1. AP Statistics Friday, 01 April 2016 OBJECTIVE TSW review for the test covering two- sample inference. TEST: Two-Sample Inference is on Monday, 04 April 2016. ASSIGNMENT DUE MONDAY –WS Mixed Hypothesis Review #1

2. 1)(32.494, 40.799) We are 95% confident that the true difference in mean sugar content between children and adult cereals is between 32.494% and 40.799%. 2)t = 1.406 p-value = 0.0801 df = 590.049 Fail to reject 3)( – 0.2898, 1.7378) Since 0 is in the interval, there is not evidence of a difference. WS: Two-Sample Inference with Means #1

3. 4)t = 2.478p-value = 0.01509df = 90.486 Fail to reject H 0. 5)Type I error WS: Two-Sample Inference with Means #1

4. WS: Two-Sample Inference with Means #2 ANSWERS 1)Normal distribution, μ pu – pe = 16 – 14 = 2 lbs  pu – pe =  0.7 2 /15 + 0.5 2 /15 = 0.2221 lbs 2)P( (x-bar pu – pe ) < 1.8) = 0.1839 3)P(1.5 < (x-bar pu – pe ) < 2.5) = 0.9756 4)40 th %’ile = 1.9437 lbs 5)95 th %i’le = 2.3653 lbs

5. Test Topics: Two-Sample Inference Testing Know the pooling formula (not on charts). –Pool when the population proportions are assumed to be equal in H 0. Compute confidence intervals for differences in means. Compute confidence intervals for differences in proportions. Know the conditions for using z-tests and t-tests. Know your assumptions!

6. Test Topics: Two-Sample Inference Testing Identify Type I and Type II errors. State conclusions: –Confidence intervals: “We are % confident that …” –Hypothesis tests: “p , so we reject/fail to reject …” Know the formula for calculating a z-test statistic for hypothesis testing.

7. Test Topics: Two-Sample Inference Testing Know the relationship between power and . Compute sample sizes for given confidence intervals. Compute standard error. Know the characteristics of a matched-pairs test. Perform a full two-sample proportion hypothesis test. Wear your FALCON STATISTICS shirt.

8. WS AP Mixed Review: Two-Sample Inference 1.E 2.B 3.B 4.D 5.C 6.E 7.E 8.D 9.E 10.A 11.D 12.C 13.A 14.C 15.A 16.B