# (Solution) Math 225N Week 4 Lab Assignment

1. Consider iron levels in a population that have a mean of 15.5 gdL and a standard deviation of 1.6 gdL. You are measuring the iron levels in one patient.
• Question 1: Give an example of an iron level from the patient that would be considered unusual. Describe how you determined that such a level would be considered unusual, using the Empirical Rule
2. Rather than one patient, you are now measuring iron levels from a group of individuals.
• Question 2: Assume a specific sample size. This would be the number of individuals in the group. Using that sample size, determine the range within which the group’s average iron level would be consider usual. Describe how you arrived at that range using the Central Limit Theorem and the Empirical Rule.
3. Consider a specific area of interest to you in the health sciences.
• Question 3: Describe 3 variables or measures that would probably follow a normal distribution. Describe why you believe they would follow a normal distribution.
4. After typing your answers to the three questions, be sure your name is on the Word document, save it, and then submit it under “assignments” and “Week 4: Lab”.

Solution:

Question 1: Empirical rule

The main assumption is that the levels of iron in the population is normally distributed. This implies that the histogram or curve of the population would be bell-shaped. Under this assumption, it is possible to apply the empirical normal rule.  In  line with this rule, about 68 percent of the population will lie within one standard deviation from the mean, 95 percent of the population will lie within two standard deviations from the mean, and about 99.7 percent of the population will lie within 3 standard deviations from the mean (Bennett,  Briggs, Triola, 2018).

Taking above into consideration, it implies that 68 percent will have iron levels ranging from 13.9 to 17.1 gdl.  95 percent of the population will have iron levels ranging from 12.3 to 18.7 gdl. Lastly, about 99.7 percent of the population will have iron levels ranging from 10.7 to 20.3 gdl. From these, it can be concluded that any iron level below 10.7 gdl or greater than 20.3 gdl will be regarded as unusual.

Question 2: Central Limit Theorem

Using a sample size of 20, it is possible to measure the iron levels from randomly chosen individuals in that specific population.  It is possible to determine the range of normal values as well as unusual values in this sample…..Please click the Paypal icon below to purchase full solution for only \$5