age mean standard deviation\n7 years 49 inches 2 inches\naccording to the empirical rule, 68% of 7 - year…

age mean standard deviation\n7 years 49 inches 2 inches\naccording to the empirical rule, 68% of 7 - year - old children are between 47 inches and 51 inches tall.\n95% of 7 - year - old children are between 45 inches and 53 inches tall.\n99.7% of 7 - year - old children are between \n\n inches and \n\n inches tall.

age mean standard deviation\n7 years 49 inches 2 inches\naccording to the empirical rule, 68% of 7 - year - old children are between 47 inches and 51 inches tall.\n95% of 7 - year - old children are between 45 inches and 53 inches tall.\n99.7% of 7 - year - old children are between \n\n inches and \n\n inches tall.

Answer

Explanation:

Step1: Recall empirical - rule for normal distribution

The empirical rule states that for a normal distribution, about 99.7% of the data lies within 3 standard - deviations of the mean.

Step2: Calculate the lower bound

The formula for the lower bound is $\mu - 3\sigma$, where $\mu = 49$ (mean) and $\sigma = 2$ (standard deviation). So, $49-3\times2=49 - 6=43$.

Step3: Calculate the upper bound

The formula for the upper bound is $\mu + 3\sigma$. So, $49+3\times2=49 + 6=55$.

Answer:

43, 55