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Mean Length of Male and Female Atlantic Sharp-Nose Sharks Mean length(in centimeters) of Sharks 1000 980 960 940 920 Male (Gender) Female Number of Sea Turtles Surviving Number of Sea Turtles Surviving Their Race to the Sea 140 120 100 80 60 40 20 0 Blue Yellow Green Red Orange Color or Type of Turtles Probability is a way to measure the chances that something will occur in relation to the possible alternatives. The observed probability of my planula survival was 1/9.Since the predicted probability was 2/9, my coral planula did worse than predicted and out of 18 trials, it’d survived only 2 times. The 2nd time we’d done the experiment, my coral planula, once again, had an observed probability of planula survival of 2/9. Distribution of 25 Sea Cigars Frequency 20 15 10 5 0 Size(in centimeters) Percent Composition by Mass of the Flotsam Turtle Grass Manatee Grass Shoal Grass Red Mangrove Leaf Black Mangrove Leaf Detritivores Two values that are used in statistics to describe how far away your data are from the mean are Variance and Standard Deviation. The mean of this particular data set was 10.2 centimeters. The variance of this data set was 10.8. The standard deviation away from my mean is (10.8) is 3.3. Two standard deviations away from our mean is 6.6. Below are the lengths(in Centimeters) for different Sea cigars. 6.7 7.3 7.5 7.5 9.4 9.8 11.2 12.5 13.1 17 A Theoretical Distribution Curve (TDC) is used in statistics, because it serves as a standard with which actual distributions can be compared. The normal distribution curve is a theoretical or ideal picture of a distribution based upon a random sampling. Theoretical Distribution of 25 Sea Cigars 4.5 4 Frequency 3.5 3 2.5 Theoretical Distribution 2 1.5 Actual Data 1 0.5 0 1 3 5 7 9 11 13 15 17 19 21 23 Length of Sea Cigar(in cm) The Chi-Square Test can be used to see if there are any significant differences between data sites or sources. The formula for Chi-Square is: Σ(observed-predicted)2 _______________________ Predicted The T-test equation is an equation used to calculate the t-statistic, which is designed to test whether there is a significant difference between the means of two independent samples, those of your (1) treatment and (2) control groups. Question: Should the Fearless Fishers have rejected the null hypothesis? Yes, the fearless fishers should have rejected the null hypothesis because their T-Statistic value as calculated to be 3.175,which is GREATER than the critical value of 2.145 from the T-Statistic table at 14 degrees of freedom and at the PValue of 0.05.