use the information in the table to complete the statements.\n| age | mean | standard deviation |\n| ---- |…
use the information in the table to complete the statements.\n| age | mean | standard deviation |\n| ---- | ---- | ---- |\n| 12 years | 58 inches | 2.3 inches |\nabout 68% of sixth - grade students will have heights between \n\ninches and \ninches.\ndone
Answer
Explanation:
Step1: Recall the empirical rule
In a normal - distribution, about 68% of the data lies within 1 standard deviation of the mean.
Step2: Calculate the lower bound
The lower bound is the mean minus the standard deviation. Let $\mu = 58$ (mean) and $\sigma=2.3$ (standard deviation). The lower bound $L=\mu - \sigma=58 - 2.3 = 55.7$.
Step3: Calculate the upper bound
The upper bound is the mean plus the standard deviation. The upper bound $U=\mu+\sigma=58 + 2.3=60.3$.
Answer:
55.7, 60.3