The specification limits for the width of a part produced in a new machine is 3...
The specification limits for the width of a part produced in a new machine is 3 ± 0.008 centimeters. The standard deviation of the process is estimated to be 0.003 centimeters. What is the value of process capability index (Cp) for this process? What percentage of the parts would be outside the specifications for the width of the part if the process were operated and centered at 3.000 centimeters? Assume normal distribution of measurements.
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The specification limits for the width of a part produced in a
new machine is 3...
A key joint in a precision machining process has a lower specification limit of a width...
A key joint in a precision machining process has a lower specification limit of a width of 0.99 mm and an upper specification limit of 1.01 mm. The standard deviation is 0.005 mm and the mean is 1 mm. The company wants to reduce its defect probability and operate a "Six Sigma process." To what level would this company have to reduce the standard deviation in the process to meet this target? Note: A "Six Sigma process" has a process...
The thickness of a printed circuit board is required to lie between the specification limits 0.150...
The thickness of a printed circuit board is required to lie between the specification limits 0.150 ± 0.004 cm. A machine produces circuit boards with a thickness that is normally distributed with mean 0.151 cm and standard deviation 0.003 cm. a) What is the probability that the thickness X of a circuit board produced by this machine will fall within the specification limits? b) Now consider the mean thickness X- (X1 +X2 + ..+X25)/25 for a batch of 25 circuit...
q22 , 26 , 30 16. If the specification limits are 2.230 to 2.250, 2.238, and...
q22 , 26 , 30
16. If the specification limits are 2.230 to 2.250, 2.238, and s 0065, what percentage of the measurements would be out of specification? 22. If a population of measurements has a mean of2.45 inches and a standard deviation of.15 inches, a. Find the μ ± 3σ spread of measurements. b. What percentage of the measurements will lie within the values found in part (a)? c. If samples of size n 5 are taken from the...
A certain process is under statistical control and has a mean value of 130 and a...
A certain process is under statistical control and has a mean value of 130 and a standard deviation of 8. The specifications for the process are: a. USL (upper specification limit) = 150 b. LSL(lower specification limit) =100 a. Calculate the cp and cpk b. Which of these indices is a better measure of process capability and why? c. Assuminng a normal distribution what percentage of output is expected to fall ourside the specification. Why is it important to know...
In-Class Exercise - Cpk Problem Design specifications require that a key dimension on a product measure...
In-Class Exercise - Cpk Problem Design specifications require that a key dimension on a product measure 110 + 13 units. A process being considered for producing this product has with a mean of 110 units and a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability? b. Suppose the process average shifts to 98 units. Calculate the new process capability. c. What can you say about the process after the shift? Approximately what percentage...
Chicken Eggs A farmer focusing on the production of eco-friendly chicken eggs collects the follow...
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4) Tolerances for a new part require weights between 248.1 and 268.5 pounds. The part is...
4) Tolerances for a new part require weights between 248.1 and 268.5 pounds. The part is made using a process that has a mean of 257.5 pounds with a standard deviation of 2.3 pounds. The process population is normally distributed. What is the sigma capability for this process? (use four decimal places) 5) Tolerances for a new part require weights between 241.8 and 266.4 pounds. The part is made using a process that has a mean of 253.1 pounds with...
Specifications for a part for a 3-D printer state that the part should weigh between 24.5...
Specifications for a part for a 3-D printer state that the part should weigh between 24.5 and 25.5 ounces. The process that produces the parts has a mean of 25.0 ounces and a standard deviation of .25 ounce. The distribution of output is normal. Use Table-A. a.What percentage of parts will not meet the weight specs? (Round your "z" value and final answer to 2 decimal places.) b.Within what values will 99.74 percent of the sample means of this process...
Specifications for a critical part for a DVD player state that the part should weigh between...
Specifications for a critical part for a DVD player state that the part should weigh between 22 and 26 ounces. The process that produces the parts yields a mean of 24.5 ounces and a standard deviation of 0.85 ounce. The distribution of the weights of the part is normal. a) What percentage of parts will meet the weight specifications? b) If each production month 1,000,000 units of this part are produced at a cost of $50.00 per unit, what is...
QC Problem 1 Specifications for a critical part for a DVD player state that the part...
QC Problem 1 Specifications for a critical part for a DVD player state that the part should weigh between 22 and 26 ounces. The process that produces the parts yields a mean of 24.5 ounces and a standard deviation of 0.85 ounce. The distribution of the weights of the part is normal. Hint: this is an application of the normal distribution. A similar problem appeared in the reliability chapter assignment. a) What percentage of parts will meet the weight specifications?...
The thickness of a printed circuit board is required to lie between the specification limits 0.150 ± 0.004 cm. A machine produces circuit boards with a thickness that is normally distributed with mean 0.151 cm and standard deviation 0.003 cm. a) What is the probability that the thickness X of a circuit board produced by this machine will fall within the specification limits? b) Now consider the mean thickness X- (X1 +X2 + ..+X25)/25 for a batch of 25 circuit...
q22 , 26 , 30
16. If the specification limits are 2.230 to 2.250, 2.238, and s 0065, what percentage of the measurements would be out of specification? 22. If a population of measurements has a mean of2.45 inches and a standard deviation of.15 inches, a. Find the μ ± 3σ spread of measurements. b. What percentage of the measurements will lie within the values found in part (a)? c. If samples of size n 5 are taken from the...
In-Class Exercise - Cpk Problem Design specifications require that a key dimension on a product measure 110 + 13 units. A process being considered for producing this product has with a mean of 110 units and a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability? b. Suppose the process average shifts to 98 units. Calculate the new process capability. c. What can you say about the process after the shift? Approximately what percentage...
Chicken Eggs A farmer focusing on the production of eco-friendly chicken eggs collects the following data about his output In a sample of 50 eggs, the farmer finds the average egg to weigh 47 grams The standard deviation of the egg weight is 2 grams and the distribution of weights resembles a normal distribution reasonably closely The farmer can sell the eggs to a local distributor However, they have to be in the interval between 44 grams and 50 gramsI.e,...
QC Problem 1 Specifications for a critical part for a DVD player state that the part should weigh between 22 and 26 ounces. The process that produces the parts yields a mean of 24.5 ounces and a standard deviation of 0.85 ounce. The distribution of the weights of the part is normal. Hint: this is an application of the normal distribution. A similar problem appeared in the reliability chapter assignment. a) What percentage of parts will meet the weight specifications?...
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