Lucy wants to start her own psychiatric practice, but her expenditures exceed her income. Lucy is
a
(a)
saver who demands money from the financial system.
(b)
saver who supplies money to the financial system.
(c)
borrower who demands money from the financ
Page 1 of 3
Statistics
Dr Therianos
TI-83: Chi-Square Goodness-of-Fit Test
Turn on the TI-83.
1. Press STAT, 1:EDIT. You will see the lists L1 , L2 , L3 etc.
We must clear these lists.
Move the cursor to the heading L1 and press CLEAR then ENTER.
Repeat t
Page 1 of 3
Statistics
DR. T
ANOVA with Technology:
Chest Deceleration Measurements (in gs) from Car Crash Tests.
The claim: The samples of cars have the same mean chest deceleration measurements.
Use significance level = 0.05.
Small
Medium Cars Large Car
Page 1 of 4
Statistics
Dr. S. Therianos
The Chi-Square test of Independence
Contingency Tables:
A contingency table is a two-dimensional frequency table.
Nominal data can be classified into categories, such as male or female; red, blue or black
etc. Such
Page 1 of 6
Stat 230
Dr T
ANOVA-one-way*
To test a hypothesis concerning the means of three or more populations we use a technique
known as analysis of variance, or ANOVA.
For two populations we can use the t-test, but for three or more populations the t-
Page 1 of 4
Statistics
Dr S. Therianos
Goodness of-Fit-test Chi-Square - ( 2 )
The Chi-Square Goodness-of-Fit test is used to see whether a frequency distribution fits
a specific pattern.
For example, in order to meet customer demands, a manufacturer of r
Page 1 of 4
Inferences about Two Population Proportions:
If a sample has size n and x elements in the sample have a desired property, then the sample
proportion is p =
x
.
n
If the sample proportion p is given then x = np
We consider two populations and w
Page 1 of 2
Statistics
Dr Therianos
TI-83: Chi-Square Test for Independence
Turn on the TI-83.
1. Press MATRIX and move the cursor to Edit, then press ENTER.
2. Enter the number of rows and columns. Then press ENTER.
3. Enter the values in the matrix as t
Page 1 of 4
Statistics
Dr. S. Therianos
The Sampling Distribution of the Proportion p
Definitions:
A proportion represents a part of a whole and it is basically a percent.
If 23% of the population has brown eyes, then the proportion that has brown eyes is
Page 1 of 8
Statistics
Dr T
Inferences about two Population Means: Independent Samples
The following apply to two independent simple random samples drawn from two populations.
Notation:
Mean
Standard deviation
Population 1
1
1
Sample 1
Population 2
2
2
Sa
Page 1 of 6
Statistics
Dr.S.Therianos
TheSamplingDistributionofthemean x
SamplingDistributions
Theconceptofasamplingdistributionofastatisticisprobablythemostimportantconceptin
statisticalinference.Therearemanysamplingdistributionsdependingonwhichsample
st
Page 1 of 2
Statistics
Dr Therianos
The p-value for the Chi-Square Distribution:
To obtain the p-value for the Chi-Square Distribution one must use either a Statistics program or
a TI calculator.
TI-83: p-value.
1. Turn the calculator ON
2. Press [2nd] [D
Page 1 of 4
Statistics
Dr Therianos
TI-83: Correlation and Regression
We use the following data to illustrate all the following procedures:
x
y
65
15
68
22
73
20
76
24
80
27
84
27
88
32
92
38
95
42
98
40
A. Entering the data:
This calculator keeps the val
Page 1 of 3
Stat 230
Dr T
One-way ANOVA Test with the TI-83
1. Press STAT EDIT. The lists L1, L2, L3 will be displayed.
Clear all the lists: Move the cursor to the label L1 and press CLEAR then ENTER.
This will clear L1. Continue until all the lists are c
Page 1 of 8
Statistics
Dr S. Therianos
Scatter diagrams:
Def: A Scatter Diagram is a plot of ordered pairs of sample data.
The purpose of a scatter diagram or just scatter-gram is to give a visual presentation of the
relationship between two quantitative
Grading Summary
These are the automatically computed results Date and Time Started:
of your exam. Grades for essay questions,
Time Spent:
and comments from your instructor, are in
Points Received:
the "Details" section below.
3/22/2013 1:13:53 PM
1 h , 19
1. What does gross domestic product (GDP) tell us?
The Gross Domestic Product (GDP) explains the market value of all final goods &
Services produced within a country in a given period.
2. How did GDP change from 2008?
The real GDP increased 1.1 percent fr
Measures of Relative Standing: The z-score
Numbers that describe the location or position of a particular value with respect to the
rest of the data, i.e. its relative standing are called General Position
Measures orMeasures of Relative Standing.
They inc
Statistics
Dr S. Therianos
Statistics
Descriptive
Statistics
Frequency
Distributions
(Tables)
Measures of
Central
Tendency
Mean
Median
Pictures (Histograms,
Frequency Polygons, pies)
Measures of
Variation
Inferential
Statistics
Individual
Numbers
Measures
Computing the Binomial Coefficients
There are various ways to compute the Binomial Coefficients using technology, i.e.
calculators and Excel.
TI-83/84:
In the attachment to the topic Factorials-Permutations-Combinations I explain how to
use the TI-83 to c
Statistics
Dr T
Example: In the last quarter of 2008, a group of mutual funds had a mean return of 2.4% with a
standard deviation of 5.6%. Assuming a normal distribution, what percent of this group of funds
would you expect to have return?
a) Over 6.8%?
b
Assume the data below is the number of visitors, over a certain number of years, at a Resort location
in the United States. We will deseasonalize the data, and forecast the number of visitors for the
next 4 quarters for the year 2004.
Year
Quarter
1997I
I