The heights of women aged 2020 – 2929 in the United States are approximately Normal with mean 64.264.2 inches and standard deviation 2.82.8 inches. The heights of men aged 2020 – 2929 in the United States are approximately Normal with mean 69.469.4 inches and standard deviation 3.03.0 inches. What is the ?z‑score for a woman 5.55.5 feet tall? (Enter your answer rounded to two decimal places.) ?=z=     What is the ?z‑score for a man 5.55.5 feet tall? (Enter your answer rounded to two decimal places.) ?=z=     What information do the ?z‑scores give that the original non‑standardized heights do not? The ?z‑scores show us that the woman is slightly taller than average, while the man is much shorter than average. The ?z‑scores do not give us any additional information, since we already know that the man and woman have equal heights. The ?z‑scores show us that the woman is slightly shorter than average, while the man is much taller than average. The ?z‑scores show that the woman is slightly different from the average, while the man is very different from the average.

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
Topic Video
Question

The heights of women aged 2020 – 2929 in the United States are approximately Normal with mean 64.264.2 inches and standard deviation 2.82.8 inches. The heights of men aged 2020 – 2929 in the United States are approximately Normal with mean 69.469.4 inches and standard deviation 3.03.0 inches.

What is the ?z‑score for a woman 5.55.5 feet tall? (Enter your answer rounded to two decimal places.)

?=z=
 
 
What is the ?z‑score for a man 5.55.5 feet tall? (Enter your answer rounded to two decimal places.)
?=z=
 
 
What information do the ?z‑scores give that the original non‑standardized heights do not?
The ?z‑scores show us that the woman is slightly taller than average, while the man is much shorter than average.
The ?z‑scores do not give us any additional information, since we already know that the man and woman have equal heights.
The ?z‑scores show us that the woman is slightly shorter than average, while the man is much taller than average.
The ?z‑scores show that the woman is slightly different from the average, while the man is very different from the average.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a 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
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