1. Section 9-4 Hypothesis Testing Means

3. This formula is used when the population standard deviation is known. Once you have the test statistic, the process is the same as it was in section 9.2 and 9.3.

4. This formula is used when the population standard deviation is unknown. These problems will give you the sample standard deviation. Notice the formula is set up the same way. With this formula you will use a new chart because this is a t-test instead of a z-test.

6. To determine if you reject or fail to reject the null using the z-test -The process remains the same except you are using the new formula. Finding the P-value for the z-test -The process remains the same except you are using the new formula.

7. To determine whether you reject of fail to reject using the t-test Step 1: Find the test statistic Step 2: Find the critical value - Locate the alpha value - Locate the degrees of freedom - Determine the critical value Step 3: Compare the test statistic with the critical value Make sure you follow the decision rules

9. To determine the interval of the P-value for the t-test -Step 1 – Find the test statistic using the formula for the t-test -Step 2 – Find degrees of freedom (this is the sample size minus one) -Step 3 – Find the two values that the test statistic falls between. -Step 4 – Look at the top of the chart at the one tailed or two tailed section depending on the situation, and identify the alphas that go with the two values from step 3. -Step 5 – Write the two alpha values as an interval.