type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar…
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the mean of a normally distributed dataset is 12, and the standard deviation is 2. % of the data points lies between 8 and 16.
Answer
Explanation:
Step1: Calculate z - scores
For (x = 8), (z_1=\frac{8 - 12}{2}=\frac{- 4}{2}=-2). For (x = 16), (z_2=\frac{16 - 12}{2}=\frac{4}{2}=2).
Step2: Use the empirical rule
The empirical rule for a normal distribution states that approximately 95% of the data lies within (z=- 2) and (z = 2).
Answer:
95