Question

Suppose that Motorola uses the normal distribution to determine the probability of defects and the number...

Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.

(a) The process standard deviation is 0.21, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects. If required, round your answer to four decimal places.
(b) Through process design improvements, the process standard deviation can be reduced to 0.07. Assume that the process control remains the same, with weights less than 9.85 or greater than 10.15 ounces being classified as defects. If required, round your answer to four decimal places.
(c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?
Reducing the process standard deviation causes a - Select your answer -substantial increasemoderate increasenegligible changemoderate decreasesubstantial decreaseItem 3 in the number of defects.

Homework Answers

Answer #1

a)

probability of defect:

probability = 1-P(9.85<X<10.15) = 1-P(-0.71<Z<0.71)= 1-(0.7611-0.2389)= 0.4778

(try 0.4750 if this comes wrong)

suspected number of defects =np=1000*0.4778 =478

(try 475 if this comes wrong)

b)

probability of defect:

probability = 1-P(9.85<X<10.15) = 1-P(-2.14<Z<2.14)= 1-(0.9838-0.0162)= 0.0324

(try 0.0322 if this comes wrong)

suspected number of defects =np= 32

c)

Reducing the process standard deviation causes a substantial decrease in the number of defects.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number...
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations. (a) The process standard deviation is 0.30, and the process control is set at plus or minus one standard deviation. Units with...
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number...
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations. (a) a) The process standard deviation is 0.18, and the process control is set at plus or minus one standard deviation. Units...
Motorola used the normal distribution to determine the probability of defects and the number of defects...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. (a) The process standard deviation is 0.18, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.82 or greater than 10.18 ounces will be classified as defects. (Round your answer to the nearest integer.) Calculate the probability...
Motorola used the normal distribution to determine the probability of defects and the number of defects...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. a) The process standard deviation is 0.1, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.9 or greater than 10.1 ounceswill be classified as defects. (Round your answer to the nearest integer.) Calculate the probability of...
Motorola used the normal distribution to determine the probability of defects and the number of defects...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 6 ounces. a. The process standard deviation is 0.20 ounces, and the process control is set at plus or minus 0.75 standard deviations. Units with weights less than 5.85 or greater than 6.15 ounces will be classified as defects. What is the probability of a defect (to 4...
Motorola used the normal distribution to determine the probability of defects and the number of defects...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 14 ounces. Use Table 1 in Appendix B. The process standard deviation is 0.15, and the process control is set at plus or minus 1 standard deviation. Units with weights less than 13.85 or greater than 14.15 ounces will be classified as defects. What is the probability of...
Motorola used the normal distribution to determine the probability of defects and the number of defects...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. The process standard deviation is 0.1, and the process control is set at plus or minus 2 standard deviations. Units with weights less than 9.8 or greater than 10.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In...
Motorola used the normal distribution to determine the probability of defects and the number of defects...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 7 ounces. a. The process standard deviation is 0.15, and the process control is set at plus or minus 1.6 standard deviation s. Units with weights less than 6.76 or greater than 7.24 ounces will be classified as defects. What is the probability of a defect (to 4...
otorola used the normal distribution to determine the probability of defects and the number of defects...
otorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of ounces. a. The process standard deviation is , and the process control is set at plus or minus standard deviation . Units with weights less than or greater than ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production...
Note: You need to show your work. If you choose to use Excel for your calculations,...
Note: You need to show your work. If you choose to use Excel for your calculations, be sure to upload your well-documented Excel and to make note in this file of what Excel functions you used and when you used them, and how you arrived at your answers. If you choose to do the work by hand, Microsoft Word has an equation editor. Go to “Insert” and “Equation” on newer versions of Word. On older versions, go to “Insert” and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT