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 Use the t test to determine if there is a significant difference in the Cadmium concentration in snail soft tissue between the two lakes. 1. State your null hypothesis (Ho) 2. Calculaten (sample size for each lake) 3. Calculate x (mean) for each lake 4. Calculate the Variance (s²) for each lake 5. Plug your values into the t test equation and find “calculated t" 6. Determine the df (degrees of freedom) 7. Look up “critical t" with a p value of 0.05 8. Accept of Reject the null hypothesis 9. Conclude if there is a statistical difference or not between the soft tissue levels of Cd in snails from these two lakes.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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
Use the t test to determine if there is a significant difference in the Cadmium
concentration in snail soft tissue between the two lakes.
1. State your null hypothesis (Ho)
2. Calculaten (sample size for each lake)
3. Calculatex(mean) for each lake
4. Calculate the Variance (s²) for each lake
5. Plug your values into the t test equation and find "calculated t"
6. Determine the df (degrees of freedom)
7. Look up “critical t" with a p value of 0.05
8. Accept of Reject the null hypothesis
9. Conclude if there is a statistical difference or not between the soft tissue levels
of Cd in snails from these two lakes.
Transcribed Image Text: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 Use the t test to determine if there is a significant difference in the Cadmium concentration in snail soft tissue between the two lakes. 1. State your null hypothesis (Ho) 2. Calculaten (sample size for each lake) 3. Calculatex(mean) for each lake 4. Calculate the Variance (s²) for each lake 5. Plug your values into the t test equation and find "calculated t" 6. Determine the df (degrees of freedom) 7. Look up “critical t" with a p value of 0.05 8. Accept of Reject the null hypothesis 9. Conclude if there is a statistical difference or not between the soft tissue levels of Cd in snails from these two lakes.
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