A plant physiologist studying a small beach-dwelling plantcalled the Great Lakes sea rocket, Cakile edentula, wondered ifthe plants grew faster in competition with non-kin plants thanwhen in competition with seedlings that are close relatives.She set up a direct study of kin recognition by growing sets offour seeds in one container. When the seedlings reached aphase of vigorous root growth, about 8 weeks after planting,she carefully removed the soil and weighed the root masses.Plants grouped with siblings had the following root weightstatistics:n = 24 X = 6.25 gs = 0.47 g Plants grouped with unrelatedseedlings had the following root weight statistics:n = 20 X = 7.22 gs = 0.55 g Are the plants grown in competitionwith unrelated individuals allocating sig-nificantly more resources to root growth than those growingamong relatives?

Name: A plant physiologist studying a small beach-dwelling plantcalled the
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Description: A plant physiologist studying a small beach-dwelling plantcalled the Great Lakes sea rocket, Cakile edentula, wondered ifthe plants grew faster in competition with non-kin plants thanwhen in competition with seedlings that are close relatives.She se

Answered: Plants grouped with siblings had the…

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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A plant physiologist studying a small beach-dwelling plant
called the Great Lakes sea rocket, Cakile edentula, wondered if
the plants grew faster in competition with non-kin plants than
when in competition with seedlings that are close relatives.
She set up a direct study of kin recognition by growing sets of
four seeds in one container. When the seedlings reached a
phase of vigorous root growth, about 8 weeks after planting,
she carefully removed the soil and weighed the root masses.
Plants grouped with siblings had the following root weight
statistics:
n = 24 X = 6.25 gs = 0.47 g Plants grouped with unrelated
seedlings had the following root weight statistics:
n = 20 X = 7.22 gs = 0.55 g Are the plants grown in competition
with unrelated individuals allocating sig-
nificantly more resources to root growth than those growing
among relatives?

Expert Solution

Step 1

Let $μ_{1}$ denotes the mean root weight of plant grouped with siblings, and $μ_{2}$ denotes the mean root weight of plant grouped with unrelated seedlings. The claim of the test is that the plants grown in competition with unrelated individuals allocating significantly more resources to root growth than those growing among relatives. The hypothesis is,

Null hypothesis:

$H_{0} : μ_{1} - μ_{2} \geq 0$

Alternative hypothesis:

$H_{1} : μ_{1} - μ_{2} < 0$

The pooled variance is,

$\begin{array}{rcl} s_{p}^{2} & = & \frac{(n_{1} - 1) s_{1}^{2} + (n_{2} - 1) s_{2}^{2}}{n_{1} + n_{2} - 2} \\ = & \frac{(24 - 1) 0 . 47^{2} + (20 - 1) 0 . 55^{2}}{24 + 20 - 2} \\ = & 0.2578 \end{array}$

The pooled variance is 0.2578.

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