Mr. Meinzen - Advanced Placement Statistics - Inference Worksheet

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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: