Question

2 select the correct answer from each drop - down menu. alice works at a health care facility. she has measured the hemoglobin levels of 200 people. the data follows a normal distribution with a mean of 14 g/dl and a standard deviation of 1. from the given data, we can conclude that about people have hemoglobin levels less than 13, and about people have hemoglobin levels greater than 14.

Explanation:

Step1: Calculate z - score for 13

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x = 13$, $\mu=14$, $\sigma = 1$. So $z=\frac{13 - 14}{1}=- 1$.

Step2: Find proportion of data less than z = - 1

Looking up in the standard normal distribution table, the proportion of data to the left of $z=-1$ is approximately $0.16$.

Step3: Calculate number of people with hemoglobin less than 13

Multiply the proportion by the total number of people. $0.16\times200 = 32$.

Step4: Analyze data greater than the mean

In a normal distribution, the mean divides the data in half. So the proportion of data greater than the mean is $0.5$.

Step5: Calculate number of people with hemoglobin greater than 14

$0.5\times200=100$.

Answer:

The number of people with hemoglobin levels less than 13 is 32, and the number of people with hemoglobin levels greater than 14 is 100.