SAMPLE MIDTERM TWO, Stat 3470, deLaubenfels, Spring 2013
On all binomial, normal and Poisson problems, you must use an appropriate table when possible.
Make approximations when appropriate; in particular, make Poisson or normal approximation of
binomial a
STAT 3470: Homework #1
Spring 2014
Sections 2.1 2.3
Due January 17, 2014
Remember that you must show all work in order to receive credit for the problems. If the answer is a
calculation, be sure to write down the formula that you used or explain how you a
STAT 3470: Homework #2
Sections 2.4-2.5, 3.1-3.4
Spring 2014
Due January 31, 2014
Remember that you must show all work in order to receive credit for the problems. If the answer is a
calculation, be sure to write down the formula that you used or explain
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Correlation
Correlation is a measure of the linear association between two variables. This page documents the two
platforms in JMP for assessing correlation.
Correlation Between Two Variables
Example: Body Measurements.jmp (Help
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Paired t-Test and CI
Use to test if the means of two paired (dependent or correlated) samples are statistically different. Note: The
paired measurements must be stored in separate columns.
Paired t-Test Using Matched Pairs
Exampl
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Simple Linear Regression
Simple linear regression is used to model the relationship between two continuous variables.
Simple Linear Regression Using Fit Y by X
Example: Big Class.jmp (Help > Sample Data)
1. From an open JMP data
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Chi Square Tests for a Two-Way Table
Use to test for independence or homogeneity of two categorical variables in a contingency table.
The Contingency Table Analysis
Example: Car Poll.jmp (Help > Sample Data)
1. Select Analyze > Fit Y by X.
2
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One Sample t-Test and CI
Use to estimate the population mean from a sample (confidence interval for the mean) or perform a hypothesis
test for a mean (one sample t-Test).
Confidence Interval for the Mean
Example: Car Physical Dat
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Sample Size and Power for Testing Proportions
Use to calculate sample size and power for tests involving one or two sample proportions. For sample size and
power calculations for tests involving means, see the page Sample Size an
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Random Sampling and Random Data
This page documents methods for selecting a random sample and generating random data in JMP.
Random Sampling
Example: Car Physical Data.jmp (Help > Sample Data)
1. From an open JMP data table, sele
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Finding the Area Under a Normal Curve
This page documents one method for finding the area under the lower tail of the curve (cumulative probability)
in JMP for one value or for multiple values of a normally distributed continuous
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Finding Standardized Values (z-Scores)
This page documents two methods for calculating standardized values (z-scores) in JMP.
Method 1 (Save Standardized)
1. From an open JMP data table, select Analyze > Distribution.
2. Select o
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Assessing Normality
This page documents some ways to assess normality for a continuous (quantitative) variable.
1. From an open JMP data table, select Analyze > Distribution.
2. Select one or more continuous variables from Select
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Summarizing Data Using Tabulate
Use Tabulate to interactively summarize data and construct tables of descriptive statistics.
Drag and Drop to Summarize Data
Example: Car Physical Data.jmp (Help > Sample Data)
From an open JMP dat
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Scatterplots
Use to display the relationship between two continuous variables. Continuous variables have blue triangles.
Scatterplots Two Variables
1.
2.
3.
4.
From an open JMP data table, select Analyze > Fit Y by X.
Click on a
3.6 Poisson Probability Distribution
SUGGESTED EXERCISES: 79, 81, 83, 85, 86, 87, 91, 92, 92
A discrete random variable X has a POISSON DISTRIBUTION with parameter ( > 0)
if the probability mass function of X is
ex
, x = 0, 1, 2, .
p(x; ) =
x!
EX: Some ra
STAT 3470: Homework #5
Spring 2014
Sections 5.3, 5.4, 5.5, 6.1, 6.2
Due March 7, 2014
Required Problems.
To be turned in for credit:
1. The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500 psi.
a. What is the pro
3.3 Expected Values
SUGGESTED EXERCISES: 29(except b.), 31, 32, 35, 36, 37, 39
Let X be a discrete random variable with set of possible values D and probability mass function
p(x). Then the EXPECTED VALUE or MEAN (VALUE) of X is denoted by E(X), X
or , an
3.1 Random Variables
SUGGESTED EXERCISES: 1,5,7,10
A RANDOM VARIABLE assigns a numerical value to each outcome in the sample space of
an experiment. Random variables are usually denoted by capital letters, e.g. X, Y , or Z.
EX: Consider the experiment whe
2.2 Probability.
SUGGESTED EXERCISES: 11,13,14,15,17,21,23,24,25
The object of probability is to assign to any event a numerical value that describes the chance of
that event occuring. Any assignment of probabilities to an experiment must satisfy the foll
2.1 Sample Spaces and Events
SUGGESTED EXERCISES: 1, 2, 3, 5, 8, 9, 10
An EXPERIMENT is any activity or process whose outcome is subject to uncertainty.
EX: Drawing a card from a deck, rolling dice or a die, ipping a coin, observing the direction cars tur
2.5 Independence
SUGGESTED EXERCISES: 71,73,74,77,79,80,83,85,88
Independent Events
Two events are INDEPENDENT if knowlege of one occuring does not change the probability that the other
occurs. Mathematically speaking, if P (A) and P (B) are non-zero, the
2.3 Counting Techniques
SUGGESTED EXERCISES: 30,31,33,35,39,40,42
As you may recall from the last time, in a sample space S where each outcome is equally likely
m
where N is the number of outcomes in S and
the probability of an event A is given by P (A) =
2.4 Conditional Probability
SUGGESTED EXERCISES: 45,47,49,51,52,55,59,62,63,67
For any two events A and B with P (B) > 0, the CONDITIONAL PROBABILITY OF A
GIVEN THAT B HAS OCURRED is dened by
P (A|B) =
P (A B)
P (B)
Venn Diagram:
EX: Suppose 2 dice are ro
STAT 3470: Homework #3
Sections 3.6, 4.1, 4.2
Spring 2014
Due February 10, 2014
Remember that you must show all work in order to receive credit for the problems. If the answer is a
calculation, be sure to write down the formula that you used or explain ho
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Opening JMP and Getting Started
This page gives information on creating a new data table, opening data tables, and finding help within JMP.
Opening JMP
1. When you first open JMP, youll see the Tip of the Day window and the
JMP H
STAT 3470: Homework #6
Spring 2014
Sections 7.1, 7.2, 7.3
Due March 28, 2014
Remember that you must show all work in order to receive credit for the problems. If the answer is a
calculation, be sure to write down the formula that you used or explain how y
STAT 3470: Homework #8
Spring 2014
Chapter 9
Due April 14, 2014
Remember that you must show all work in order to receive credit for the problems. If the answer is a
calculation, be sure to write down the formula that you used or explain how you arrived at
Statistics 3470: Homework #9
Chapter 12, Section 13.1
Due: April 21, 2014
50 points
Remember that you must show all work in order to receive credit for the problems. If the answer is a
calculation, be sure to write down the formula that you used or explai
STAT 3470: Homework #7
Chapter 8
Spring 2014
Due April 7, 2014
Remember that you must show all work in order to receive credit for the problems. If the answer is a
calculation, be sure to write down the formula that you used or explain how you arrived at
The llllll hypothesis dBllOiEti by H is the Claim ihili iS initially assumed iii A test statistic is a function of the sample data used as a basis for deciding
ll? whether HD should be rejected. The selected test statistic should discriminate
'33 true (t
The Simple Linear Regression Model
There are parameters .311- IBII and oz, such that for any tted value of the inde
pendent variable x, the dependent variable isa random variable related to I
through the model equation
r=I3IIiaIxie cfw_12.1)
The quantity
GD ACD A. 0 O O
J t a . If
(a) Venn diagram of (b) Shaded region (c) Shaded region (11] Shaded region (e) Manually exclusive
eventsAandB iBAnB isAUB isA events
I C s C
if Shaded region lg) Shaded region
iSALJBUC isnnsnc
Figure 2.1 Venn diagr