Question

The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult...

The 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 5.8 million cells per microliter and a standard deviation of 0.3 million cells per microliter.

​(a) What is the minimum red blood cell count that can be in the top 20​% of​ counts?

​(b) What is the maximum red blood cell count that can be in the bottom 10​% of​ counts?

​(a) The minimum red blood cell count is _____ million cells per microliter.

​(Round to two decimal places as​ needed.)

Homework Answers

Answer #1

solution

Using standard normal table,

P(Z > z) = 20%

= 1 - P(Z < z) = 0.20

= P(Z < z ) = 1 - 0.20

= P(Z < z ) = 0.80

= P(Z < 0.84 ) = 0.80

z = 0.84 (using standard normal (Z) table )

Using z-score formula  

x = z * +

x=0.84 *0.3+5.8

x= 6.052

(B)Using standard normal table,

P(Z < z) = 10%

= P(Z < z) = 0.10  

= P(Z <-1.28 ) = 0.10

z = -1.28 Using standard normal z table,

Using z-score formula  

x= z * +

x= -1.28 *0.3+5.8

x= 5.416

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult...
The 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 5.8 million cells per microliter and a standard deviation of 0.4 million cells per microliter. ​(a) What is the minimum red blood cell count that can be in the top 26​% of​ counts? ​(b) What is the maximum red blood cell count that can be in the bottom 13​% of​ counts?
The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult...
The 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 5.7 million cells per microliter and a standard deviation of 0.3 million cells per microliter. ​(a) What is the minimum red blood cell count that can be in the top 21​% of​ counts? ​(b) What is the maximum red blood cell count that can be in the bottom 12​% of​ counts?
The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult...
The 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 5.2 million cells per microliter and a standard deviation of 0.3 million cells per microliter. ​(a) What is the minimum red blood cell count that can be in the top 22​% of​ counts? ​(b) What is the maximum red blood cell count that can be in the bottom 13​% of​ counts?
The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult...
The 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 5.2 million cells per microliter and a standard deviation of 0.4 million cells per microliter. ​(a) What is the minimum red blood cell count that can be in the top 28​% of​ counts? ​(b) What is the maximum red blood cell count that can be in the bottom 16​% of​ counts? ​(a)...
The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult...
The 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 5.6 million cells per microliter and a standard deviation of 0.5 million cells per microliter.​(a) What is the minimum red blood cell count that can be in the top 21​% of​ counts?​(b) What is the maximum red blood cell count that can be in the bottom 10​% of​ counts? ​
The red blood cell counts (in cells per microliter) of a healthy adult measured on days...
The red blood cell counts (in cells per microliter) of a healthy adult measured on days are as follows: 54, 55, 53, 50, 48 Find the standard deviation of this sample of counts. Round your answer to two decimal places.
A simple random sample of 100 adults is obtained, and each person’s red blood cell count...
A simple random sample of 100 adults is obtained, and each person’s red blood cell count (in cells per microliter) is measured. The sample mean is 4.63 and the standard deviation for red blood cell counts is 0.54. Construct a 90% confidence interval estimate of the mean red blood cell count of adults.
Assume that the red blood cell counts of woman are normally distributed with a mean of...
Assume that the red blood cell counts of woman are normally distributed with a mean of 4.577 and a standard deviation of 0.328. Apply technology or calculator to solve the following questions, make sure you apply the round-off rule correctly: (a) Find the probability that a randomly selected woman has a red blood cell count below the normal range of 4.1 to 5.4. (b) Find the probability that a randomly selected woman has a red blood cell count above the...
Assume that the red blood cell counts of woman are normally distributed with a mean of...
Assume that the red blood cell counts of woman are normally distributed with a mean of 4.577 and a standard deviation of 0.328. Apply technology or calculator to solve the following questions, make sure you apply the round-off rule correctly: (a) Find the probability that a randomly selected woman has a red blood cell count below the normal range of 4.1 to 5.4. (b) Find the probability that a randomly selected woman has a red blood cell count above the...
A simple random sample of 55 adults’ measurements of their red blood cell count (in cells...
A simple random sample of 55 adults’ measurements of their red blood cell count (in cells per microliter) is obtained. For the sample the mean is 5.28 and its standard deviation is 0.55. (i) Use a .01 significance level to test the claim that the sample is from a population with mean less than 5.37. (ii) Use a confidence interval to test the same claim.