Math Problem Statement

A random sample is drawn from an approximately normal distribution. Use the t-table to find the critical values of t for the indicated sample size and value of α. Compute the indicated probabilities for the t-distribution. Solve problems related to t-scores, probability values, and hypothesis testing based on given sample data.

Solution

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Math Problem Analysis

Mathematical Concepts

t-distribution
Critical Values
Probability
Hypothesis Testing

Formulas

t = (x̄ - μ) / (s / sqrt(n))
P(T > tα)
P(T < -tα)
Confidence Interval = x̄ ± tα/2 * (s / sqrt(n))

Theorems

Student's t-distribution
Central Limit Theorem

Suitable Grade Level

College-level Statistics or AP Statistics

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