Answered: The process for forming a penny…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

The process for forming a penny involves three steps: i) rolling a copper slug, ii) cutting a blank, and iii) stamping the front and back images. The United States Treasury will only accept coins between 12.0 and 13.0 mm in diameter. Step i) produces a slug with a diameter that is normally distributed with a mean of 12.0 mm and a standard deviation of 0.2 mm. Step ii) reduces the diameter by an amount that is uniformly distributed between 1% and 4%. Step iii) adds to the diameter an amount that is normally distributed with a mean of 0.7 mm and a standard deviation of 0.1 mm. You have developed a simulation to assess the performance of this process. Using the following output, what is the process capability index (C_pk) of this process?

Statistic
Forecast values
Trials
1,000
Base Case
11.76
Mean
12.40
Median
12.41
Mode
Standard Deviation
0.24
Variance
0.06
Skewness
-0.0197
Kurtosis
2.82
Coeff. of Variability
0.0195
Minimum
11.61
Maximum
13.10
Mean Std. Error
0.01

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions