Completion requirements
This section shows how to test the null hypothesis that the population mean is equal to some hypothesized value, using a very concrete example. In this example, all the main elements of hypothesis testing come in to play a role.
Testing a Single Mean
Answers
- The population standard deviation is known.
- The standard error of the mean is
. You then find the probability of a sample mean more than
from the population mean of
. This is the probability outside
and
given a distribution with a mean of
and a standard deviation of
. The probability is .0455.
Make sure you divide by
.
You divide
by the square root of
.
- You divide
by the standard error of the mean
to get
.
- You use
degrees of freedom.