Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

t-distribution
probability
degrees of freedom

Formulas

P(-1.58 < t < 1.58) = 2 * P(t < 1.58) - 1
P(t ≤ c) = 0.01 (inverse cumulative probability for t-distribution)

Theorems

t-distribution properties
Cumulative distribution function (CDF)
Inverse cumulative distribution

Suitable Grade Level

Undergraduate Statistics