Math Problem Statement
suppose a normally distributed set of 6000 observations has a mean of 159 and a standard deviation of 13 use the 68-95-99.7 rule to determine the number of observations in the data set expected between the values of 146 and 185
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Normal Distribution
Empirical Rule (68-95-99.7 Rule)
Formulas
z = (X - μ) / σ
Number of observations = Percentage of data within the range × Total observations
Theorems
Empirical Rule (68-95-99.7 Rule)
Suitable Grade Level
Grades 10-12
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