Companies who design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten children can be described by a normal model with a mean of 39.2 inches and standard deviation of 1.9 inches. In what height interval should the company expect to find the middle 70% of Kindergartners?

Question

Emmalee Huffman

Mathematics

20 May, 18:04

Companies who design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten children can be described by a normal model with a mean of 39.2 inches and standard deviation of 1.9 inches. In what height interval should the company expect to find the middle 70% of Kindergartners?

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Cynthia Chung · Answer 1

Given:

μ = 39.2 in, population mean

σ = 1.9 in, population standard deviation

For the normal distribution, approximately 70% of the area under the curve is within 1 standard deviation from the mean.

The corresponding height interval is

(39.2-1.9, 39.2+1.9) = (37.3, 41.1)

Answer:

The height interval is (37.3, 41.1)