If a variable has a distribution that is bell-shaped with mean 16 and standard deviation 6 , then according to the Empirical Rule, 99.7 % of the data will lie between which values? g

99,7 % of all values will be in the interval (-2; 34)

Step-by-step explanation:

Empirical Rule for the normal distribution with mean X, implies that the intervals:

X ± σ will contain 68 % of all values

X ± 2σ will contain 95 % of all values

X ± 3σ will contain 99,7 % of all values

Therefore in the interval X - 3σ; X + 3σ

X - 3*6 = X - 18 = 16 - 18 = - 2

And

X + 3*6 = X + 18 = 16 + 18 = 34

99,7 % of all values will be in the interval (-2; 34)