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?
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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