Math Problem Statement
The population mean and standard deviation is 50 and 3.6 respectively. If we were to choose 10 samples from the population. What is the probability that its mean is between 45 and 55
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Probability
Central Limit Theorem
Normal Distribution
Formulas
Standard error of the mean: σ_x̄ = σ / √n
Z-score: z = (x - μ) / σ_x̄
Theorems
Central Limit Theorem
Suitable Grade Level
Grades 11-12 (Advanced High School) / Introductory College Level
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