In: Statistics and Probability
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 4.38 million cells/mcL with a standard deviation of 0.228 million cells/mcL. You randomly select 184 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 4.37 million cells/mcL?
Question 8 options:
  | 
|||
  | 
|||
  | 
|||
  | 
|||
  | 
Given that,
mean = 
 = 4.38
standard deviation = 
 = 0.228
n=184

= 
=4.38

= 
 / 
n = 0.228/ 
 187= 0.0168
P(
 >4.37 ) = 1 - P(
< 4.37)
= 1 - P[(
- 
) / 
< (4.37-4.38) /0.0168 ]
= 1 - P(z < -0.60)
Using z table
= 1 - 0.2759
= 0.7241
probability= 0.7241