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

Calculate the total cost of ordering and carrying clay pots, 1. Garden Vari...

1. Garden Variety Flower Shop uses 1000 clay pots a month. The pots are purchased at $3 each. Annual carrying costs per pot are estimated to be 25% of cost, and ordering costs are

Explain performance appraisals are they necessary, 1.What purpose do they s...

1.What purpose do they serve under a performance management system? 2.Performance appraisals are they necessary or not? 3.What to do if an performance appraisal is unsatisfac

Describe experienced unprecedented growth, Your public school district has ...

Your public school district has experienced unprecedented growth and as a result has built the new 500 student North Park Elementary School. The district has three older and small

Operations management case, Operations Management Case: choose one com...

Operations Management Case: choose one company. You must study the chosen company from the point of view of the ten critical operations management decisions. The group will wr

Describe how trade lowers the costs of making computer parts, closing case:...

closing case: Logitech Best known as one of the world's largest producers of computer mice, Logitech is in many ways the epitome of the modern global corporation. Founded in 198

Lean management , how can lean principles be applied further to a business?...

how can lean principles be applied further to a business?

Depict a graph illustrating the crossover, A company is considering a gear ...

A company is considering a gear assembly that it now purchases from company B. Company B charge $4 per unit with a minimum order of 3000units. Company A estimates that it will cost

Explain most important consideration of pre-employment, From the case study...

From the case study, determine what ideals, obligations, and effects must be considered in using psychological tests as pre-employment screens. Decide which the most important cons

Briefly explain the matrix form of organization design, Briefly describe th...

Briefly describe the matrix form of organization design. List its advantages and disadvantages. This structural form is most likely to be used under what conditions?

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