1. An aquaponics system is a system in which fish and plants are grown together. Shane Ahrens wanted to know if tumbled glass could be used as a media in an aquaponics system. He grew kale in clay and glass (in mesh cups suspended in the water) and measured kale biomass. What is the null hypothesis? What is the alternative hypothesis? Calculate the sample mean and variance for each treatment and then calculate the t statistic and degrees of freedom. Kale Biomass (mg) Clay Glass 17.5 37.1 13.9 31.1 31.2 28.7 29.9 37.5 22.5 28.1 Mean Variance |X₁ - X₂1 (n₁ − 1)s²₁ + (n₂ − 1)²₂ B+nz – 2 X n₂ t= d.f. = If you conduct this analysis in R, the output tells you the p-value = 0.042. What conclusion can you make (i.e., accept or reject the null hypothesis)? Explain how you reached this conclusion. Write a sentence as you would for the results section of a paper. t=

Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
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Chapter1: Biochemistry: An Evolving Science
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1. An aquaponics system is a system in which fish and plants are grown together. Shane Ahrens
wanted to know if tumbled glass could be used as a media in an aquaponics system. He grew
kale in clay and glass (in mesh cups suspended in the water) and measured kale biomass.
What is the null hypothesis?
What is the alternative hypothesis?
Calculate the sample mean and variance for each treatment and then calculate the t statistic and
degrees of freedom.
Kale Biomass (mg)
Clay
Glass
17.5
37.1
13.9
31.1
31.2
28.7
29.9
37.5
22.5
28.1
Mean
Variance
(n, – 1)s², + (n2 – 1)s²2 ×
n + n2 -2
+
n2
d.f. =
If you conduct this analysis in R, the output tells you the p-value = 0.042. What conclusion can
you make (i.e., accept or reject the null hypothesis)? Explain how you reached this conclusion.
Write a sentence as you would for the results section of a paper.
Transcribed Image Text:1. An aquaponics system is a system in which fish and plants are grown together. Shane Ahrens wanted to know if tumbled glass could be used as a media in an aquaponics system. He grew kale in clay and glass (in mesh cups suspended in the water) and measured kale biomass. What is the null hypothesis? What is the alternative hypothesis? Calculate the sample mean and variance for each treatment and then calculate the t statistic and degrees of freedom. Kale Biomass (mg) Clay Glass 17.5 37.1 13.9 31.1 31.2 28.7 29.9 37.5 22.5 28.1 Mean Variance (n, – 1)s², + (n2 – 1)s²2 × n + n2 -2 + n2 d.f. = If you conduct this analysis in R, the output tells you the p-value = 0.042. What conclusion can you make (i.e., accept or reject the null hypothesis)? Explain how you reached this conclusion. Write a sentence as you would for the results section of a paper.
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