Math Problem Statement
The wildlife department has been feeding a special food to rainbow trout fingerlings in a pond. Based on a large number of observations, the distribution of trout weights is normally distributed with a mean of 402.7 grams and a standard deviation of 8.8 grams. What is the probability that the mean weight for a sample of 40 trout exceeds 405.5 grams?
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Normal Distribution
Central Limit Theorem
Probability
Formulas
Standard Error of the Mean (SE) = σ / √n
Z-score = (x̄ - μ) / SE
Theorems
Central Limit Theorem
Suitable Grade Level
Grades 10-12
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