# Mr. Meinzen - Advanced Placement Statistics - Inference Worksheet

### Complete Inference Plan

Step 1 : Setup : Population & Parameters, Sample & Statistics, Choose Inference & Criteria : PP, SS, CC

 Describe, Symbols, and Numbers (given) Options Population: Parameter: description μ= or p= Sample: Statistics: description x-bar= or p-hat= Choose Inference Type Choose Criteria : (i.e. Tolerance for Error) Confidence Interval or Significance Test (w/ H0 and Ha) Confidence Level= or alpha-level=

Step 2 : Check Conditions of Inference : Random, Independence, Normal Distribution : RIN

 1. Random selection of sample from population 2. Independent : multiple samples do not consist of same members (samples are independent of each other) 3. Normal Distribution: Does Central Limit Theorem apply?

Step 3 : Calculations : Graph, Axis, Area : GAA

 Normalized Criteria Theory / Algebra / Formula Data (Test Statistic) Normalized Critical Value from Critical Criteria: Axis:  z* or t* Area: alpha-level Axis : z-score or t-score Area : P-value

Step 4 : Conclusion : Compare, Contrast, Context : CCC

 Compare : Area : P-value < (or >) alpha-level Contrast : reject (or not reject) H0 Context : Describe, in plain English, the conclusion in terms of the original problem.

### Reduced Inference Plan : focus on Significance Test

Step 1 : PP, SS, CC

 Describe, Symbols, and Numbers (given) Describe, Symbols and Numbers Population: Parameters: Inference Name : Z Test for Means (or Z Test for Proportions) Sample: Statistics: H0: Choose Inference Type Choose Criteria : (i.e. Tolerance for Error) Ha:

Step 2 : RIN

 1. Random: 2. Independent: 3. Normal Distribution:

Step 3 : Calculations : GAA

 Normalized Criteria Theory / Algebra / Formula Data (Test Statistic) Axis:  z* or t* Area: alpha-level Axis : z-score or t-score Area : P-value

Step 4 : Conclusion : CCC

 Compare : Area : P-value < (or >) alpha-level Contrast : reject (or not reject) H0 Context : Describe--in plain English--the conclusion in terms of the original problem.

Step 1 : PP, SS, CC

 1. Pop & Param: 2. Sample & Statistics: 3. Choose Inference & Criteria:

Step 2 : Conditions : RIN

 1. Random: 2. Independence: 3. Normal Distribution:

Step 3 : GAA

 1. Graph 2. Axis 3. Area

Step 4 : CCC

 1. Compare: 2. Contrast: 3. Context: