Central tendency of sample means, Operation Management

Assignment Help:

Central Tendency of Sample Means

As was shown earlier (Advantages of SPC: feedback, the use of individual output measurements as the basis for process adjustment is inappropriate. How, then, should the need for adjustment (and the amount of adjustment) be determined?

We can take advantage of the behaviour of the mean values of samples, as described in the central limit theorem:

If random samples of size n are taken from any population having a mean µ and a standard deviation σ, the probability distribution of the sample means approaches a normal distribution of mean µ and standard error s = σ/√n as n becomes very large. To appreciate the significance of this, consider the pharmaceutical process example. If a large number of samples, each of nine tablets (i.e. n = 9), are weighed and the means of the samples calculated, their distribution will approximate a normal distribution of mean 505.48 mg (µ) and standard error 1.82 mg (s= σ//√n = 5.45/3) This is illustrated in this figure.

733_Central Tendency of Sample Means.png

Because the sample means cluster more closely around the population mean than the individual measurements, they provide a sensitive measure of any tendency for the process mean to drift out of control.


Related Discussions:- Central tendency of sample means

Transportation cost, a. Assign any value arbitrarily to a row or column var...

a. Assign any value arbitrarily to a row or column variable u or v j . generally a value 0 zero (zero) is assigned to the first row i, e, u = 0. b.Consider every occupied cell

What separates characteristics from management techniques, Provide two exam...

Provide two examples of current leaders and describe how they demonstrate their leadership characteristics. What separates these characteristics from management techniques? How eff

Explain operations management definiton of logistics, Netflix would be an e...

Netflix would be an example of which of the following approaches to managing customer induced variation? Cost penalties Uncompromised reduction Classic reduction Classic accomm

TRANS EUROPEAN PLASTICS, APPLYIING EBQ MODEL, WHAT BATCH SIZE WOULD YOU REC...

APPLYIING EBQ MODEL, WHAT BATCH SIZE WOULD YOU RECOMEND FOR THIS PRODUCT

Explain what recommendations would you make and why, 1. Draw a process flow...

1. Draw a process flow diagram of the process described in the case. Be sure to identify the key resources involved and the task times at each step. 2. What is utilization at ea

Explain smells of alcohol, You have a new employee who is in his/her probat...

You have a new employee who is in his/her probationary period, the first 90 days of employment. The employee has missed several days of work and has been late at least two days thi

Control chart - sample mean chart & sample range chart, Control Chart - Sam...

Control Chart - Sample Mean Chart & Sample Range Chart As sample values are progressively plotted on the charts, they are examined for patterns which may be tested against a s

Find the average total setup cost and shortage cost, A manufacturer uses a ...

A manufacturer uses a purchase part who's demand over any time period of length t (in years) can assume to be normally distributed with mean 200t and variance 400t. The part cost $

Define in haifa israel its illegal to take what to the beach, In Haifa Isra...

In Haifa Israel its illegal to take what to the beach

Explain open communication, Some organizational culture characteristics mak...

Some organizational culture characteristics make project success more likely. These characteristics include all of the following EXCEPT: A. Support for cross-functional teams

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd