Introduction to Statistics.
Complete #11 on page 161-162 using R. Provide graphs as well as numerical analyses. Provide your
syntax as part of the solution.
Here is an example of the minimum acceptable content.
Introduction to Statistics, Chapter V exercises (starting on 217): #1, #8, #11, #16, #17,
(a) What is the probability of rolling a pair of dice and obtaining a total score of 9 or
Assuming the dice are fair, the probability is the number of p
Introduction to Statistics
#3, #4, #5, #8, #10, #13,#17, #29, #30, #31,#32
3. Is it possible for a statistic to be unbiased yet very imprecise?
Yes. High variance but surrounding bullseye (dartboard analogy).
How about being very accurate but biased?
Online Statistics Education Problems
Complete Questions 6, 7, and 11 on pages 61-62.
6. Categorize the following variables as being qualitative or quantitative.
7. Specify the level of measurement.
Rating of the quality of a movie on a 7-point scale. Qual
2. A (hypothetical) experiment is conducted on the effect of alcohol on perceptual
motor ability. Ten subjects are each tested twice, once after having two drinks
and once after having two glasses of water. The two tests were on two different
days to give
1. An experiment is conducted to test the claim that James Bond can taste the
difference between a Martini that is shaken and one that is stirred. What is the
No difference in ability to taste shaken versus taste stirred.
#Some of you are confused about the Central Limit Theorem.
#The Central LImit Theorem applies to SAMPLE MEANS, not means of a distribution.
#In essence, if you take large enough repeated samples of the same size from the same population,
Online Statistics Education. 19, 21, 28.
19. Define interaction in terms of simple effects.
An interaction means that simple effects are different.
a. A x B non-zero, A non-zero; b. A non-zero, B non-zero
ADHD Treatment (AT) case study
When is a log transformation valuable?
The log transformation can be used to make highly skewed distributions less skewed. This can be valuable
both for making patterns in the data more interpretable and for helping to meet the assumptions of
1. What is the equation for a regression line? What does each
term in the line refer to?
Y' is the estimation for the dependent variable.
B'0 is the intercept estimate.
X is the independent variable
B'1 is the slope estimate.
For multiple regr
1. Power is the probability of rejecting a truly FALSE null hypothesis (convicting a guilty man) under
the assumptions of the test. It is a correct decision to reject.
2. Increase n. With a large enough sample size, everything is significant. (in the nume
What are Q-Q Plots useful for?
quantile-quantile or q-q plot is an exploratory graphical
device used to check the validity of a distributional assumption
for a data set. In general, the basic idea is to compute the
theoretically expected val
Complete the following exercises from Introduction to Statistics.
1, 4-9 page 269-270
4. What proportion of a normal distribution is within one standard deviation of the mean? (b) What proportion is
more than 2.0 standard deviations from the mean? (c) Wha
This is a challenging thing to do. It is hard in R, so you may do it in Excel.But you still have to build a matrix to
IN R, get your variables looking like this.
 3.52 2.91 2.40 3.47 3.47 2.37 2.40 2.24 3.02 3.32 3.59 2.
1. To be a scientific theory, the theory must be potentially
2. What is the difference between a faith-based explanation and a
explanation? Faith-based need not be testable.
3. What does it mean for a theory to be parsimonious?