UNIVERSITY OF MINNESOTA, MORRIS
DIVISION OF SCIENCE & MATHEMATICS
STATISTICS DISCIPLINE
STATISTICAL METHODS
INFORMATION ON THE FIRST MIDTERM EXAMINATION


Date : February 11, 2004 (Wednesday)



Time: 9:15-10:20



Place: SCI. 3610



Examination Type: Closed notes and books. But you will be allowed to use one sheet of paper (information sheet) with the formulas and facts that you need (This sheet should not have solutions of problems or examples)



Coverage: Chapter 1-3 (included)


The important topics that you should know for the exam.

Chp. 1 Statistics
1.1 & 1.2. Definition of statistics & Types of Statistical Applications
descriptive and inferential statistics
1.3. Elements of Statistics
population
variable
sample
statistical inference
reliability of the inference
1.4. Types of Data
Qualitative, Quantitative; nominal, ordinal, interval, ratio data
1.5. Collecting Data

Chp. 2 Descriptive Statistics
2.1. Describing Qualitative Data
2.2. Graphical methods for quantitative data
Stem-and-leaf displays and its interpretation
Histograms and its interpretation
2.3 & 2.4 Measures of Central Tendency
sample mean () and population mean (m)
How to find mean
How to find median (position and depth of the median)
How to find mode (unimodal, bimodal, multimodal).
2.5. Measures of variability
Why do we need a measure of dispersion?
sample range
sample mean absolute deviation
sample variance
sample standard deviation( why do we need sample standard deviation?)
2.6. Interpreting and Understanding standard deviation
Chebyshev's Theorem (for all distributions)
Emprical Rule (for normally distributed data)
(Given mean and standard deviation find the proportion of observations between two values, find the limits given the percentages)
2.7. Measures of relative standing (position)
Percentiles & Quartiles
z-scores (how to find z-scores, use of z-scores, interpretation of z-scores)
2.8. Boxplots
IQR= QU-QL
Construction of the boxplots by using lowest value, lower quartile, median, upper quartile, highest value
Interpretation of single and side-by-side boxplots

Chp. 3 Probability
3.1. Elements of Probability
experiment, simple evevnt, sample space, event
steps for calculating event probabilities
3.2 & 3.4. Compound events
unions and intersections
3.3. Complementary events (How to find the probability of a complement of an event)
3.5. Conditional probability & the Bayes rule
3.6. Probabilties of Unions and intersections
additive rule
multiplicative rule
mutually exclusive events & independent events (showing whether two events are mutually exclusive or independent and given mutually exclusiveness and independents finding compound event probabilities
3.7. Probability and statistics
3.8. Random Sampling


HW.3 Due on Tuesday



3.43, 3.51, 3.58, 3.62, 3.96, 3.110, 3.112, 3.118


Previous Year's Exam

Fall 1996

Fall 1997

Fall 1999

Fall 1999 Solutions