Inferential Statistics Cases — TC3 MATH200 (Brown)

Summary: This table organizes procedures for inferential statistics into a chart of Cases. If you print this page, use Landscape mode for best results.

Case Number and Description		Text Sec.	Pop. Param.	TI-83/84/89 Procedures
Case Number and Description		Text Sec.	Pop. Param.	CI	HT	More Information
* These cases are not required for TC3 MATH200.
0	One pop. mean, known σ	10.2, 9.1	μ	`ZInterval`	`Z-Test`
1	One pop. mean, unknown σ	10.3, 9.2	μ	`TInterval`	`T-Test`
1S*	One pop. standard dev.	C.2, C.3	σ	none	none	Inferences about Standard Deviation of One Pop.
2	One pop. proportion	10.4, 9.3	p	`1-PropZInt`	`1-PropZTest`
3	Mean difference for paired data	11.1	μ_d	`TInterval`	`T-Test`	List Operations for Paired t Test on the TI-83/84
4	Difference of 2 indep. pop. means	11.2	μ₁−μ₂	`2-SampTInt`	`2-SampTTest`
4S*	Two pop. standard dev.	none	σ₁/σ₂	none	`2-SampFTest`
5	Difference of 2 pop. proportions	11.3	p₁−p₂	`2-PropZInt`	`2-PropZTest`
6	Goodness of fit (GOF) or multinomial	12.1	n/a	n/a	TI-83/84: (`GOF` program) TI-89: `Chi2 GOF`	Testing Goodness of Fit on the TI-83/84 Testing Goodness of Fit on the TI-89
7	Independence or homogeneity (in contingency table)	12.2	n/a	n/a	TI-83/84: `χ²-Test` TI-89: `Chi2 2-way`
8*	Equality of several pop means	C.4	μ₁, μ₂, μ₃, ...	n/a	`ANOVA`
9	Linear correlation coefficient	4.1	ρ or r	(`CORINFER` program)	`LinRegTTest` or (`CORINFER` program)	Inferences about Linear Correlation on the TI-83/84/89
9	Check with instructor whether you need the full treatment or just Decision Points for Correlation Coefficient.
10B*	Slope of regression line	12.3	β₁	TI-83: (`REGINFER` program) TI-84: `LinRegTInt` or (`REGINFER` program) TI-89: `LinRegTInt`	`LinRegTTest` or (`CORINFER` program)	Inferences about Linear Regression on the TI-83/84
10Y*	Predicted values of y	12.4	μ_{y\|x_j}, y_j	(`REGINFER` program)	n/a	Inferences about Linear Regression on the TI-83/84

Acknowledgement: This table was inspired by Dabes & Janik's Statistics Manual (1999) page 163; I have modified the format substantially and added cases 1S, 4S, 8, 9, 10B, 10Y.