Midterm Exam - Biometry - October 2006 Dr. Luke Harmon
Name: _KEY_
Student Number: _
TAs Name: _
For all statistical tests, make sure that you clearly state your hypotheses. Unless otherwise
stated, assume = 0.05. Show your work in the space provided, inc
1
1. Briefly answer the following:
a. When a data set is not normally distributed, what should you try in order to
appropriately make statistical tests on that data?
transformations
b. Why are paired samples analyzed differently than separate samples?
The
Suggested problem set #4
Chapter 7: 4, 9, 10, 11, 17, 20
Chapter 7.
4. For the following scenarios, say whether the binomial distribution would describe the probability
distribution of possible outcomes. If not, say why not.
a. The number of red cards out
MID-TERM BIOL 300: February 2005
For all statistical tests, make sure that you clearly state your hypotheses. Unless
otherwise stated, assume = 0.05. Show your work. Be as precise as possible
about p-values.
Some questions have a box for the final answer.
Solutions to practice problems.
chpt 1.
3. a. discrete
b. continuous
c. discrete
d. continuous
14. a) All of the small mammals in Kruger National Park
b) No. In random samples, each member of the population has an equal and
independent chance of being sel
What test? Solutions
1. Binomial test
2. Two-sample t-test if normal and equal variance; Mann-Whitney U test if not
3. T-test for zero correlation
4. Non-linear regression for example, quadratic regression.
5. Two-way ANOVA
6. ANOVA
7. Shapiro-Wilk test
8
Practice problems solutions to set 2
Chapter 4.
17. a. Men: se =
Women: se =
!
s
=
n
6.7
= 0.099
4620
s
4.6
=
= 0.058
n
6228
b. The standard deviation describes the variation in the original data, and thus best describes the
variation among men in sexual
C hapter 10
0.66
(2.57) = 14.0 0.69
5. Y SE Y t 0.05( 2),5 = 14
6
11. H0: Mean score is 50%; HA: Mean score is not 50%.
68.4 - 50
t=
= 6.86 ; critical value is t 0.05( 2 ),6 = 2.45 , so we can reject the null hypothesis. The rats
7 .1 7
perform the task
Question 2.
a.
There appears to be a positive linear relationship between these two variables.
b. First, calculate b.
The quantities you need are:
X = 0.68;Y = 23.35
#( X
#( X
i
" X ) 2 = 17.85;# (Yi " Y ) 2 = 4212.55
i
" X )(Yi " Y ) = 183.24
So,
!
b=
#
Please do not mark on the formula sheets or tables.
Formulae for Basic Statistics
n
Y
Pooled variance
2
df s2 + df 2 s2
2
sp = 1 1
df1 + df 2
i
Y=
i =1
n
(Yi Y ) 2
s=
n 1
()
2
s=
Yi nY 2
n 1
F=
Standard error of the mean
s/ n
t=
2
test of goodness-of-fi
Suggested problem set #3
Chapter 4, Problem 23
Chapter 5, Problems 3, 14, 17, and 20
Chapter 6, Problems 5, 6, 8, and 9
Chapter 4
23) In a poll of 1,641 peo ple carried out in Canada in November 2005, 73 percent of peo ple
surveyed agreed with the s tatem
Chapter 16: 8, 9, and 10
8. a. Use Spearmans rank correlation test.
Ho: There is no linear association between the ranks of the two
variables.
Ha: There is a linear association between the ranks of the two
variables.
Test statistic: rs = 0.57
Critical val
Name:
TAs name:
Student number:
MID-TERM BIOL 300: October 2009
For all statistical tests, make sure that you clearly state your
hypotheses. Unless otherwise stated, assume = 0.05. Show your
work. Be as precise as possible about P-values.
Some questions h
MID-TERM BIOL 300: October 2008
For all statistical tests, make sure that you clearly state your
hypotheses. Unless otherwise stated, assume = 0.05. Show your
work. Be as precise as possible about P-values.
Some questions have a box for the final answer.
Name:
KEY
TAs name:
(Alathea, Becca, Kate, Kim, Kira)
Student number:
MID-TERM BIOL 300: October 2013
For all statistical tests, make sure that you clearly state your
hypotheses. Unless otherwise stated, assume = 0.05. Show your
work. Be as precise as pos
Midterm Biology 300: March 2011
Instructor: Greg Bole
FAMILY/LAST Name: _ FIRST Name: _
Student number: _
Instructions:
1. Make sure that your copy of the test includes 5 pages, including this one.
2. Answers should be in ink. If you choose to write some
Please do not mark on the formula sheets or tables.
Formulae for Basic Statistics
n
Y
Pooled variance
2
df s2 + df 2 s2
2
sp = 1 1
df1 + df 2
i
Y =
i =1
n
(Yi Y ) 2
s=
n 1
( )
2
s=
Yi nY 2
n 1
F=
Standard error of the mean
s/ n
t=
2
test of goodness-of-
Name:_
Student number:_
MID-TERM BIOL 300: February 2012
Instructions:
1. Make sure that your copy of the test includes 6 pages, including this one.
2. Answers can be in ink or pencil. If you want the possibility of re-marking, use ink.
4. Other than a no
Study Problems BIO300
1. Researchers have asked several smokers how many cigarettes they had smoked in the previous day. Here
are the data.
Women
Men
4
2
7
2
20
5
20
6
8
16
The distribution that these data are drawn from is not normal. Is there a differen
Study Problems BIO300
1. Researchers have asked several smokers how many cigarettes they had smoked in the previous day. Here are the
data.
Women
Men
4
2
7
2
20
5
20
6
8
16
The distribution that these data are drawn from is not normal. Is there a differen
Name:
TAs name:
Student number:
MID-TERM BIOL 300: February 2005
For all statistical tests, make sure that you clearly state your
hypotheses. Unless otherwise stated, assume = 0.05. Show your
work. Be as precise as possible about p-values.
Some questions
BIOL 300 Assignment 9 Chapter 17
14. (a) The number of added nutrients should be the explanatory variable (X), as this was
controlled by the experimenters. The response variable of interest (Y) is the number of
plant species supported.
(b) b = 3.34 (3.34
1
1. Briefly answer the following: a. When a data set is not normally distributed, what should you try in order to appropriately make statistical tests on that data? b. Why are paired samples analyzed differently than separate samples? c. What are the non
Biol 300 Assignment 7
Chapter 14 Q22.
(a) No control group.
(b) The control was not simultaneoustime is a confounding variable.
(c) Treatments were not assigned randomly to patients. Sex is a confounding variable.
(d) This study failed to include bli
BIOL 300 Fall 2013 Assignment 5
Chapter 8
11. (a) The number of flowers in a square meter plot should be Poisson distributed.
(b) Number of heads out of 10 flips of a coin should be binomially distributed.
(c) Bombs per city block should be Poisson distri
1. In the World Series, the teams have won at home 286 times and lost at home 243
times. Is there a "home-field advantage"?
2. Are the numbers of parasites per host different in multiply-infected vs. singly-infected
hosts? (Answer if number of parasites p
Assignment 8, Biol 300 Fall 2013
16. (a) r = 0.86.
(b)
(c) The relationship is non-linear.
(d) A transformation of one or both variables (e.g., the log transformation) to make the
relationship linear is the first step. If transformations fail to re