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Test on μ
  Tests μ against μ0. UNDER CONSTRUCTION
2025.Feb.22 21:13:22
n Sample size (for μ) or 0 (for data). •
Sample Iff n ≠ 0, sample average; or data. •
μ0, σ   Mean under test and st. deviation (ignored if 'unknown' and data). •
α % Level of significance (in percentage). •
Relation (R) Relation (<, = , >). •
Show values ? Shows graph coordinates. •

Performs a test of hypothesis on the mean, μ, against μ0, with the standard deviation, σ, considered 'known' or 'unknown'. It tests

Null hypothesis H0: μ  'R'  μ0
Alternative hypothesis   H1: μ  '¬R'  μ0

The base case is from Walpole & Myers [1989, 306], for which the results are z0 > 1.645 and z = 2.02: reject H0, i.e., μ > 70.

[Simulated sample with same average, 71.8 ...]

References: Plate: HypothesisTest

• Walpole, Ronald E., Raymond H. Myers, 1989, "Probability and Statistics for Engineers and Scientists", 4th. ed., Macmillan. (ISBN: 0-02-424210-1) (Excel.xlsx)

• Virtual Laboratories in Probability and Statistics (Normal, search "Computational Exercises") (Univ. of Alabama, Huntsville)

• 1910-07-06: Collatz, Lothar (1990-09-26).

 
 
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Created: 2010-07-06 — Last modified: 2013-01-28