TC3 → Stan Brown → Statistics → Inferential Stats Cases
revised 11 May 2010

Inferential Statistics: Basic Cases

Copyright © 2007–2010 by Stan Brown, Oak Road Systems

Summary:  This table organizes procedures for basic inferential statistics into a chart of Cases. You may use this page on quizzes beginning with Chapter 9 and on the final exam.

See also:  Triage: Which Inferential Stats Case Should I Use? and for more cases see Inferential Statistics Cases

Case Number
and Description
Text
Sec.
Pop. Param. TI-83/84/89 Procedures
NUMERIC DATA
SRS required: n ≥ 30, or sample is ND with no outliers
0One pop. mean, known σ 9.1, 10.2 μ CI: ZInterval; HT: Z-Test; sample size: MATH200A part 6
1One pop. mean, unknown σ 9.2, 10.3 μ CI: TInterval; HT: T-Test; sample size (optional): MATH200A part 6
3Mean difference for paired data 11.1 μd CI: TInterval; HT: T-Test; (optional) List Operations for Paired t Test on TI-83/84
4Difference of 2 indep. pop. means 11.2 μ1−μ2 CI: 2-SampTInt; HT: 2-SampTTest;
requirements apply to each sample
9Linear correlation coefficient 4.1 ρ or r CI: n/a; HT: Decision Points for Correlation Coefficient
BINOMIAL DATA
2One pop. proportion 9.3, 10.4 p CI: 1-PropZInt; HT: 1-PropZTest; sample size: MATH200A part 6
HT requires SRS, 20n ≤ N, and n po (1−po) ≥ 10
CI requires SRS, 20n ≤ N, and n (1−) ≥ 10
5Difference of 2 pop. proportions 11.3 p1−p2 CI: 2-PropZInt; HT: 2-PropZTest; sample size: MATH200A part 6
HT requires SRS, 20n1 ≤ N1, 20n2 ≤ N2, and (n1+n2) (1−) ≥ 10
CI: SRS, 20n1 ≤ N1, 20n2 ≤ N2, n1 1 (1−1) ≥ 10, and n2 2 (1−2) ≥ 10
CATEGORICAL DATA
SRS required: no E’s < 1 and no more than 20% of all E’s < 5
6Goodness 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)
7Independence 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.


This page is used in instruction at Tompkins Cortland Community College in Dryden, New York; it’s not an official statement of the College. Please visit www.tc3.edu/instruct/sbrown/ to report errors or ask to copy it.

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