Scenario 4 - Effect of Chemical Pollution on Tadpole Growth Experiment Mr. Hasty's twelfth grade class is studying the effect nutrient run-off on stream fish development. His class set up two artificial ponds, one along a natural stream in the forest next to the school and the other in a storm water pond below the football field. Water quality testing of these two water sources indicates a higher level of nitrogen (fertilizer) in the storm water pond (treatment) than in the adjacent natural stream (control). Both artificial ponds were plumbed with PVC drain pipes to receive surface water when it rains either from the natural stream or from the storm water pond. After a large spring rain that filled up both artificial ponds, 100 minnow eggs were collected from the natural stream and were divided evenly (50 eggs each) into the control and treatment artificial ponds. After two weeks both artificial ponds were drained and the size of each remaining minnow (snout-vent length) was measured to the nearest 0.1 mm. The students hypothesized that water that filled the treatment pond would have higher levels of nitrogen pollution from the football field due to the high level of fertilizer used and thus, would inhibit the growth of minnows when compared to those in control pond with natural stream water (H). The independent variable is pond treatment and is categorical with two levels (fertilized field vs. natural forest). The dependent variable is minnow size in mm and is continuous. The observations are unpaired and independent of one another. However, due to differences in the sample sizes between treatments, we must assume unequal variances in our comparison of means. Class Data for the Effect of Nitrogen Run-off on the Minnow Growth Experiment Forest Minnows Size (mm) Fertilized Field Minnow Size (mm) 15.2 16.3 14.2 14.2 16.9 13.2 12.6 10.2 13.6 9.8 9.4 13.9 11.9 10.5 10.6 13.4 17.3 14.2 16.8 15.4 14.2 16.3 12.0 10.9 Forest Minnows Size (mm) Fertilized Field Minnow Size (mm) 15.2 16.3 14.2 14.2 16.9 13.2 12.6 10.2 13.6 9.8 9.4 13.9 11.9 10.5 10.6 13.4 17.3 14.2 16.8 15.4 14.2 16.3 12.0 10.9 13.3 7.5 10.3 11.4 14.6 15.2 12.9 11.1 10.6 12.8 16.0 10.5

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Scenario 4 – Multiple Choice Questions – Effect of Chemical Pollution on Tadpole Growth 4a. Which of the following statistical tests is most appropriate for this experiment? a. Chi-squared test b. Paired t-test c. Student t-test d. Linear regression e. ANOVA 4b. What is the median size of the forest (control) minnows? a. 13.65 b. 9.467 c. 10 d. 9.4 e. 12.85 4c. What is the probability (P(T<=t)) that your statistical result is due to chance? a. 0.0459 b. 0.7881 c. 0.0731 d. 0.8684 4d. What should Mr. Hasty’s students conclude regarding their experiment? a. They failed to reject the null hypothesis (H0). b. They rejected the null hypothesis (H0). c. They failed to reject the alternate hypothesis (H1). d. They rejected the alternate hypothesis (H1). e. No conclusion could be reached. 4e. One bright student claims that the experiment was significant and that the minnows in the field (treatment) pond were negatively impacted over those in the forest (control) pond. Which of the findings below statistically supports this student’s claim? a. Forest minnows were 0.24 mm smaller than field minnows on average. b. Forest minnows had a larger maximum size (17.3) than field minnows (16.3). c. Forest minnows had a larger size range (9.8) than field minnows (6.5). d. Forest minnows had a higher survival ratio (24 out of 50) than field minnows (12 out of 50).
Scenario 4 - Effect of Chemical Pollution on Tadpole Growth
Experiment
Mr. Hasty's twelfth grade class is studying the effect nutrient
run-off on stream fish development. His class set up two
artificial ponds, one along a natural stream in the forest next to
the school and the other in a storm water pond below the
football field. Water quality testing of these two water sources
indicates a higher level of nitrogen (fertilizer) in the storm water
pond (treatment) than in the adjacent natural stream (control).
Both artificial ponds were plumbed with PVC drain pipes to
receive surface water when it rains either from the natural
stream or from the storm water pond. After a large spring rain
that filled up both artificial ponds, 100 minnow eggs were
collected from the natural stream and were divided evenly (50
eggs each) into the control and treatment artificial ponds. After
two weeks both artificial ponds were drained and the size of
each remaining minnow (snout-vent length) was measured to the
nearest 0.1 mm. The students hypothesized that water that filled
the treatment pond would have higher levels of nitrogen
pollution from the football field due to the high level of fertilizer
used and thus, would inhibit the growth of minnows when
compared to those in control pond with natural stream water
(H). The independent variable is pond treatment and is
categorical with two levels (fertilized field vs. natural forest).
The dependent variable is minnow size in mm and is continuous.
The observations are unpaired and independent of one another.
However, due to differences in the sample sizes between
treatments, we must assume unequal variances in our
comparison of means.
Class Data for the Effect of Nitrogen Run-off on the Minnow
Growth Experiment
Forest Minnows Size (mm) Fertilized Field Minnow Size (mm)
15.2
16.3
14.2
14.2
16.9
13.2
12.6
10.2
13.6
9.8
9.4
13.9
11.9
10.5
10.6
13.4
17.3
14.2
16.8
15.4
14.2
16.3
12.0
10.9
Transcribed Image Text:Scenario 4 - Effect of Chemical Pollution on Tadpole Growth Experiment Mr. Hasty's twelfth grade class is studying the effect nutrient run-off on stream fish development. His class set up two artificial ponds, one along a natural stream in the forest next to the school and the other in a storm water pond below the football field. Water quality testing of these two water sources indicates a higher level of nitrogen (fertilizer) in the storm water pond (treatment) than in the adjacent natural stream (control). Both artificial ponds were plumbed with PVC drain pipes to receive surface water when it rains either from the natural stream or from the storm water pond. After a large spring rain that filled up both artificial ponds, 100 minnow eggs were collected from the natural stream and were divided evenly (50 eggs each) into the control and treatment artificial ponds. After two weeks both artificial ponds were drained and the size of each remaining minnow (snout-vent length) was measured to the nearest 0.1 mm. The students hypothesized that water that filled the treatment pond would have higher levels of nitrogen pollution from the football field due to the high level of fertilizer used and thus, would inhibit the growth of minnows when compared to those in control pond with natural stream water (H). The independent variable is pond treatment and is categorical with two levels (fertilized field vs. natural forest). The dependent variable is minnow size in mm and is continuous. The observations are unpaired and independent of one another. However, due to differences in the sample sizes between treatments, we must assume unequal variances in our comparison of means. Class Data for the Effect of Nitrogen Run-off on the Minnow Growth Experiment Forest Minnows Size (mm) Fertilized Field Minnow Size (mm) 15.2 16.3 14.2 14.2 16.9 13.2 12.6 10.2 13.6 9.8 9.4 13.9 11.9 10.5 10.6 13.4 17.3 14.2 16.8 15.4 14.2 16.3 12.0 10.9
Forest Minnows Size (mm) Fertilized Field Minnow Size (mm)
15.2
16.3
14.2
14.2
16.9
13.2
12.6
10.2
13.6
9.8
9.4
13.9
11.9
10.5
10.6
13.4
17.3
14.2
16.8
15.4
14.2
16.3
12.0
10.9
13.3
7.5
10.3
11.4
14.6
15.2
12.9
11.1
10.6
12.8
16.0
10.5
Transcribed Image Text:Forest Minnows Size (mm) Fertilized Field Minnow Size (mm) 15.2 16.3 14.2 14.2 16.9 13.2 12.6 10.2 13.6 9.8 9.4 13.9 11.9 10.5 10.6 13.4 17.3 14.2 16.8 15.4 14.2 16.3 12.0 10.9 13.3 7.5 10.3 11.4 14.6 15.2 12.9 11.1 10.6 12.8 16.0 10.5
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