Name:_
PSU ID #:_
Stat 301 Section 001
Exam 1
Section 1: Multiple Choice (4 points each)
1. Let X be the number out of 50 randomly selected students in America who get a score above 600 on
the Math section of the SATs. Is X a binomial random variable?
A N
STAT 301
Homework 1 Solutions
Problem 2-6 (4 pts) The sample average is
x=
2.13 + 2.96 + 3.02 + 1.82 + 1.15 + 1.37 + 2.04 + 2.47 + 2.60
= 2.1733.
9
To nd the sample standard deviation we rst need the sample variance.
2
s =
n
i=1
(
x2
i
n1
n
i=1
s=
xi )
n
In general a CI formula for a parameter is:
Sample estimate (t-multiplier standard error)
The test statistics is :
(or get s2 = MSE from ANOVA/regression output)
Se(b1) =
Se(b0)=
CI formula for Y
PI formula for ynew
Coefficient of determination :
SSTO = S
Exam 1
STAT 301, Spring 2014
INSTRUCTIONS
This is closed book, closed notes test. Only a calculator and one page formula
sheet(8.511, hand-written, front and back) are allowed during the test. Cheating
will not be tolerated. Anyone caught cheating will re
STAT 301, Fall 2014
Midterm Exam 1
12:20pm1:10pm, October 10, 2014
INSTRUCTIONS:
This is a closed book test. Only a calculator and one page formula sheet (8.5 11,
hand-written, front and back) are allowed during the test. Cheating will not be
tolerated. A
STAT301-Statistical Analysis I
Homework 2-Solution
Spring 2014
by Youngjoo Cho
From inside of textbook :
(3-14)
Lets set
P (OF) = P (overlled) = 0.40,
P (MF) = P (medium lled) = 0.45,
P (UF) = P (underlled) = 0.15,
(a)
P (not underlled) = P (U F ) = 1 P (
STAT301-Statistical Analysis I
Homework 1-Solution
Spring 2014
by Youngjoo Cho
Chapter 2
(2-4)
The Descriptive Statistics results from Minitab.
Descriptive Statistics: Strength
Variable
Strength
Variable
Strength
N N*
Mean
18
0 126.22
Maximum
170.00
SE Me
Exam 1 STAT 301, Spring 2014
Instructor: Youngjoo Cho
INSTRUCTIONS
This is closed book, closed notes test. Only a calculator and one page formula sheet(8.511, hand-written, front and back) are allowed during the test. Cheating will not be tolerated. Anyon
Exam 1
STAT 301, Spring 2014
INSTRUCTIONS
This is closed book test. Only a calculator and one page formula sheet(8.5 11,
hand-written, front and back) are allowed during the test. Cheating will not be
tolerated. Anyone caught cheating will receive an auto
STAT 301, Fall 2014
Midterm 1 Solution
12:20pm1:10pm, October 10, 2014
INSTRUCTIONS:
This is a closed book test. Only a calculator and one page formula sheet (8.5 11,
hand-written, front and back) are allowed during the test. Cheating will not be
tolerate
1. Multiple choice questions: write the most appropriate option (in terms of A/B/C/D)
in the parenthesis.
(a) If X is a continuous random variable, then for all values of c P (X = c) = 0.
(A) True (B) False
(
)
(b) E(aX1 + bX2 ) = aE(X1 ) + bE(X2 ).
(A) T
STAT 301
Homework 2 Solutions (30 points)
Problem 3-14 (4 points)
(a) P (underlled) = 0.15, so P (not underlled) = 1 P (underlled) = 1 0.15 = 0.85.
Another way: If the cartridge is not underlled, then it must be either medium lled or overlled.
So we want
STAT 301
Homework 6 Solutions (26 points)
Problem 4-32 (6 points)
(a) The SE mean is equal to n = 2.4 = 0.48. The P-value is P (Z > 3.75) = 0.0006. The null
5
hypothesis can be rejected at the 0.05 level because the P-value is less than 0.05.
(b) The test
STAT 301
Homework 7 Solutions (46 points)
Problem 4-66 (4 points)
The sample size here is n = 15, so the variance will follow a chi-square distribution with 14
2
degrees of freedom. Since the alternative hypothesis is of the form H1 : 2 > 0 , we want to
c
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 26
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 5-8. What if we have more than two samples?
One-way ANOVA
CRD
Statistical linear mode
STAT 301
Homework 4 Solutions (42 points)
Problem 3-110 (4 points)
(a) We are given that n = 20 and p = .01. Therefore E[X] = np = .2 and Var [X] = np(1 p) =
.198, and the standard deviation is = .198 = .445.
A process problem is suspected if X exceeds it
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 8
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 3. Random variables and probability distributions
Probability distribution for continu
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 18
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 4. Decision making for a single sample
Inference on the mean of a population, varianc
Spring 2015
STATISTICS 301: Statistical Analysis I
Section 001
MEETING TIMES AND PLACES: 11:15 AM - 12:05 PM, M,W,F at 158 Willard.
ACADEMIC CALENDAR: http:/www.registrar.psu.edu/, click on Academic Calendars.
TAUGHT BY:
Weijie Shen, 423 Thomas Bldg, weij
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 25
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 5. Decision making for two samples
Inference on two population proportions:
Assumptio
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 19
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 4. Decision making for a single sample
Inference on the variance of a normal populati
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 24
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 5. Decision making for two samples
The Paired t-test:
Paired versus Independent Data
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 23
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 5. Decision making for two samples
Inference on the means of two populations, varianc
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 12
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 3. Random variables and probability distributions
Poisson distribution and Poisson Pr
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 9
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 3. Random variables and probability distributions
Probability distribution for continu
STAT 301
Homework 3 Solutions (34 points)
Problem 3-38 (4 points)
(a)
P (1 < Z < 1) = P (Z < 1) P (Z < 1) = 0.841345 0.158655 = 0.68269.
(c)
P (3 < Z < 3) = P (Z < 3) P (Z < 3) = 0.99865 0.00135 = 0.99730.
(e)
P (0 < Z 3) = P (Z 3) P (Z < 0) = 0.99865 0.5
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 3
Weijie Shen
STAT 301, Statistical Analysis I
Topics
Chapter 2. Data summary and presentation
Boxplot
Multivariate Data - Scatter diagram and sample corre
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 5
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Conditional probability and Independence
Random variables
Weijie Shen
STAT 301, Statistical An
STAT 301, Statistical Analysis I
Weijie Shen
Department of Statistics
Penn State University
Lecture 7
Weijie Shen
STAT 301, Statistical Analysis I
Todays topics
Chapter 3. Random variables and probability distributions
Expectation and its properties
Varia
STAT 301 Homework 2
January 29, 2017
Problem 1-4
o A sample is simply the subset of a population so in order to obtain a
sample size of 20 from an infinite number of possible distances (the
population) you would just take a baseball and throw it 20 diffe
Problem 1-4
A sample is simply the subset of a population so in order to obtain a sample
size of 20 from an infinite number of possible distances (the population) you
would just take a baseball and throw it 20 different times recording the
distance of e
STAT 301 Homework 1
January 27, 2017
Problem 1-4
o A sample is simply the subset of a population so in order to obtain a
sample size of 20 from an infinite number of possible distances (the
population) you would just take a baseball and throw it 20 diffe
STAT 301, Statistical Analysis I
Junli Lin
Department of Statistics
Penn State University
Chapter 3
1/77
Chapter 3 - Probability
Chapter 3. Probability
3-1 Introduction
2/77
Introduction
Probability theory is useful in
Describing the distribution of popul