In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviatio
n of 3 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.
1 answer:
Answer:
Two intervals are 63 and 75
Step-by-step explanation:
Given:
Mean of students (μ) = 69 inches
Standard deviation (σ) = 3 inches μ
Find:
Interval of heights (95%) using empirical rule
Computation:
Interval of heights (95%) using empirical rule:
⇒ μ – 2σ = 69 - 2(3)
⇒ μ – 2σ = 69 - 6
⇒ μ – 2σ = 63
⇒ μ + 2σ = 69 + 2 (3)
⇒ μ + 2σ = 69 + 6
⇒ μ + 2σ = 75
Two intervals are 63 and 75
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Step-by-step explanation:
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