1. By: Colin McPoyle Matt Dachowski Kyle McLaughlin

2. Background of Carp Freshwater fish Originated in Eurasia and Southeast Asia Cyprinus Carpio Carp are sought out by anglers for sport and food Carp are also considered a pest fish because they are invasive and kill off native fish by eating eggs and destroying aquatic life As a result many states are making efforts to eliminate carp from their waterways to allow native species to flourish We help to reduce carp numbers by bow fishing for them and killing them

3. Our Process We bow fished for carp in several different sections of the Neshaminy creek for about one month to ensure more random statistics Upon shooting a fish, we weighed it with a hand held scale instantly and also measured it with a tape measure from mouth to the end of the tail We used the same scale for every fish to ensure our results would be consistent

4. ObservedObserved Length (inches)Weight (lbs)Expected Weight 27.51210.052 27.51310.052 2063.867 2486.6682 26.510.58.995 2476.682 2587.552 26.598.995 26.5128.995 26.5128.995 312214.399 2611.58.495 2587.552 301313.05 311814.339 25147.552 26118.495 28.51511.189 2043.867 23.556.273 26.511.58.995 26.59.58.995 2466.6682 2587.552 2255.147 281410.61 3115.514.399 25.59.58.014 2144.476 23.55.56.273 25.57.58.014 2917.511.788 VS ExpectedExpected

5. Observed Vs. Expected Graph Length Weight

6. Length and Weight Statistics Length- = 25.859 Sx=2.883 minX=20 Q1=24 Med=26 Q3=27.5 maxX=31 Range- 11 Weight- = 10.3875 Sx=4.36 minX=4 Q1=7.25 Med=10 Q3=13 maxX=22 Range=12

7. Mean Difference Test Ho: Ha: Assumptions SRS Assumed Normal population difference or n d ≥ 30 n d = 32 ≥ 30

8. Test Statistic- P-Value- Conclusion: We reject Ho in favor of Ha because P-value of 3.754x10x- 5 < α=.05. We have sufficient evidence that the mean difference of observed and expected weights of carp is greater than zero. We have found that the carp in the Neshaminy Creek are heavier than the expected values.

9. Confidence Interval Interpretation: We are 95% confident that the mean difference of expected and observed weight of carp is between.95906 and 2.51.

10. Linear Regulation T-Test Ho: β= 0 Ha: β> 0 Assumptions: 1. True relationship is linear. 2. Two independent SRS. Check: 1. 2. Assumed

11. Line: =a+bx A = (-24.66) B = 1.355 y=-24.66+1.355 x r 2 =0.8 r= 0.8944 Linear Regression T-Test at α=.05 T= = 11.0720 P(t>11.59826/df=30) = 2.0275x10 -12 *We reject Ho in favor of Ha because p-value 2.0275x10 -12 is less than α = 0.05. We have sufficient evidence that the population regression line is greater than zero. Thus as the carps length increases, it’s weight also increases.

12. Scatter Plot (LSR Line) Association: Positive Form: Linear Strength: Moderately-Strong

13. Bias/Error Several factors played a key role in the results obtained in our study. Sometimes after the fish was shot the arrow would drag out organs which would take off on the carps original weight. Targeting smaller fish is more difficult so we had a smaller range of lengths and weights. We were not able to obtain the measurements of every fish we saw. (missed shots) Some of the fish taken in the sample were pregnant.

14. What we discovered Our first objective in this study was to see if the carp in the Neshaminy creek were larger than their expected values produced by a fish calculator. After we tested the mean difference we concluded that yes their weight is heavier than their expected values. Next we looked for a relationship between carp length and weight. How does the carps weight increase with it’s length? We made a scatter plot of the data and calculated it’s LSR line then tested if the slope of the line was positive. The test concluded that yes on average for every inch increase in length the carp gaines 1.355 lbs.