Math Problem Statement
An ecologist randomly samples 17 tulips of a specific variety and measures their heights. He finds that this sample has a mean of 11 cm and a standard deviation of 3 cm. If we assume that height measurements are normally distributed, find a 95% confidence interval for the mean height of all plants of this species.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Confidence Interval
T-Distribution
Formulas
Confidence interval formula: x̄ ± tα/2 * (s / √n)
Theorems
Central Limit Theorem
Properties of T-Distribution
Suitable Grade Level
Undergraduate
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