## Red Blood Cell Count Analysis### Normal Distribution of Red Blood Cell CountsThe red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a normal distribution, with a mean of 5.3 million cells per microliter and a standard deviation of 0.5 million cells per microliter.Given these parameters, we can determine specific percentiles of red blood cell counts.### Questions and Solutions#### (a) Minimum Red Blood Cell Count for Top 30%**Question:** What is the minimum red blood cell count that can be in the top 30% of counts?**Answer:** The minimum red blood cell count is _____ million cells per microliter.*Note: The actual value should be calculated and rounded to two decimal places as needed.*#### (b) Maximum Red Blood Cell Count for Bottom 13%**Question:** What is the maximum red blood cell count that can be in the bottom 13% of counts?**Answer:** The maximum red blood cell count is _____ million cells per microliter.*Note: The actual value should be calculated and rounded to two decimal places as needed.*### Explanation and Calculations1. **Understanding the Normal Distribution:** - Mean (\(\mu\)) = 5.3 million cells per microliter - Standard Deviation (\(\sigma\)) = 0.5 million cells per microliter2. **Using Z-scores:** - To find the required red blood cell counts for the given percentiles, we use the Z-score formula: \[ Z = \frac{(X - \mu)}{\sigma} \] where \(X\) is the red blood cell count.3. **Converting Percentiles to Z-scores:** - For the top 30%: Use statistical tables or a Z-score calculator to find the Z-score corresponding to the 70th percentile. - For the bottom 13%: Use statistical tables or a Z-score calculator to find the Z-score corresponding to the 13th percentile.4. **Calculating the Counts:** - Convert the Z-scores back to red blood cell counts using the formula: \[ X = \mu + (Z \times \sigma) \]### Completion of the ValuesBy performing these calculations, you can obtain the specific

Name: ## Red Blood Cell Count Analysis### Normal Distribution of Red Blood
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ## Red Blood Cell Count Analysis### Normal Distribution of Red Blood Cell CountsThe red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a normal distribution, with a mean of 5.3 million

Answered: Image /qna-images/answer/39b23235-4f08-4b66-8362-e20dda9b2e59.jpg

Answered: The red blood cell counts (in millions…

Math

Statistics

The red blood cell counts (in millions of cells per microliter) per microliter and a standard deviation of 0.5 million cells per microliter. Iblood ooll count that can be in the top 30% o

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The average birth weight of elephants is 250 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 40 pounds. Find the birth weight of elephants at the 90th percentile.
The average length of one month old infants is 21. 52 inches with the standard deviation of one. 02 at his one month check up Kyle measures in the 25. 47 percentile how long is Kyle.
A study reported that the mean concentration of ammonium in water wells in the state of Iowa was 0.71 milligram per liter, and the standard deviation was 1.09 milligrams per liter. Is it possible to determine whether these concentrations are approximately normally distributed. If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.
Blood pressure is distributed Normally, with a mean of 85 mm and a standard deviation of 20 mm. What fraction of the population has a blood pressure above 80 mm?
A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds. How many M&M's would I have to eat to be in the 3rd quartile?
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
A uniform distribution has endpoints 4 and 18. What is the 90th percentile, reporting to one decimal place?
While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 1.50 m and 5.50 m. What is the standard deviation of the water depth?
According to data for a population, 3-year-old boys have a mean height of 39 inches and a standard deviation of 2 inches. Assume the distribution is approximately Normal. Find the percentile measure for a height of 41 inches for a 3-year-old boy
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 71 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 62 miles per hour and 80 miles per hour. Assume the data set has a bell shaped distribution.
The mean speed of vehicles along a stretch of highway is 75 miles per hour with a standard deviation of 3.8 miles per hour. Your current speed along this stretch of highway is 62 miles per hour. What is the z-score for your speed?