Statistics 3450: Homework #1
Solutions to Assigned Problems
1)
[12 pts (2,2,2,2,2,2) ]
(a) The sample space for this experiment is
S = cfw_(V V V V ), (F V V V ), (V F V V ), (V V F V ), (V V V F ), (
Statistics 3450: Homework #1
Solutions to Suggested Problems
1)
a) A = cfw_RRR, LLL, SSS
b) B = cfw_RLS, RSL, LRS, LSR, SRL, SLR
c) C = cfw_RRL, RRS, RLR, RSR, LRR, SRR
d) D = cfw_RRL, RRS, RLR, RSR,
Statistics 3450: Homework #1
Autumn 2012
Sections 1.1-1.3, 3.1-3.2
Due Thursday, September 6
Required problems:
To be turned in for credit :
Remember that you must show all work when answering the que
Statistics 3450: Homework #5
Sections 4.3, 4.8
Due Thursday, October 11
Required Problems:
To be turned in for credit:
Remember that you must show all work when answering the questions. If the answer
5.1 Point Estimation
SUGGESTED EXERCISES: 1,2,3,4
A STATISTIC is a numerical summary of a sample.
and sample standard deviation, s2.
EX: Sample mean, X,
A PARAMETER is a numerical summary of a popula
HOMEWORK 4: DUE Friday, November 7th
5.4/#11 (just construct the interval) 6.4/#6b) (test at an alpha level of .05) 6.6/#6b)c)
INSTRUCTIONS:
-Staple the pages.
-Put your NAME and ASSIGNED NUMBER (See
HOMEWORK 1: DUE WEDNESDAY, SEPTEMBER 17th
3.2/#6; 3.3/#4, #11
INSTRUCTIONS:
-Staple the pages.
-Put your NAME and ASSIGNED NUMBER (See PDF
Assigned Student Numbers for your number) on each page,
-ONE
HOMEWORK 3: DUE Wednesday, October 29th
4.3/#10 4.8/#6 5.2/#6a,c,e
INSTRUCTIONS:
-Staple the pages.
-Put your NAME and ASSIGNED NUMBER (See PDF
Assigned Student Numbers for your number-If you do not h
Statements of HW #1 Questions (NOTE: It is possible that there are typographical errors herein. If so,
they will not excuse an incorrect answer)
3.2/#6
A system consists of 4 components, A, B, C and D
HOMEWORK 2: DUE Friday, SEPTEMBER 26th
3.4/#12; 4.1/#8,#10
INSTRUCTIONS:
-Staple the pages.
-Put your NAME and ASSIGNED NUMBER (See PDF
Assigned Student Numbers for your number-If you do not have one,
Homework 4 (due Tuesday, October 11th at 11:30 am)
STAT 3450
Please submit a hard copy of your solutions. Make sure you show your work.
You must turn in your homework in class by 11:30 am on the due d
6.4 Small-Sample Hypothesis Tests
SUGGESTED EXERCISES: 1,2,3,5,6,7,8
Small-Sample Tests for a Population Mean
When hypothesis testing with large samples, we are able to assume S is reasonably close to
3.3 Random Variables (PART II)
SUGGESTED EXERCISES: 7,8,9,11,14,15
A random variable X is CONTINUOUS if and only if its set of possible values includes an
interval. Its probabilities are given by area
3.4 Functions of Random Variables
SUGGESTED EXERCISES: 1, 2, 3, 5, 9, 11, 12, 13
If X is a random variable and b is a constant, then if b is added to X
2
2
= X
X+b = X + b and X+b
If X is a random var
3.1 Basic Ideas
SUGGESTED EXERCISES: 1, 2, 3, 5, 7, 8
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, flipping
3.3 Random Variables (PART I)
SUGGESTED EXERCISES: 1,3,4,6
A RANDOM VARIABLE assigns a numerical value to each outcome in a sample space. Random
variables are usually denoted by capital letters.
EX: C
3.2 Conditional Probability and Independence
SUGGESTED EXERCISES: 1,2,3,5,6,7,9.10
Sometimes we want to know the probability that event A occurs if we know that another event B happens. This
is called
5.4 Small-Sample Confidence Intervals for a Population
Mean
SUGGESTED EXERCISES: 1,3,4,5,7,8,10,11,15
For large samples, in 5.2, our technique hinged on the CLT, and that our sample standard
X
woul
5.3 Confidence Intervals for Proportions
SUGGESTED EXERCISES: 1,3,4,7,9,11,12
Last section, we discussed confidence intervals for the sample mean from large samples. In this
section we will use simila
5.2 Large-Sample Confidence Intervals for a Population
Mean
SUGGESTED EXERCISES: 1,3,5,6,7,9,13,16,17
As you may recall, in the last section we discussed point esitmators and at the end some of their
6.7 and (more) 6.6 Rejection Regions, Errors and Power
SUGGESTED EXERCISES: 6.7/1,2,3,4,6,7,9,11
Critical Points and Rejection Regions
In a fixed level test of level of a sample of size n (n large) fr
5.1 Point Estimation
SUGGESTED EXERCISES: 1,2,3,4
A STATISTIC is a numerical summary of a sample.
and sample variance, s2.
EX: Sample mean, X,
A PARAMETER is a numerical summary of a population.
EX:
4.3 The Normal Distribution
SUGGESTED EXERCISES: 1,4,5,7,9,10,11,12
The NORMAL DISTRIBUTION is one of the most common and most important distributions in probability and statistics. Many numerical pop
Pick up graded Homework 2!
4 piles based on last name (from
left to right):
Pile 1: A-F (left of the chairs)
Pile 2: G-L (on the chair)
Pile 3: M-R (left side of table)
Pile 4: S-Z (right side of tabl
Chapter 3
Probability
Stat 3450 Fall 2016
Section 3.4: Functions of Random Variables
Mean and Variance of the Sample Mean
If 1 , 2 , , is a random sample from a population with mean and variance
2 ,
Chapter 3
Probability
Stat 3450 Fall 2016
Section 3.3: Random Variables [Continuous]
Example: Let Y = time (min) between when you go to Hamptons (on King Ave.)
and when you finally get served. Say tha
Chapter 3
Probability
Stat 3450 Fall 2016
Section 3.3: Random Variables [Continuous]
There are many standard distributions that one can use to model random
phenomena.
The simplest continuous distribut
Final Exam Review
STAT 1350 Final Exam Review Part I
1) The smaller the p-value, the
a.
b.
c.
d.
stronger the evidence against the alternative hypothesis
stronger the evidence for the null hypothesis