The consulting firm of Winston & Associates has been retained by an electronic component assembly company in Phoenix to design and program a computer simulation model of its operations. Winston & Associates plan to construct the model using ProModel software (see Promodel.com). This software allows the developer to program into the model probability distributions for things like machine downtime, defect rates, daily demand, and so forth. The closer the distributions specified in the computer model match those that actually occur in the assembly plant, the better the simulation model will perform. For one machine center, Winston consultants have assumed that when the center goes down for repairs, the time that it will be down will be normally distributed with an average of 30 minutes and a standard deviation equal to 10 minutes. Before finalizing the model, the consultants will collect a random sample of downtimes and test whether their downtime assumptions are valid. The following sample data reflect 10 randomly selected downtimes at this machine center from records over the past four weeks: 25 11 34 49 48 56 2 26 46 14 Using α= 0.05, conduct the appropriate test for the mean downtime at this machine center. Using α= 0.05, conduct the appropriate test for the standard deviation in downtime. Based on the hypothesis tests in parts a and b, what conclusions should the consulting company reach? Discuss.

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

Question

The consulting firm of Winston & Associates has been retained by an electronic component assembly company in Phoenix to design and program a computer simulation model of its operations. Winston & Associates plan to construct the model using ProModel software (see Promodel.com). This software allows the developer to program into the model probability distributions for things like machine downtime, defect rates, daily demand, and so forth. The closer the distributions specified in the computer model match those that actually occur in the assembly plant, the better the simulation model will perform. For one machine center, Winston consultants have assumed that when the center goes down for repairs, the time that it will be down will be normally distributed with an average of 30 minutes and a standard deviation equal to 10 minutes. Before finalizing the model, the consultants will collect a random sample of downtimes and test whether their downtime assumptions are valid. The following sample data reflect 10 randomly selected downtimes at this machine center from records over the past four weeks:

25 11 34 49 48 56 2 26 46 14

Using α= 0.05, conduct the appropriate test for the mean downtime at this machine center.
Using α= 0.05, conduct the appropriate test for the standard deviation in downtime.
Based on the hypothesis tests in parts a and b, what conclusions should the consulting company reach? Discuss.

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

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Simulation$

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