Question: An automatic cookie machine at AutoCM, Inc. must deposit a specified amount of 25 0.3 grams (g) of dough for each cookie on a conveyor

An automatic cookie machine at AutoCM, Inc. must deposit a specified amount of 25 ±0.3 grams (g) of dough for each cookie on a conveyor belt. It costs $0.03 to scrap a defective cookie. A sample of 50 cookies was drawn from the production process, which has been determined to be approximately normally distributed, and the results, in grams, can be found in worksheet tab Prob08-08 in the Excel file Ch08Data.xlsx.

a. What is the value of k in the Taguchi loss function?

b. Determine how much the process varies from the target specification, based on the mean difference and standard deviation of the sample results. What is the expected loss per unit?

AutoCM, Inc.
Descriptive Statistics









Original DataSorted Data












Descriptive Statistics



BinFrequency
24.934924.8672







24.8500
25.066624.8824

Mean25.0056



24.8751
25.032324.9180

Standard Error0.0080



24.9001
25.066624.9196

Median25.0123



24.9253
24.984224.9210

Mode#N/A



24.9502
24.921024.9285

Standard Deviation0.0566



24.9759
25.036624.9349

Sample Variance0.0032



25.0007
25.017024.9513

Kurtosis-0.1981



25.0259
25.050124.9621

Skewness-0.2635



25.0506
24.968324.9639

Range0.2508



25.0757
25.039024.9683

Minimum24.8672



25.1003
25.011424.9685

Maximum25.1180



25.1252
25.036924.9723

Sum1250.2795



More0
25.089424.9732

Count50.0000





25.021924.9735









24.996224.9745









24.882424.9758









25.090624.9788







 Alternate
25.001124.9842







BinFrequency
25.017124.9878







24.8500
25.013224.9880

Original data




24.9002
25.065424.9962







24.9505
24.973224.9978

24.934925.066625.032325.066624.9842
25.00016
24.975825.0011

24.921025.036625.017025.050124.9683
25.05015
24.918025.0114

25.039025.011425.036925.089425.0219
25.10010
24.972325.0132

24.996224.882425.090625.001125.0171
25.152
24.867225.0170

25.013225.065424.973224.975824.9180


24.968525.0171

24.972324.867224.968524.978825.0416


24.978825.0197

25.055925.064225.020525.019725.0420


25.041625.0205

24.987824.963925.105825.118024.9621


25.055925.0219

24.988024.974524.919625.086424.9978


25.064225.0241

25.024124.973524.951324.928525.0583


25.020525.0323









25.019725.0366









25.042025.0369









24.987825.0390









24.963925.0416









25.105825.0420









25.118025.0501









24.962125.0559









24.988025.0583









24.974525.0642









24.919625.0654









25.086425.0666









24.997825.0666









25.024125.0864









24.973525.0894









24.951325.0906









24.928525.1058









25.058325.1180









Bin 24.850 24.875 24.900 24.925 24.950 24.975 25.000 25.025 25.050 25.075 25.10025.125 More Frequency OHNE AL . Frequency Histogram

Bin 24.850 24.875 24.900 24.925 24.950 24.975 25.000 25.025 25.050 25.075 25.100 25.125 More Frequency OHNE AL . Frequency Histogram

Step by Step Solution

★★★★★

3.39 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To answer your questions lets first break down what we have and what we need to calculate a The valu... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Marketing Research Questions!

Q:

What is the total amount of Jason's home office deduction? $ 1 6 , 7 3 8 $ 2 , 4 6 2 $ 2 , 4 1 0 $ 7 2 0

Q:

A computer chip is designed so that the distance between two adjacent pins has a specification of 2.000 +/- .002 millimeters (mm). The loss due to a defective chip is $3.00. A sample of 25 chips was...

Q:

The auditing department of Alco Products was contacted by the manager of accounting for the metalstamping division who informed it that one of their plants had been experiencing inventory shortages....

Q:

What operational changes would you recommend to Wally to improve performance? Wally Meyer deftly balanced his office keys and a large printout of forecasting data as he wheeled his mountain bike...

Q:

12. An automatic cookie machine at ACM, Inc. must deposit a specified amount of 25 ` 0.3 grams (g) of dough for each cookie on a conveyor belt. It costs $0.03 to scrap a defective cookie. A sample of...

Q:

A hospital developed a design process consisting of the following steps: Plan, Design, Measure, Assess, and Improve. Below is a list of specific activities that comprise these five steps in random...

Q:

12. An automatic cookie machine at ACM, Inc. must deposit a specified amount of 25 ` 0.3 grams (g) of dough for each cookie on a conveyor belt. It costs $0.03 to scrap a defective cookie. A sample of...

Q:

An automatic cookie machine at ACM, Inc., must deposit a specified amount of 25 0.3 grams (g) of dough for each cookie on a conveyor belt. It costs $0.03 to scrap a defective cookie. A sample of 50...

Q:

An automatic cookie machine at ACM, Inc., must deposit a specified amount of 25 0.3 grams (g) of dough for each cookie on a conveyor belt. It costs $0.03 to scrap a defective cookie. A sample of 50...

Q:

12. An automatic cookie machine at ACM, Inc. must deposit a specified amount of 25 6 0.3 grams (g) of dough for each cookie on a conveyor belt. It costs $0.03 to scrap a defective cookie. A sample of...

Q:

An automatic cookie machine at ACM, Inc. must deposit a specified amount of 2 5 ` 0 . 3 grams ( g ) of dough for each cookie on a conveyor belt. It costs $ 0 . 0 3 to scrap a defective cookie. A...

Q:

Truly, Honest and Integrity have capital balance of P1M, P3M and P6M, and profit or loss ratio of 5:1:4, respectively. If the capital balance of Honest after Truly's retirement becomes P3,120,000 and...

Q:

In Prob. 8 start from x0 = [1.5 1] T, show that the next even-numbered approximations are x2 = kx0, x4 = k2x0, etc., where k = 0.04.