Question

In: Statistics and Probability

A scientist is interested in the response of red blood cell counts in adult males after...

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:

1)

0.4825

2)

0.5175

3)

-18.8849

4)

0.2759

5)

0.7241

Solutions

Expert Solution

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


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