Review for Test 2
1. Only 30% of all new medicines are profitable.
company developed 10 new medicines last year.
a) How many of the 10 new medicines
eventually become profitable?
A leading drug
would
you
expect
to
b) Calculate the variance for the number
Partial Review for Final Exam
1. The quality control manager of an automobile parts factory would like to know if
there is a difference in the proportion of defective parts produced on different
days of the workweek. Random sample of 100 parts produced on
Lesson 12
Hypothesis Testing
Hypothesis testing enables us to _ _ about a
_ _ of a _
_ by analyzing differences between the
_ _ and the _
_ _. In the words of John Marden
(Professor of Statistics at University of Illinois at UrbanaChampagne) hypothesis te
Lesson 11
Estimation II and Sample Size
Confidence interval for a proportion:
where X=sample number of successes and n=sample size.
Note: P is the sample proportion of successes (events). We are
estimating , the population proportion (probability) of
succ
Lesson 10
Estimation 1
Inferential Statistics: to use _ results to make
inferences about the _ from which the sample
was drawn. The _ population should be the same
as the _ population!
Estimation
_ _: a single value that estimates a
population parameter,
Lesson 9
Sampling and Sampling Distributions
Why sample?
1. Limitations of _ and _.
2. A sample is more _ than a census.
3. Measurement may be _.
Types of Sampling
Nonprobability Sample
Entities chosen without regard to _ of occurrence
in population.
Of
Lesson 8
The Normal Distribution
Continuous Probability Density Function: A mathematical function
That describes probability for a continuous variable.
Area = _, therefore
Total Area under the curve = _.
Area between two values = probability of an occurre
Lesson 7
Covariance and Poisson
Covariance
The covariance is applied to _ _ by
_ _ . The covariance describes how two
variables vary with respect to each other. If the covariance is
_ both investments vary in the same direction,
that is, as the return goe
Lesson 6
Discrete Probability Functions
A _ Distribution for a discrete _
_ is a _ _ listing of all
possible outcomes and their associated _.
presented as a _, _, or _.
This can be
Probability
distributions represent the entire population.
Characteristics
Lesson 13
One Sample Tests
The pvalue
pvalue: The _ of obtaining a value for the _
_ equal to or more _ than the result
obtained given _ _ _.
If the p value is small:
If the p value is large:
When performing your analysis on computer always use the pval
Lesson 15
Paired ttest
If the two sets of measurements are _ a 2sample (independent) ttest is not appropriate.
Two sets of measurements are related if:

items or individuals are _ or
_ according to some
characteristic(s),

2 measurements are taken on
Lesson 16
2 Proportion test &
ChiSquare Test of Independence
ztest for comparing 2 proportions:
The test statistic for comparing proportions of two independent
samples is a 2proportion z test.
For the sample size to be large enough to use this approxim
Lesson 17
ANOVA
Instead of comparing means between 2 groups we often need
to compare the _ among _ _
_ groups.
The parametric test to do this is called
_ _ _ (ANOVA).
Definitions:
_ or _ variable: The
quantitative variable you are measuring or observing.
Grading Rubric (With Notes) for Your Memo
When I grade your memos this is what I will look for.
In the memo: (2 points)
I will look for proper memo format including initialing your name on the from line with a
pen.
An introductory paragraph including:
o
o
Running head: STATISTICS
Statistics
Name
lnsiutbml Afl'nlbn STATISTICS 2
Statistics
lnhethtctlou
Fast operational setups have prompted contemporary busineses to inroduce innovative
techniques as a way of coping and maintaining relevance. While some of the
Lesson 2
Chapter 2 Sections 13
Section 2.1: Summarizing a Categorical Variable
A frequency table consists of a complete list of the possible _categories_ with their
associated _counts_ (frequencies) and/or _percentages_ (relative
frequencies).
Example in
undLesson 8
Chapter 8 Notes
Section 8.1: Three Ideas of Sampling
1. Sample Examine a Part of the Whole
The entire collection of individual elements of interest is the population.
A portion of the population is a sample.
A good sample will be representa
Lesson 5
More Basic Probability
Note: You will need the Binomial tables for Lesson 6!
A population of 200 TSP stores, a womens casual clothing chain
was crossclassified on the basis of frequency of customer
visits (low, medium, high)and if the store was
Lesson 4
Basic Probability
_ is the likelihood that a particular event
will occur.
We can write this symbolically as _.
_ P(E) _.
There are 3 types of probability:
1.
_ _: The proportion of times
that an event can be theoretically expected to occur based
Answers to Partial Review for the Final
If you think there is an error in one of my answers email me and I will double check it.
Make sure that you can do an ANOVA completely with appropriate hypothesis tests for
the final exam.
Problem 1:
Hypotheses:
H0
Assumptions
Test Statistic
2sample ttest
Ftest
Levenes test
Paired ttest
Two proportion test
Chisquare Test of Independence
Assumptions
Sample size is 5 if original population is
symmetric.
Sample size is 30 if original population
is not symmetric.
T
Answers to Partial Review Test 2A
1. Binomial with n = 10 and = 0.3
a) E(x) = = n =3
b) 2 = n(1) = 2.1
c) P(x6n=10, =0.3) = 0.0473
2. P(x 4  = 3) = 0.8153
3. Normal with = 31.5 and = 1.4
a) P(31<x<32=31.5, =1.4) = P(0.36<z<0.36) =
0.1406+0.1406 = 0.2
Answers to Partial Review for Test 3
1
H0: A=B
H1: A B
2sample t
Assumptions: 1. The original populations of gas mileages are approximately normally
distributed.
2. The variances are equal.
3. independent random samples
2
H0: 0.10
H1: > 0.10
Assumptions:
TwoSample Test Review
Is the question about means or proportions?
Are the samples paired or not?
Is the question about variability?
For the following problems set up the hypotheses, write the test statistic, and state the assumptions.
1. The following da
TwoSample Test Review
For the following problems set up the hypotheses, write the test statistics with its formula, state the
critical value decision rule, state the assumptions.
1. The following data represent samples of 10 books each of two production
HOMEWORKASSIGNMENTDUE11713
1.
Read all of chapter one in your textbook (Pages 116).
2. On page 14 do problems 1, 2, and 4. On pages 16 through 19 do
problems 5, 6, 7, 9, and 13. Wordprocess your answers to these
questions.
3. Find one article in a curre