a mean of 651 and a standard deviation of 157. A perfect score on either exam is 800. Assuming the scores are normally​ distributed, what percentage of students score 800 on the quantitative​ exam? The percentage of students that score 800 on the quantitative exam is approximately _% (Round to the nearest percent as​ needed.)...

  • Pesticide danger: One of the factors that determines the degree of risk a pesticide poses to...

    Pesticide danger: One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which a pesticide is absorbed into skin after contact. An important question is whether the amount in the skin continues to increase with the length of the contact, or whether it increases for only a short time before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 samples of rat skin. Four...

  • The weights for a group of 18-month-old girls are normally distributed with a mean of 24.9...

    The weights for a group of 18-month-old girls are normally distributed with a mean of 24.9 pounds and a standard deviation of 2.8 pounds. Use the given table to find the percentage of 18-month-old girls who weigh between 16.6 and 23.8 pounds. Z-score -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 Percentile 0.13 0.19 0.26 0.35 0.47 0.62 0.82 1.07 1.39 1.79 IZ-score -2.0 -1.9 -1.8 -1.7 -1.6 -1.4 -1.3 -1.2 -1.1 Percentile 2.28 2.87 3.59 4.46 5.48...

  • Please use excel to solve. Any help would be greatly appreciated. A B E F G...

    Please use excel to solve. Any help would be greatly appreciated. A B E F G 1 C D Changes in Consumer Price Index, 1960-2006 (Percent) 2 Year-Year Percent Change in Commodities CPI Year-Year Percent Change in Services CPI 3 4 5 6 7 8 Commodities% 0.9 Services% 3.4 0.6 1.7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37...

  • Have you ever wondered what it means to click the “offset carbon emissions” button when you book ...

    Have you ever wondered what it means to click the “offset carbon emissions” button when you book a flight or train trip? It adds a small cost to your ticket, but how does this reduce emissions? The money is typically used to fund projects that reduce carbon emissions. One such project type is the introduction of more efficient cooking stoves into communities. Much of the world uses inefficient charcoal or wood stoves that result in excessive indoor air pollution, deforestation,...

  • 9. value: 8.00 points PA 13-6 To ensure a full line of outdoor clothing and accessories,...

    9. value: 8.00 points PA 13-6 To ensure a full line of outdoor clothing and accessories, the. Use Table 13.4 To ensure a full line of outdoor clothing and accessories, the marketing department at Teddy Bower insists that they also sell waterproof hunting boots. Unfortunately, Teddy Bower does not have expertise in manufacturing those kinds of boots. Hence, Teddy Bower contacted several Taiwanese suppliers to request quotes. Due to competition, Teddy Bower knows that it cannot sell these boots for...

  • On Blackboard under "Course Content / Homeworks and Practice Tests" there is an Excel file titled...

    On Blackboard under "Course Content / Homeworks and Practice Tests" there is an Excel file titled "HW 6 Data" with monthly stock return data to be used for this question: What is Deckers Outdoor Corporation's [DECK] beta? Round to two decimal places. [Hint: Take S&P 500 as a proxy for the market, and use the beta formula from the book. You will need to use two Excel functions: STDEV.S and CORREL] Numeric Answer S&PS00 DECK NKE SBUX -1.5% Ос-19 7.4%...

  • please show work!! Additional Algo 14-3 Standard Deviation of Demand Over Multiple Periods Each period, demand...

    please show work!! Additional Algo 14-3 Standard Deviation of Demand Over Multiple Periods Each period, demand for apples is normally distributed with a mean of 290 and standard deviation of 70 Round your answer to two decimal places. What is the standard deviation of demand over 2 periods? PA 14-5 A Cold Inc is a frozen food distributor with... Use Table 141 ACold Inc is a frozen food distributor with 10 warehouses across the country. Ivan Tory, one 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