# F-test two-sample for variances online dating schloss einstein 788 online dating

The motivation for this change are the more complex expressions.

Though the formulas are not strenuous - if you think about it the expressions are more like "puzzles" where you need to input numbers into their specific location - doing them by hand can be cumbersome.

The decision process will be the same as well: if the test statistic falls in the rejection region we will reject the null hypothesis; if the -value is less than the preset level of significance we will reject the null hypothesis.

The interpretation of an confidence intervals in support of the hypothesis decision will also be familiar: if the interval does not contain the null hypothesis value then reject the null hypothesis; if the interval contains the null hypothesis value then we will fail to reject the null hypothesis.

The latter can help us determine in the analysis of two independent population means whether to use the equal variances 2-sample -test.

You will find that much of what we discuss here will be an extension to our previous lessons on confidence intervals and hypothesis testing for one-proportion and one-mean.

Pay attention to how the difference is being defined so as to properly choose the alternative and make correct decisions based on the sample data.

There are statistical tests that involve three or more groups or datasets, and that require the variances of all the groups to be the same.

We will be using the continuous variable as the dependent variable, and the three-level categorical variable as the independent variable.

One departure we will take from our prior lesson on hypothesis testing is how we will treat the null value. In this lesson when comparing two proportions or two means, we will use a null value of 0 (i.e. Although we can test for a specific difference, for example does the diet result in an average weight loss of more than 10 pounds.

However, common applications commonly research only for a difference (i.e.

Therefore, while we will provide the formulas and examples by hand, we will use software to complete the analysis.

CAUTION: After reading the prior paragraph students often feel some relief because they will move to using computers over by-hand methods. We frequently tell students that despite the speed of the software, the user is ultimately smarter.