Math Problem Statement
The waiting time for patients at a local walk-in health clinic follows a normal distribution. One morning, the quality-assurance department measured 16 patients with a mean of 15 minutes and a standard deviation of 4 minutes. The quality-assurance department want to know what is the likelihood that the average waiting time was longer than 14.25 minutes with 99.9% confidence level.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
t-Distribution
Formulas
Standard Error of the Mean (SEM) = s / sqrt(n)
t-score = (x̄ - μ) / SEM
Theorems
Central Limit Theorem
t-Distribution
Suitable Grade Level
Undergraduate Statistics
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