Math Problem Statement
The quality-control manager at a light emitting diode (LED) factory needs to determine whether the mean life of a large shipment of LEDs is equal to 50,000 hours. The population standard deviation is 1,000 hours. A random sample of 64 LEDs indicates a sample mean of 49,875 hours
(a) At a 0.05 level of significance, is there evidence that the mean life is different from 50,000 hours? We accept the Null.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
Z-test
Significance Level
Formulas
Z = (X̄ - μ) / (σ / √n)
Theorems
Central Limit Theorem
Standard Normal Distribution
Suitable Grade Level
Grades 11-12, Undergraduate
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