A physiologist wants to know if a hormone affects root growth. She gathers five "source" plants and takes two cuttings from each plant. For each source plant, she grows one cutting in the presence of a hormone, and she grows the other cutting without the hormone. She measures the length of a root on each of the ten resulting plants after 5 weeks of growth. She reports the following measurements (which are normally-distributed) and summary statistics: Root length (mm) With hormone Source difference Plant's ID No hormone in columns AXE918 21.0 12.2 8.8 АВС174 15.6 14.9 0.7 ADY810 21.9 16.7 5.2 AAE901 23.5 21.1 2.4 ACC125 21.5 23.2 -1.7 d = 3.1 1 = 20.7 si = 9.01 2 = 17.6 %3D s3 = 20.22 si = 16.55 = 14.61 %3D S1 = 3.00 S2 = 4.50 Sd = 4.07 (a) Calculate the standard error of the difference in mean root lengths between the hormone and no hormone treatments. (b) What is critical value for the test statistic you would use to the null hypothesis that there was no difference in mean root length. Make sure that we can tell from your answer which statistical table and (if necessary) how many degrees of freedom you used.
A physiologist wants to know if a hormone affects root growth. She gathers five "source" plants and takes two cuttings from each plant. For each source plant, she grows one cutting in the presence of a hormone, and she grows the other cutting without the hormone. She measures the length of a root on each of the ten resulting plants after 5 weeks of growth. She reports the following measurements (which are normally-distributed) and summary statistics: Root length (mm) With hormone Source difference Plant's ID No hormone in columns AXE918 21.0 12.2 8.8 АВС174 15.6 14.9 0.7 ADY810 21.9 16.7 5.2 AAE901 23.5 21.1 2.4 ACC125 21.5 23.2 -1.7 d = 3.1 1 = 20.7 si = 9.01 2 = 17.6 %3D s3 = 20.22 si = 16.55 = 14.61 %3D S1 = 3.00 S2 = 4.50 Sd = 4.07 (a) Calculate the standard error of the difference in mean root lengths between the hormone and no hormone treatments. (b) What is critical value for the test statistic you would use to the null hypothesis that there was no difference in mean root length. Make sure that we can tell from your answer which statistical table and (if necessary) how many degrees of freedom you used.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
homework 7
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman