O'Reilly logo

The Complete Idiot's Guide to Statistics, 2nd Edition by Robert Donnelly

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Hypothesis Testing for the Mean with Small Samples

Recall, from Chapter 14, that with a small sample size, we lose the use of the central limit theorem, so, therefore, we need to assume that the population is normally distributed for all cases in this section. The first case that we’ll examine is when we know σ, the population standard deviation.

When Sigma Is Known

When σ is known, the hypothesis test reverts back to the large sample size case. We can do this because we are now assuming the population is normally distributed. We can demonstrate this method with the following example.
 
Opening up my monthly cell phone bill lately has become a nerve-wracking experience. As I warily open the envelope, I wonder what surprises await me. ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required