which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? (empirical)\n9 to…
which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? (empirical)\n9 to 21\n13 to 16\n12 to 18\n6 to 24
Answer
Explanation:
Step1: Recall empirical rule
The empirical rule for a normal - distribution states that about 99.7% of the data lies within 3 standard deviations of the mean.
Step2: Calculate lower bound
The lower bound is $\mu - 3\sigma$, where $\mu = 15$ and $\sigma=3$. So, $15-3\times3=15 - 9 = 6$.
Step3: Calculate upper bound
The upper bound is $\mu + 3\sigma$. So, $15+3\times3=15 + 9 = 24$.
Answer:
6 to 24