9.2 Critical-Value Approach to Hypothesis Testing
example:
For the mean value of the 275 assumptions:
There are about a distribution of sample mean:
Known population standard deviation and the sample size = 25 in the case of:
Standard Z is:
Wherein, significant level = 5%, hypothesis Ho is the known mean value and standard deviation of the population has been provided
There is a mean distribution:
By term interpretation is:
Obtaining Critical Values
At this time, a new understanding of significant level: i.e., the premise is known H0 is true, but because of problems caused sample z value falls reject region, since at this time the significant level for the probability of problems caused due to the sample z-value falls reject region
Keep in mind, however, that because of the central limit theorem, the one-mean z-test will work reasonably well when the sample size is large, regardless of the distribution of the variable
example:
Determine the critical value(s) for a one-mean z-test at the 5% significance level(α = 0.05) if the test is
General:
Distribution of z used:
Therefore, hypothesis testing are the general steps:
