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 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 inches and inches tall. done

Answer

Answer:

45, 53

Explanation:

Step1: Recall empirical - rule for 95%

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

Step2: Calculate lower bound

Lower bound = Mean - 2×Standard Deviation. Given Mean = 49 inches and Standard Deviation = 2 inches. So, Lower bound = 49 - 2×2 = 49 - 4 = 45 inches.

Step3: Calculate upper bound

Upper bound = Mean + 2×Standard Deviation. So, Upper bound = 49+2×2 = 49 + 4 = 53 inches.