d. What control limits would give an alpha risk of .03 for this process? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and other answers to 4 decimal places.) Z= z = e. What alpha risk would control limits of .0470 and .0122 provide? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and "alpha risk" value to 4 decimal places.) yes 3.00 alpha risk = no 0.0296 to f. Using control limits of .0470 and .0122, is the process in control? 0.0116 Mean Standard deviation g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? (Round your intermediate calculations and final answers to 2 decimal places.)
d. What control limits would give an alpha risk of .03 for this process? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and other answers to 4 decimal places.) Z= z = e. What alpha risk would control limits of .0470 and .0122 provide? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and "alpha risk" value to 4 decimal places.) yes 3.00 alpha risk = no 0.0296 to f. Using control limits of .0470 and .0122, is the process in control? 0.0116 Mean Standard deviation g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? (Round your intermediate calculations and final answers to 2 decimal places.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![**Transcription for Educational Website**
**d.** What control limits would give an alpha risk of 0.03 for this process? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and other answers to 4 decimal places.)
- **z =** ________ , 0.0296 to 0.0116
**e.** What alpha risk would control limits of 0.0470 and 0.0122 provide? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and "alpha risk" value to 4 decimal places.)
- **z =** 3.00 , **alpha risk =** ________
**f.** Using control limits of 0.0470 and 0.0122, is the process in control?
- [ ] yes
- [ ] no
**g.** Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? (Round your intermediate calculations and final answers to 2 decimal places.)
- **Mean** ________
- **Standard deviation** ________](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd057c218-4bf0-4c43-8000-b0a150155278%2F74993abf-2414-48e6-b239-4592696bc87e%2Foqx1zyb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**d.** What control limits would give an alpha risk of 0.03 for this process? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and other answers to 4 decimal places.)
- **z =** ________ , 0.0296 to 0.0116
**e.** What alpha risk would control limits of 0.0470 and 0.0122 provide? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and "alpha risk" value to 4 decimal places.)
- **z =** 3.00 , **alpha risk =** ________
**f.** Using control limits of 0.0470 and 0.0122, is the process in control?
- [ ] yes
- [ ] no
**g.** Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? (Round your intermediate calculations and final answers to 2 decimal places.)
- **Mean** ________
- **Standard deviation** ________
 to access the Excel Data File for detailed information.
**Tasks:**
**a. Calculating Fraction Defective:**
Determine the fraction of defective items in each sample. Ensure to round your answers to four decimal places.
- **Results:**
- Sample 1: 0.0206
- Sample 2: 0.0300
- Sample 3: 0.0250
- Sample 4: 0.0410
**b. Estimating True Fraction Defective:**
If the true fraction defective is not known, calculate its estimate. Round your answer to one decimal place.
- **Estimate:** 3.0%
**c. Estimating Mean and Standard Deviation:**
Estimate the mean and standard deviation of the sampling distribution for the fractions of defects. Round both intermediate calculations and final answers to four decimal places.
- **Mean:** 0.0296
- **Standard Deviation:** 0.0116
This exercise helps in understanding how statistical analysis can be used to determine defect rates and the average error rate within samples.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd057c218-4bf0-4c43-8000-b0a150155278%2F74993abf-2414-48e6-b239-4592696bc87e%2F994lurs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Resource: Problem Analysis for Sampling and Defection Calculation**
**Problem 10-5 (Algo)**
**Overview:**
An auditor analyzed 194 credit card statements to evaluate errors. The task involves determining the fraction of defective samples and estimating the true fraction of defective statements.
**Data Collected:**
- **Samples:** 4 samples were analyzed.
- **Errors in each Sample:**
- Sample 1: 4 errors
- Sample 2: 6 errors
- Sample 3: 5 errors
- Sample 4: 8 errors
Click [here](#) to access the Excel Data File for detailed information.
**Tasks:**
**a. Calculating Fraction Defective:**
Determine the fraction of defective items in each sample. Ensure to round your answers to four decimal places.
- **Results:**
- Sample 1: 0.0206
- Sample 2: 0.0300
- Sample 3: 0.0250
- Sample 4: 0.0410
**b. Estimating True Fraction Defective:**
If the true fraction defective is not known, calculate its estimate. Round your answer to one decimal place.
- **Estimate:** 3.0%
**c. Estimating Mean and Standard Deviation:**
Estimate the mean and standard deviation of the sampling distribution for the fractions of defects. Round both intermediate calculations and final answers to four decimal places.
- **Mean:** 0.0296
- **Standard Deviation:** 0.0116
This exercise helps in understanding how statistical analysis can be used to determine defect rates and the average error rate within samples.
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