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
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homework 7
Transcribed Image Text: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:
difference
Source
Root length (mm)
Plant's ID
With hormone
No hormone
in columns
AXE918
21.0
12.2
8.8
ABC174
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
Y1 = 20.7
s우%3D 9.01
T2 = 17.6
s을3 20.22
d = 3.1
= 16.55 s= 14.61
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.
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