Math Problem Statement

Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. Identify the null and alternative hypotheses, and calculate the test statistic.

Solution

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
One-Sample T-Test
Significance Level
Test Statistic

Formulas

Null Hypothesis (H0): μ = 14
Alternative Hypothesis (H1): μ < 14
Test Statistic: t = (x̄ - μ) / (s / √n)

Theorems

Central Limit Theorem
T-Distribution Properties

Suitable Grade Level

Undergraduate Level