Backwoods Products, Inc., produces an insect repellant spray that has become popular due to its ability to repel ticks that are known carriers of Lyme disease. The effectiveness and safety of the product depend critically on achieving the proper concentration of its active ingredient, Beet. If too little Beet is mixed into a 4-ounce container, then the product will fail to repel most ticks. On the other hand, if the concentration of Beet is too high, the product poses a risk of certain skin diseases. The amount of Beet targeted for a 4-ounce container of the repellant spray is 0.25 ounces with an upper limit of 0.28 ounces and a lower limit of 0.22 ounces. One container is sampled every 15 minutes to determine if the mixing process is under control and introducing an appropriate concentration of Beet into the product. The table below contains the first 10 measurements for today's production.
Required:
Prepare a Shewart control chart for the quantity of Beet placed into the 4-ounce spray containers. Given the results from your control chart, does it appear that the production line should be stopped and adjusted? Why or why not?

Question

Backwoods Products, Inc., produces an insect repellant spray that has become popular due to its ability to repel ticks that are known carriers of Lyme disease. The effectiveness and safety of the product depend critically on achieving the proper concentration of its active ingredient, Beet. If too little Beet is mixed into a 4-ounce container, then the product will fail to repel most ticks. On the other hand, if the concentration of Beet is too high, the product poses a risk of certain skin diseases. The amount of Beet targeted for a 4-ounce container of the repellant spray is 0.25 ounces with an upper limit of 0.28 ounces and a lower limit of 0.22 ounces. One container is sampled every 15 minutes to determine if the mixing process is under control and introducing an appropriate concentration of Beet into the product. The table below contains the first 10 measurements for today's production.
  Required:
Prepare a Shewart control chart for the quantity of Beet placed into the 4-ounce spray containers. Given the results from your control chart, does it appear that the production line should be stopped and adjusted? Why or why not?

Quizplus · Accepted Answer

The Answer of Backwoods Products, Inc., produces an insect repellant spray that has become popular due to its ability to repel ticks that are known carriers of Lyme disease. The effectiveness and safety of the product depend critically on achieving the proper concentration of its active ingredient, Beet. If too little Beet is mixed into a 4-ounce container, then the product will fail to repel most ticks. On the other hand, if the concentration of Beet is too high, the product poses a risk of certain skin diseases. The amount of Beet targeted for a 4-ounce container of the repellant spray is 0.25 ounces with an upper limit of 0.28 ounces and a lower limit of 0.22 ounces. One container is sampled every 15 minutes to determine if the mixing process is under control and introducing an appropriate concentration of Beet into the product. The table below contains the first 10 measurements for today's production.
  Required:
Prepare a Shewart control chart for the quantity of Beet placed into the 4-ounce spray containers. Given the results from your control chart, does it appear that the production line should be stopped and adjusted? Why or why not?