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 47 inches and 51 inches tall. complete 95% of 7 - year - old children are between 45 inches and 53 inches tall. complete 99.7% 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 47 inches and 51 inches tall. complete 95% of 7 - year - old children are between 45 inches and 53 inches tall. complete 99.7% of 7 - year - old children are between inches and inches tall. done

Answer

Answer:

43, 55

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 lower bound

The mean $\mu = 49$ inches and the standard deviation $\sigma=2$ inches. The lower bound is $\mu - 3\sigma=49 - 3\times2=49 - 6 = 43$ inches.

Step3: Calculate upper bound

The upper bound is $\mu + 3\sigma=49+3\times2=49 + 6 = 55$ inches.