Question

use the information in the table to complete the statements.

\

$$\begin{tabular}{|c|c|c|} \\hline age & mean & standard deviation \\\\ \\hline 12 years & 58 inches & 2.3 inches \\\\ \\hline \\end{tabular}$$

about 68% of sixth-grade students will have heights between 55.7 inches and 60.3 inches.

about 95% of sixth-grade students will have heights between 53.4 inches and 62.6 inches.

about 99.7% of sixth-grade students will have heights between inches and inches.

Explanation:

Identify given values and target intervals

Using the Normal Distribution and Standard Deviation Interval knowledge points

$$
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$$

Calculate the 3-standard-deviation interval

Using the Standard Deviation Interval knowledge point

$$
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$$

Answer:

About 99.7% of sixth-grade students will have heights between <blank>51.1</blank> inches and <blank>64.9</blank> inches.