1. Test Part VI Review
Mr. Hardin
AP STATS 2015

2. Forms of Inference One- sample T- Test Two- sample T- Test
Paired T- Test
One- Sample T- Interval
Two- Sample T- Interval
Paired T- Interval
Minimal Sample Size

3. 1- Sample T- Test Write both hypotheses.
Verify 3 conditions, same as confidence intervals, taking note of noteworthy stuff (draw histogram).
Then, say that “we can use the t model with d.f. = n-1, a mean of the reported mu & a SE of to perform a One-sample t-test for the mean.”
Draw the t curve with reported mu, statistic, and shaded region given by the alternative hypothesis.
Perform the testing using the calculator and give the t-score of the statistic and the P-value of this test value.
State your conclusion, referring back to any noteworthy stuff, if necessary.

4. 1- Sample T- Interval
Verify the 3 conditions (random, 10%, nearly normal).
Say you can use the t-distribution model (and DRAW IT) with d.f. of n-1, a mean of the sample mean and standard error of to create a One-sample t-interval for the true mean.
Give the Critical Value.
Write out the confidence interval in this form and then give the actual interval.
Use the t- interval function in the calculator (instructions on page 541) to calculate the actual interval.
Interpret in context.

5. 2- Sample T- Test ID Groups. Give hypotheses.
Verify the four conditions for each group (draw side-by-side boxplot).
State that you can use the t-Model with a mean of 0 and a standard error of to perform a 2-Sample t-test.
Draw a t-model with a mean of 0, a statistic of Ybar1 – Ybar2, and the shaded region.
Use the calculator to perform the testing and give the t-score of the statistic and its P-value.
State the conclusion exactly as the 1-Sample t-test, emphasizing the difference in the true means.

6. 2- Sample T- Interval ID Groups.
Verify the four conditions for each group (draw side-by-side boxplot).
State then that you can use a t-model with a mean of Ybar1 – Ybar2 , a SE of , and d.f. of __ to create a 2-Sample t- interval.
Give the Critical Value.
Write = ( # , # ), using the “2-SampTInt” function in the calculator to construct the actual confidence interval.
State the conclusion in context of the problem, emphasizing the estimate of the difference in the true means.

7. Paired T- Test Write both hypotheses. (H0: μd = μ0 )
Say you have paired data. Verify 3 conditions, giving a simple histogram of the differences of the pairs, noting things.
Then, say that “we can use the t model with d.f. = n-1, a mean of the reported mu & a SE of to perform a paired t-test.”
Draw the t curve with reported mu, statistic, and shaded region given by the alternative hypothesis.
Perform the testing using the calculator and give the t-score of the statistic and the P-value of this test value.
State your conclusion, referring back to any noteworthy stuff, if necessary.

8. Paired T- Interval
Say you have paired data. Verify the 3 conditions, same as hypothesis testing (give histogram).
Say you can use the t-distribution model (and DRAW IT) with d.f. of n-1, a mean of the sample mean and standard error of to create a paired t-inverval.
Give the Critical Value.
Write out the confidence interval in this form and then give the actual interval, using the t-interval function in the calculator to obtain the interval.
Interpret in context.

9. Finding Minimal Sample Size
To find the sample size needed for a particular confidence level with a particular margin of error (ME), solve this equation for n:
But, you need n to solve for this critical value, so use the appropriate z* instead of the t*.