select the correct answer from each drop - down menu. alice works at a health care facility. she has…

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.

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.

Answer

Answer:

First blank: 32 Second blank: 100

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 for $z=-1$

Looking up in the standard normal distribution table, the proportion of values less than $z=-1$ is approximately 0.1587.

Step3: Calculate number of people with $x < 13$

Multiply the proportion by the total number of people. $0.1587\times200\approx32$.

Step4: Analyze values greater than the mean

In a normal distribution, 50% of the data is greater than the mean. So the number of people with values greater than 14 is $0.5\times200 = 100$.