select the correct answer from each drop - down menu. a certain distribution has a mean value of 100 and a…

select the correct answer from each drop - down menu. a certain distribution has a mean value of 100 and a standard deviation of 15. assuming the values are distributed normally, 95% of values will fall between and.

select the correct answer from each drop - down menu. a certain distribution has a mean value of 100 and a standard deviation of 15. assuming the values are distributed normally, 95% of values will fall between and.

Answer

Explanation:

Step1: Recall normal - distribution property

For a normal distribution, about 95% of the data lies within 2 standard deviations of the mean.

Step2: Calculate the lower bound

The formula for the lower bound is $\mu - 2\sigma$, where $\mu = 100$ (mean) and $\sigma=15$ (standard - deviation). So, $100-2\times15=100 - 30 = 70$.

Step3: Calculate the upper bound

The formula for the upper bound is $\mu + 2\sigma$. So, $100 + 2\times15=100+30 = 130$.

Answer:

70, 130