apply the empirical rule\nage mean standard deviation\n7 years 49 inches 2 inches\naccording to the…

apply the empirical rule\nage 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.\ncomplete\n95% of 7 - year - old children are between inches and inches tall.\ndone

apply the empirical rule\nage 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.\ncomplete\n95% of 7 - year - old children are between inches and inches tall.\ndone

Answer

Answer:

45 inches, 53 inches

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, 49−2×2 = 49 - 4=45 inches.

Step3: Calculate upper bound

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