Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 3.1, Problem 3.18E

(a)

To determine

To calculate the mean and standard deviation using the given z scores for 15 years.

(a)

Expert Solution
Check Mark

Answer to Problem 3.18E

Mean = 162.5

Standard deviation = 6.5

Explanation of Solution

Given:

  For 15 year old MalesZ score = 0 at 170 cms.Z score = 1 at 177.5 cms.

  For 16 year old femalesZ score = 0 at 162.5 cms.Z score = 1 at 169 cms.

The value of 16 years old female height is 162.5 and the value at z score equal 0 is always equal to mean when the data follows normal distribution.

The standard deviation:

The value of height at z = 1 is 169

  zscore at z = 1 is 169,x¯+1σ=169162.5+σ=169σ=169162.5σ=6.5

(b)

To determine

To calculate the value of height of female with age 16 years at z = -1.5.

(b)

Expert Solution
Check Mark

Answer to Problem 3.18E

Value of height at z = 152.75

Explanation of Solution

Calculation:

The value of height at z = -1.5:

  x¯1.5σ=162.51.5×6.5=152.75

Knowledge Booster
Background pattern image
Statistics
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.
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY