If the p value is ˂ alpha (α), reject the Null



To do this same problem using the attained significance approachwe would ask "What is the probability that if H is truewe would find a random sample of 17 items with a sample mean that is

Here is a third example, one given with even less discussion.

If the p value is ˃ alpha (α), fail to reject the Null

Note that the p-value is not the probability that the null hypothesis is true.

Null Hypothesis - Six Sigma Terminology

If you are only willing to make a Type I error1% of the time, then you want to find a value for the sample meanthat is so extreme that only 1% of the Student's t distributionof 36-item sample means will be that or more extremely different frommy hypothesis value of 134.

as the line where they reject the null in hypothesis testing.

There is a claim, a hypothesis, that the population mean isμ = 14.2, but we believe, for whatever reason, thatthe true population mean is higher than that.

We have a population and a null hypothesis H: μ = 239.7with the alternative hypothesisH: μ .

Errors in Hypothesis Testing | Six Sigma Study Guide

In the null hypothesis will be rejected if the is below a threshold probability level, known as the alpha value. It is possible that the test will give misleading results and the wrong conclusion will be drawn. There are two types of error:

ASQ Six Sigma Green Belt Errors in Hypothesis Testing ..

The probability of rejecting the null hypothesis when it is false. The Power varies with the amount that the process varies from the target and so is specified for a particular value of the error.

Hypothesis Testing Terminology | Six Sigma Study Guide

Remember you can conduct a hypothesis test by selecting a low % for alpha and be correct within the % that you have selected. For example, let’s say that I want to accurate to within 1% when I do a hypothesis test. This means that I will have only a 1% chance of making an error. I would have only a 1% chance of making a type I error (i.e. to reject the null when it is true). This approach is very accurate.

Figure 2 contains all of the results that we generated abovefor example 1a.

Hypothesis Testing in Six Sigma - SlideShare



To do this same problem using the attained significance approachwe would ask "What is the probability that if H is truewe would find a random sample of 68 items with a sample mean that is

The three dynamic (the samples change each time the page is reloaded or refreshed) examples above walk through problems of testingthe null hypothesis for the population, where we do not know the population standard deviation,by drawing a sample and using either the critical valueor the attained significance approach.

The probability of getting the observed results in a hypothesis test if the null hypothesis were true.

Review of Alpha and Beta Risks in Hypothesis ..

My purpose in writing about hypothesis testing is to get you to understand the power of the test. Hypothesis testing is a very valuable Six Sigma tool to be used to determine if X has an impact on Y. The Six Sigma class teaches you to use hypothesis testing and many other tools to determine what the critical factors are in determining the Y. In other words, what needs to be changed in this process to have a positive impact on the output. Descriptive Statistics, ANOVA and Regression are extremely powerful tools to improve your process. Use of a software program like “Minitab” is essential to make rapid progress.

Hypothesis Testing is not a guess or an opinion. It is basically a calculation and regardless of the method used; you will get the same answer.

Hypothesis (alternate/alternative) - Six Sigma …

The complementary proposition to the alternative hypothesis. The alternative hypothesis is only accepted if the results show that the null hypothesis is not feasible, see Hypothesis Testing.