Statistics and Computers

Download Report

Transcript Statistics and Computers

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.