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

Describe ethical responsibilities, Explain the difference between ethical r...

Explain the difference between ethical responsibilities and social responsibilities of a manager. Please in you own words

Define what behavioural predictions might you make, What behavioural predic...

What behavioural predictions might you make if you know that an employee had an external locus of control? If an employee had a high need for achievement? If an employee had a low

Computer aided design., Computer Aided Design is one of the techniques used...

Computer Aided Design is one of the techniques used by Regal Marine in manufacturing of boats. With the aid of exapmles, critically discuss five (5) techniques that are important t

Explain election results dismissed and a new election held, An employer cou...

An employer could violate the laboratory conditions doctrine without committing an unfair labor practice, which would cause the election results to be dismissed and a new election

Explain uses a level material usage approach has collected, A firm that ope...

A firm that operates 300 days in a year and uses a level material usage approach has collected the following data: Annual Demand = 30,000; Daily Demand = 100; Daily production= 300

Explain how do you react to conflict, How do you react to conflict? Do you ...

How do you react to conflict? Do you have a typical style as a leader when dealing with a conflict situation? Complete the Conflict Style Questionnaire. What do the results of the

Explain what is authentic leadership, What is authentic leadership? Why do ...

What is authentic leadership? Why do ethics and trust matter to leadership?

Answer, What happens if balance doesn’t exist?

What happens if balance doesn’t exist?

Elements of human resource management, you are the head of Human Resource D...

you are the head of Human Resource Department.Your organization is going through an exspansion programme and there will definitelybe a need for a Genaral Manager in your organizati

Compute minimum cost service rate, Consider mean arrival rate is 1 customer...

Consider mean arrival rate is 1 customer every 4 mins and mean service time is 5/2 mins. If waiting cost is $5 per unit per min and cost of serviceing one unit is $4. Find minimum

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