The Healthy Chocolate Company makes a variety of chocolate candles, including a 12-ounce chocolate bar (340 grams) and a box of six 1-ounce chocolate bars (170 grams). a.Specifications for the 12-ounce bar are 322 grams to 358 grams. What is the largest standard deviation (In grams) that the machine that fills the bar molds can have and still be considered capable if the average fill is 340 grams? (Round your Intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Standard deviation b.The machine that filles the bar molds for the 6-ounce bars has a standard deviation of .84 grams. The filling machine is set to deliver an average of 1.04 ounces per bar. Specifications for the six-bar box are 150 to 190 grams per box. Is the process capable? Hint: The variance for the box is equal to six times the bar variance. Convert all calculations into grams. Yes O No grams c.What is the lowest setting in ounces for the filling machine that will provide capability in terms of the six-bar box? Hint: Use grams to solve, then convert to ounces. (Round your Intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Lowest setting ounces
The Healthy Chocolate Company makes a variety of chocolate candles, including a 12-ounce chocolate bar (340 grams) and a box of six 1-ounce chocolate bars (170 grams). a.Specifications for the 12-ounce bar are 322 grams to 358 grams. What is the largest standard deviation (In grams) that the machine that fills the bar molds can have and still be considered capable if the average fill is 340 grams? (Round your Intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Standard deviation b.The machine that filles the bar molds for the 6-ounce bars has a standard deviation of .84 grams. The filling machine is set to deliver an average of 1.04 ounces per bar. Specifications for the six-bar box are 150 to 190 grams per box. Is the process capable? Hint: The variance for the box is equal to six times the bar variance. Convert all calculations into grams. Yes O No grams c.What is the lowest setting in ounces for the filling machine that will provide capability in terms of the six-bar box? Hint: Use grams to solve, then convert to ounces. (Round your Intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Lowest setting ounces
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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Transcribed Image Text:The Healthy Chocolate Company produces a variety of chocolate products, including a 12-ounce chocolate bar weighing 340 grams and a box containing six 1-ounce chocolate bars weighing 170 grams.
### a.
**Specifications for the 12-ounce bar:** The weight ranges from 322 grams to 358 grams. You need to determine the largest standard deviation (in grams) that the machine filling the bar molds can have while still being considered capable if the average fill is 340 grams.
- **Note:** Round your intermediate calculations to 2 decimal places and the final answer to 3 decimal places.
- **Input:** Standard deviation (grams)
### b.
**For the six 1-ounce bars:** The standard deviation for the machine filling the bar molds is 0.84 grams. The machine is set to deliver an average of 1.04 ounces per bar. Specifications for the six-bar box are 150 to 190 grams per box. Determine if the process is capable.
- **Hint:** Variance for the box should be six times the bar variance. Convert all calculations to grams.
- **Input Options:**
- Yes
- No
### c.
**Lowest setting query:** What is the lowest setting in ounces for the filling machine that ensures capability for the six-bar box?
- **Hint:** Use grams to solve, then convert to ounces. Round your intermediate calculations to 2 decimal places and the final answer to 3 decimal places.
- **Input:** Lowest setting (ounces)
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