Math 144 Applied Statistics
(Spring, 2010)
by
Dr. Yu, Chi Wai
Instructor: Dr. Yu, Chi Wai
Office: Room 3492
Email: [email protected]
Course webpage:
http:/www.math.ust.hk/~macwyu/
Office hours:
15:00-15:50 (Tue, Wed) OR by appointment
What to do today
About
Statistics
What is Statistics?
It is a science that involves data
summarization, experimental design, data
collection, etc.
Recently, it has been considered to
encompass the science of basing
inferences on observed data and the
entire problem of making
Review: Last lecture
Data: univariate or multivariate
Types of variables:
Categorical : ordinal or nominal
Quantitative: discrete or continuous
Data description by
(i) Graphical methods:
A dot diagram
A stem-and-leaf plot
A frequency table
A histog
Math 144
Hypothesis Testing
Previously, we introduced the point and interval
estimation of an unknown parameter(s), say and 2.
However, in practice, the problem confronting the
scientist or engineer may not be so much the
parameter estimation, but rather
Math 144
Hypothesis Testing
(Review)
Statistical Inference
Point
Estimation
Interval
Statistical
inference
Testing
Hypothesis
Hypothesis testing
We put a conjecture about a scientific system in form of
a hypothesis of the unknown parameter of the populati
Math 144
Hypothesis Testing
(p-value)
p-value
In other words, the p-value
c being the observed value of the test statistics, if H0 is true.
If the p-value is small, then we would say that we have enough evidence against H 0.
How small is small? Need to co
Solutions for Exercise 3
1. With n1 =6 sightseeing tours each available on n2 =3 dierent days, the multiplication rule gives
n1 n2 =(6)(3)=18 ways for a person to arrange a tour.
2. Since the die can land in n1 =6 ways and a letter can be selected in n2 =
MATH144: Applied Statistics (L2, L3) - Fall 10/11
Solutions to Assignment 1:
1. (a) The frequency distribution with the given class intervals is as follows:
Class interval
Class midpoint
Frequency
305-309
310-314
315-319
320-324
325-329
330-334
307
312
31