Question

A scientist is interested in the response of red blood cell counts in adult males after extended use of a particular medication. The average expected blood count is 4.29 million cells/mcL with a standard deviation of 0.211 million cells/mcL. You randomly select 110 men to participate in a study. What is the probability that the average red blood count after continued use of the medication is greater than 4.32 million cells/mcL?

Question 2 options:

	1) 0.4435
	2) 0.5565
	3) 0.9320
	4) 0.0680
	5) -5.5232

Answer 1

Solution :

Given that ,

mean = = 4.29

standard deviation = = 0.211

n = 110

= and

= / n = 0.211 / 110 = 0.0201

P( > 4.32) = 1 - P( < 4.32)

= 1 - P(( - ) / < (4.32 - 4.29) / 0.0201)

= 1 - P(z < 1.49)

= 1 - 0.9320 Using standard normal table.

= 0.0680

The probability that the average red blood count after continued use of the medication is greater than 4.32 million cells/mcL is 0.0680

Option 4 is correct.