Question

In: Mechanical Engineering

1.         (a) Using a normal distribution, define what is meant by both “ machine” and “process”...

1.        

(a) Using a normal distribution, define what is meant by both “ machine” and “process” capability and explain the difference by providing three measures that are used in each case.                                                                     [8 marks]

(b) The following data was obtained from subgroups of parts manufactured to 10.5 mm +/- 0.5 mm

Size Range (mm)                     Quantity

10.0-10.2                                 1

10.2 -10.4                                4

10.4 -10.6                                9

10.6-10.8                                 6

Determine :

The mean and standard deviation [use N = 20 ]                          [6 marks]

The values of the capability indices Cm and Cp                          [4 marks]

If the operation can be judged as “capable” if considered to be a machine or alternatively a process? [2 marks]

Solutions

Expert Solution


Related Solutions

•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is...
•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is the area under a normal distribution? •What is the area under any distribution?
Define what is meant by both the central and peripheral routes to persuasion. Describe when people...
Define what is meant by both the central and peripheral routes to persuasion. Describe when people are more likely to use the central route to persuasion, and when they are more likely to use the peripheral route. When people are using the central route, what will make an appeal more persuasive? When they are using the peripheral route, what will make an appeal more persuasive?
Define the concept of statistical process control Explain briefly the rationale for SPC What is meant...
Define the concept of statistical process control Explain briefly the rationale for SPC What is meant by variation in processes? Describe how the seven tools are used when implementing SPC.
Using the standard normal (z) distribution table, what is the area under the standard normal curve...
Using the standard normal (z) distribution table, what is the area under the standard normal curve between 1.67 and 2.72? a. 0.0442 b. 0.9525 c. 0.2563 d. 0.6140
Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding...
Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding to Z < 1.1?
What is a normal distribution? Draw and label a graph of a normal distribution and explain...
What is a normal distribution? Draw and label a graph of a normal distribution and explain the relevant terms. How can the mean and standard deviation be used to predict outcomes according to this distribution?
What are the main differences between normal distribution and standard normal distribution? What are the main...
What are the main differences between normal distribution and standard normal distribution? What are the main characteristics of standard normal distribution and why do we need standard normal distribution?
What is the difference between program and machine? Why are both necessary to define com- bitches?...
What is the difference between program and machine? Why are both necessary to define com- bitches? Define a monolithic program in the form of instructions labeled with at least 5 instructions. Convert this program to flowchart. these questions are related to theoretical issues of computability (computer theory), concept of programs, machines, monolithic machines.
What is a standard normal distribution?
What is a standard normal distribution? Give details explaination.
Lab - Chapter 5 - Normal Distribution Problems 1. The machine that packages 5 lb. bags...
Lab - Chapter 5 - Normal Distribution Problems 1. The machine that packages 5 lb. bags of sugar is designed to put an average (mean) of 5.1 lbs. with a standard deviation of 0.4 lbs. into the package. a. What is the probability that a bag of sugar weighs less than 5 lbs.? b. What is the probability that a bag of sugar weighs more than 5.1 lbs.? c. What is the probability that a bag weighs between 4.5 and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT