This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the interval that covers 95% of the values in a normal distribution, we use the Empirical Rule. For a normal distribution, approximately 95% of the data falls within 2 standard deviations of the mean. Given: Mean (μ) = 15 Standard Deviation (σ) = 3 Step 1: Calculate the lower bound of the interval. Lower bound = μ - 2σ Lower bound = 15 - (2 × 3) Lower bound = 15 - 6 Lower bound = 9 Step 2: Calculate the upper bound of the interval. Upper bound = μ + 2σ Upper bound = 15 + (2 × 3) Upper bound = 15 + 6 Upper bound = 21 The interval that covers 95% of the values is (9, 21). 3 done, 2 left today. You're making progress.