A normal population has a mean $\mu = 34$ and standard deviation $\sigma = 11$ What proportion of the population is less than 41 ?
A) 0.8106
B) 1.0000
C) 0.2611
D) 0.7389

Question

A normal population has a mean $\mu = 34$ and standard deviation $\sigma = 11$ What proportion of the population is less than 41 ?
A)  0.8106 
B)  1.0000 
C)  0.2611 
D)  0.7389

Quizplus · Accepted Answer

To find the proportion of the population less than 41, we calculate the z-score: $ z = \frac{41 - 34}{11} = \frac{7}{11} \approx 0.636 $. Using the standard normal distribution table, the cumulative probability for $ z = 0.636 $ is approximately 0.7389.

A Normal Population Has a Mean μ=34\mu = 34μ=34 And Standard Deviation

A Normal Population Has a Mean $\mu = 34$ And Standard Deviation