Inferential Statistics Cases — MATH200 (TC3, 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
* These cases are not required for TC3 MATH200. For just the MATH200 cases, see Inferential Statistics: Basic Cases.
NUMERIC DATA SRS required: n ≥ 30, or sample is ND with no outliers
0	One pop. mean, known σ	9.1, 10.2	μ	CI: `ZInterval`; HT: `Z-Test`; sample size: MATH200A part 6
1	One pop. mean, unknown σ	9.2, 10.3	μ	CI: `TInterval`; HT: `T-Test`; sample size (optional): MATH200A part 6
1S*	One pop. standard dev.	C.2, C.3	σ	CI and HT: MATH200B part 5 (not TI-89)
3	Mean difference for paired data	11.1	μ_d	CI: `TInterval`; HT: `T-Test`; (optional) List Operations for Paired t Test on TI-83/84
4	Difference of 2 indep. pop. means	11.2	μ₁−μ₂	CI: `2-SampTInt`; HT: `2-SampTTest`
4S*	Two pop. standard dev.	none	σ₁/σ₂	CI: n/a; HT: `2-SampFTest`
8*	Equality of several pop means	C.4	μ₁, μ₂, μ₃, ...	CI: undefined; HT: `ANOVA`; see also One-Way ANOVA
9*	Linear correlation coefficient	none	ρ or r	CI and HT: MATH200B part 6 (TI-89 HT: `LinRegTTest`)
10B*	Slope of regression line	12.3	β₁	CI and HT: MATH200B part 7 (TI-89 CI: `LinRegTInt`; TI-89 HT: `LinRegTTest`)
10Y*	Predicted values of y	12.4	μ_{y\|x_j}, y_j	MATH200B part 7 (not TI-89)
BINOMIAL DATA SRS required: n p̂ (1−p̂) ≥ 10 and 20 n ≥ N
2	One pop. proportion	9.3, 10.4	p	CI: `1-PropZInt`; HT: `1-PropZTest`; sample size: MATH200A part 6
5	Difference of 2 pop. proportions	11.3	p₁−p₂	CI: `2-PropZInt`; HT: `2-PropZTest`; sample size: MATH200A part 6
CATEGORICAL DATA SRS required: no E’s < 1 and no more than 20% of all E’s < 5
6	Goodness of fit (GOF) or multinomial	12.1	none	CI: undefined; HT: MATH200A part 7 (TI-89: `Chi2 GOF` or Testing Goodness of Fit on TI-89)
7	Independence or homogeneity (in contingency table)	12.2	none	CI: undefined; HT: `χ²-Test` (TI-89: `Chi2 2-way`)

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.