age mean standard deviation 7 years 49 inches 2 inches according to the empirical rule, 68% of 7 - year…

age mean standard deviation 7 years 49 inches 2 inches according to the empirical rule, 68% of 7 - year - old children are between inches and inches tall. done

age mean standard deviation 7 years 49 inches 2 inches according to the empirical rule, 68% of 7 - year - old children are between inches and inches tall. done

Answer

Answer:

47 inches, 51 inches

Explanation:

Step1: Recall empirical - rule

The empirical rule for a normal distribution states that about 68% of the data lies within 1 standard - deviation of the mean.

Step2: Calculate lower bound

The lower bound is $\text{Mean}-\text{Standard Deviation}$. Given $\text{Mean}=49$ inches and $\text{Standard Deviation}=2$ inches, so the lower bound is $49 - 2=47$ inches.

Step3: Calculate upper bound

The upper bound is $\text{Mean}+\text{Standard Deviation}$. So the upper bound is $49 + 2 = 51$ inches.