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 μ = 5.7 and standard deviation σ = 0.7. (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 0.29 implies that this RBC is unusually high. No. A z score of −0.29 implies that this RBC is unusually low. No. A z score of 0.29 implies that this RBC is normal.
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 μ = 5.7 and standard deviation σ = 0.7. (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 0.29 implies that this RBC is unusually high. No. A z score of −0.29 implies that this RBC is unusually low. No. A z score of 0.29 implies that this RBC is normal.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Continuous Probability Distributions
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Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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 μ = 5.7 and standard deviation σ = 0.7. (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 0.29 implies that this RBC is unusually high. No. A z score of −0.29 implies that this RBC is unusually low. No. A z score of 0.29 implies that this RBC is normal.
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