Name:_
July 16, 2009
Math 312 Exam #1
1. In order for X1, . ,Xn to be a random sample, the Xi must be INDEPENDENT and
IDENTICALLY DISTRIBUTED.
2. For large enough values of n, the sum of a random sample approximates a
NORMAL distribution.
3. MVUE stands f
Name:_
August 6, 2009
Math 312 Exam 2
You must show all of your work to receive full credit. You have fifty (50) minutes to
complete this exam.
(5 pts each)
1.
a. Define Type I error.
b. Define Type II error.
c. Define .
d. Define .
2. Let denote the true
Probability and Statistics II
M-312
Lecture 1
1. Random Samples
1.1. Statistics and Their Distributions
The observations in a single sample are denoted by x1 , x 2 , , xn . Before we obtain data
there is uncertainty about the values of each xi . Because o
MATH 312
Probability and Statistics II
Credits: 4.0
Instructor: Boris Kheyfets
Office:
207, Korman Hall
Office Hours: 7:00pm 8:00pm, on Mondays and Wednesdays (by appointment)
Email:
[email protected]
Text:
Jay L. Devore, Probability and Statistics for Eng
Confidence Intervals for
Proportions
Example One
Police set up an auto check point at which
drivers are stopped and their cars inspected
for safety problems. They find 14 out of 134
cars stopped to have at least one safety
violation. They want to estimate
Sampling Distributions
Proportions
A sample is a part of a population.
A proportion divides something
of Eagle fans believe they will not win
another game this season, so believe they
will win at least one more game this season
A proportion can be treate
1
MATH 410, Spring 2014, Take-Home Midterm Exam
See instructions on page 7
1. A survey was done to study a possible relation between a students position in their family birth order
and their major in college. Birth orders were categorized as 1 for oldest
The simple linear regression model is:
yi b0 b1 xi
yi predicted value of y mean of y at xi
b0 intercept, b1 slope
60
50
Fat(g)
40
30
20
10
0
0
10
20
30
Protein(g)
40
50
TheLinearModel
Thesampledataisusedtoestimatetheregression
model,whichisamodelforthepop