1. Calculate the Variance for each lake 2. Plug values into the t-test equation and find 'calculated t'3. Determine the df and look up 'critical t' with a p-value of 0.05 The following data were taken from a research article in the Canadian Journal ofFisheries and Aquatic Sciences, Vol. 57, page 126-127 (2000). The study examined theconcentration of various heavy metals in the soft tissues of 2 species of snails in twodifferent lakes along the St. Lawrence River.Cadmium (Cd) levels (microgram/gram dry weight) in soft tissues of Physagyrina collected in Lake St. Pierre (LSP) and in Lake St. Louis (LSL) in 1990 and 1991respectively.LSLLSP7.461.020.641.150.403.740.770.71-----2.24-----0.770.960.370.750.451.331.911.000.85

Name: 1. Calculate the Variance for each lake 2. Plug values into the t-test
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Description: 1. Calculate the Variance for each lake 2. Plug values into the t-test equation and find 'calculated t'3. Determine the df and look up 'critical t' with a p-value of 0.05 The following data were taken from a research article in the Canadian Journal o

LSL LSP (x-xbar)^2 (y-ybar)^2 7.46 1.02 29.87716 0.039006 1.15 0.64 0.712336 0.033306 3.74 0.4…

Answered: 1. Calculate the Variance for each lake…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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1. Calculate the Variance for each lake

2. Plug values into the t-test equation and find 'calculated t'

3. Determine the df and look up 'critical t' with a p-value of 0.05

The following data were taken from a research article in the Canadian Journal of
Fisheries and Aquatic Sciences, Vol. 57, page 126-127 (2000). The study examined the
concentration of various heavy metals in the soft tissues of 2 species of snails in two
different lakes along the St. Lawrence River.
Cadmium (Cd) levels (microgram/gram dry weight) in soft tissues of Physa
gyrina collected in Lake St. Pierre (LSP) and in Lake St. Louis (LSL) in 1990 and 1991
respectively.
LSL
LSP
7.46
1.02
0.64
1.15
0.40
3.74
0.77
0.71
-----
2.24
-----
0.77
0.96
0.37
0.75
0.45
1.33
1.91
1.00
0.85

Expert Solution

Working

LSL	LSP	(x-xbar)^2	(y-ybar)^2
7.46	1.02	29.87716	0.039006
1.15	0.64	0.712336	0.033306
3.74	0.4	3.048516	0.178506
2.24	0.77	0.060516	0.002756
0.77	0.71	1.498176	0.012656
0.37	0.96	2.637376	0.018906
0.45	0.75	2.383936	0.005256
1.91	1.33	0.007056	0.257556
1		0.988036
0.85		1.308736

The mean is given by

$\overline{x} = \frac{1}{n}\sum x$

LSL
$\overline{x} =1.994$
LSP
$\overline{y} =0.8225$

The standard deviation is given by
$\sigma =\sqrt{\frac{1}{n-1}\sum (x - \overline{x})^2}$

LSL
$s_{1}=2.1736$
LSP
$s_{1}=0.2798$

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