use the information in the table to complete the statements. age mean standard deviation 12 years 58 inches…

use the information in the table to complete the statements. age mean standard deviation 12 years 58 inches 2.3 inches about 68% of sixth - grade students will have heights between 55.7 inches and 60.3 inches. complete about 95% of sixth - grade students will have heights between inches and inches. done

use the information in the table to complete the statements. age mean standard deviation 12 years 58 inches 2.3 inches about 68% of sixth - grade students will have heights between 55.7 inches and 60.3 inches. complete about 95% of sixth - grade students will have heights between inches and inches. done

Answer

Answer:

53.4, 62.6

Explanation:

Step1: Recall the empirical rule

For a normal - distribution, about 95% of the data lies within 2 standard deviations of the mean.

Step2: Calculate the lower bound

The mean $\mu = 58$ inches and the standard deviation $\sigma=2.3$ inches. The lower bound is $\mu - 2\sigma=58-2\times2.3 = 58 - 4.6=53.4$ inches.

Step3: Calculate the upper bound

The upper bound is $\mu + 2\sigma=58 + 2\times2.3=58 + 4.6 = 62.6$ inches.