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 u = 3.8 and standard deviation a = 0.3. The Standard Normal Distribution 4- 0,0 - 1) -2 68% of area 95% of area 99.7% of area (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) 2.33 (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) z< 1.33 (c) Convert thex interval, 4.0 < x< 5.5, to a z interval. (Round your answers to two decimal places.) 0.67 v

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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 u = 3.8 and standard deviation o = 0.3.
The Standard Normal Distribution
u = 0, o - 1)
-3
68% of area
95% of area
99.7% of area
(a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)
2.33
(b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)
z< 1.33
(c) Convert the x interval, 4.0 < x< 5.5, to a z interval. (Round your answwers to two decimal places.)
0.67
<z< 5.67
(d) Convert the z interval, z < -1.44, to an x interval. (Round your answer to one decimal place.)
(e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)
(f) Convert the z interval, -2.25 <z< -1.00, to an x interval. (Round your answers to one decimal place.)
(g) If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values.
O Yes. Az score of 7.00 implies that this RBC is unusually high.
O No. Az score of -7.00 implies that this RBC is unusually low.
O No. A z score of 7.00 implies that this RBC is normal.
Transcribed Image Text: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 u = 3.8 and standard deviation o = 0.3. The Standard Normal Distribution u = 0, o - 1) -3 68% of area 95% of area 99.7% of area (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) 2.33 (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) z< 1.33 (c) Convert the x interval, 4.0 < x< 5.5, to a z interval. (Round your answwers to two decimal places.) 0.67 <z< 5.67 (d) Convert the z interval, z < -1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) (f) Convert the z interval, -2.25 <z< -1.00, to an x interval. (Round your answers to one decimal place.) (g) If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values. O Yes. Az score of 7.00 implies that this RBC is unusually high. O No. Az score of -7.00 implies that this RBC is unusually low. O No. A z score of 7.00 implies that this RBC is normal.
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