Test Part VI Review Mr. Hardin AP STATS 2015

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

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.

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.

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.

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.

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.

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.

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*.