Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 6.74 mm and a standard deviation of 0.67 mm. Let x denote thumb length for a female specimen.   a. Find the standardized version of x. b. Determine and interpret the​ z-scores for thumb lengths of 8.1 mm and 5.8 mm. Round your answers 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
Question
Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of
6.74
mm and a standard deviation of
0.67
mm. Let x denote thumb length for a female specimen.
 
a. Find the standardized version of x.
b. Determine and interpret the​ z-scores for thumb lengths of
8.1
mm and
5.8
mm. Round your answers to two decimal places.
 
a. Find the standardized version of x.
 
z=enter your response here
​(Do not simplify. Use integers or decimals for any numbers in the expression. Do not​ round.)
Part 2
b. Determine and interpret the​ z-scores for thumb lengths of
8.1
mm and
5.8
mm. Round your answers to two decimal places.
 
Determine and interpret the​ z-score for a thumb length of
8.1
mm.
 
The​ z-score for a thumb length of
8.1
is
enter your response here.
This is
enter your response here
standard deviations
 
above
below
the mean thumb length.
​(Round to two decimal places as​ needed.)
Part 3
Determine and interpret the​ z-score for a thumb length of
5.8
mm.
 
The​ z-score for a thumb length of
5.8
is
enter your response here.
This is
enter your response here
standard deviations
 
above
below
the mean thumb length.
​(Round to two decimal places as​ needed.)
Expert Solution
Step 1: Determine the given information

The mean is 6.74 and the standard deviation is 0.67.

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
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