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- 5.3 and standard deviation o = 0.7. The Standard Normal Distribution u = 0, o = 1) 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.) (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
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 u - 5.3 and standard deviation a - 0.7.
The Standard Normal Distribution
u = 0, o = 1)
-1
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.)
(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.)
(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.
O Yes. Az score of 0.86 implies that this RBC is unusually high.
O No. Az score of -0.86 implies that this RBC is unusually low.
O No. Az score of 0.86 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 - 5.3 and standard deviation a - 0.7. The Standard Normal Distribution u = 0, o = 1) -1 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.) (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.) (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. O Yes. Az score of 0.86 implies that this RBC is unusually high. O No. Az score of -0.86 implies that this RBC is unusually low. O No. Az score of 0.86 implies that this RBC is normal.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman