Use technology to solve the following problem: A normal population has a mean $\mu = 28$ and standard deviation $\sigma = 6$ What proportion of the population is between 18 and 26?
A) 0.3217
B) 0.0478
C) 0.6783
D) 0.3694

Question

Quizplus · Accepted Answer

To find the proportion of the population between 18 and 26, we use the Z-score formula: $Z = \frac{X - \mu}{\sigma}$. For X = 18, $Z = \frac{18 - 28}{6} = -1.67$. For X = 26, $Z = \frac{26 - 28}{6} = -0.33$. Using a standard normal distribution table or calculator, the area between Z = -1.67 and Z = -0.33 is approximately 0.3217.

Use Technology to Solve the Following Problem: a Normal Population μ=28\mu = 28μ=28

Use Technology to Solve the Following Problem: a Normal Population $\mu = 28$