Question

determine the indicated interval. multiple choice 4 points for a normal curve with mean 8 and standard deviation 7, identify which of the following intervals will define an area underneath the curve of approximately 0.68. from - 6 to 22 from 1 to 15 from 8 to 22 from 4.5 to 11.5 they are equally spread out there is insufficient information to answer the question

Explanation:

Step1: Recall empirical rule

For a normal distribution, about 68% of the data lies within 1 - standard - deviation of the mean. The formula for the interval within $k$ standard deviations of the mean is $\mu\pm k\sigma$, where $\mu$ is the mean and $\sigma$ is the standard deviation. Here, $k = 1$, $\mu=8$ and $\sigma = 7$.

Step2: Calculate the lower and upper bounds

The lower bound is $\mu - \sigma=8 - 7=1$.
The upper bound is $\mu+\sigma=8 + 7 = 15$.

Answer:

from 1 to 15