The measure of the hemoglobin MC levels is indicative or how

The measure of the hemoglobin MC levels is indicative or how high glucose eve1s have been maintained for the past several months. A in medical laboratory, in trying to find out what is the range of A1C values tot Its patient population, randomly selects 500 patients and determines their hemoglobin MC levels. The laboratory obtains an average value of 4.8. The standard deviation is 0.4. Using the table given, how many of these patients are termed as having normal glucose levels?

Solution

Sol) n=500

mean=4.8 and Sd=0.4

we need to find P(4.0<=x<=5.3)

When x=4.0   When x=5.3

Z= (X - )/   Z= (X - )/

Z= -2 Z= 1.25

Now P(4.0<=x<=5.3) =P( -2 <= Z<=1.25)

=0.4772 +0.3944

=0.8716

The prob that patients having normal glucose levels is 0.8716

Number of patients having normal glucose levels is= N*P(x) =500*0.8716 =436