Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blo

Question

Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean = 4.5 and standard deviation = 0.2.

(a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)
< z

(b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)
z <  

(c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.)
< z <  

(d) Convert the z interval, z < 1.44, to an x interval. (Round your answer to one decimal place.)
x <  

(e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)
< x

(f) Convert the z interval, 2.25 < z < 1.00, to an x interval. (Round your answers to one decimal place.)
< x <  

(g) If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values.

Yes. A z score of 7.00 implies that this RBC is unusually high.No. A z score of 7.00 implies that this RBC is unusually low.    No. A z score of 7.00 implies that this RBC is normal.

Explanation / Answer

only first 4 need to be solved

You are given mu = 4.5and s = 0.2

we know z =( x- mu)/s

1)x<4.5

z=4.5-4.5 / 0.2 = 0 z<0

2)x<4.2

z =4.2-4.5 / 0.2 =- 1.5

-1.5<z

3)4.0<z<5.5

4-4.5 / 0.2 <z<5.5-4.5 / 0.2

-2.5<z<5

4) z = x - mu /s

-1.44 = x-4.5 ) / 0.2

-0.288=x -4.5

x= 4.5-0.288 = 4.212

remaining can be done simlarly like above

g) answer No. A z score of 7.00 implies that this RBC is normal.

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