A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.5 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm ZABA What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places) 49 mm 54 mm What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)

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
A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.8 mm.
(a) Find the z-score for the following data value. (Round your answer to two decimal places.)
48.4 mm.
What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.)
(b) Find the 2-scores for the following data values. (Round your answers to two decimal places.)
49 mm
54 mm 254
What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)
Transcribed Image Text:A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.8 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm. What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places.) 49 mm 54 mm 254 What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
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