AS/A2 Stats 1 Stats 2

S3 Topic 3: Estimation, confidence intervals and tests
Testing a sample mean 1
A null and alternative hypothesis for the population mean will be suggested, where m refers to the population mean, and a level of test. You will be given the population standard deviation, s, too and the mean and size of a sample from that population. To decide if the hypothesis test should have a non-significant or significant result based on that sample mean, you will have to work out the test statistic, using:
and compare it with the critical values. The examples given will involve two-tailed tests.

Summary In any hypothesis test we are testing the evidence to see if it is sufficient to reject the null hypothesis. A significant result implies: the null hypothesis is rejected the alternative hypothesis is accepted as true there is a chance that this conclusion is wrong and that the null hypothsis is in fact true. This is called a Type I error the probability of a Type I error is given by the level of the test A non-significant result implies: the null hypothesis is not rejected there is a chance that this conclusion is wrong and that the null hypothsis is in fact false. This is called a Type II error This page uses HotEqn.