NAME: _
STUDENT ID (if any): _
GSI (Daniel or Partha): _
SECTION TIME: _
Stat 2 midterm
10:00 a.m., Friday 18th July, 2008
Time allowed: 60 minutes
Answer all TWENTY questions. All questions are of equal value (two points).
Please keep written answers bri
Solution to Homework 6
Statistics 205B: Spring 2008
1. (Problem 1.2 from section 6.1 in Durrett)
(a) Let A be any set and let B = n (A) . Show that 1 (B ) B .
n=0
(b) Let B be any set with 1 (B ) B and let C = n (B ). Show that 1 (C ) = C .
n=0
(c) Show t
Homework 9
Statistics 205B: Spring 2008
Due on April 3, 2008
1. Let X and Y be two Rd valued random variables with E[X] = E[Y ] = 0 and Cov[X] = Cov[Y ]
nite. Let X1 , X2 , . . . be independent copies of X and Y1 , Y2 , . . . independent copies of Y .
Let
Homework 6
Statistics 205B: Spring 2008
Due on March 6, 2008
1. (Problem 1.2 from section 6.1 in Durrett)
(a) Let A be any set and let B = n (A) . Show that 1 (B ) B .
n=0
(b) Let B be any set with 1 (B ) B and let C = n (B ). Show that 1 (C ) = C .
n=0
(
Homework 5
Statistics 205B: Spring 2008
Due on February 28th, 2008
1. Suppose T is a strong stationary stopping time so that for every value of x if X0 = x then
conditioned on T = t, the distribution of XT is given by the stationary distribution . Suppose
STAT 2 quiz 7: 25 minutes
Question 1: To test a roulette wheel is fair, I spin it 500 times. State the appropriate null hypothesis,
alternative hypothesis, and test statistic.
Question 2: A researcher wishes to study the relationship between mother' heigh
Name: _
Student ID (if any): _
Quiz 6: 11 am version
Stat 2, summer 2008
Closed book
25 minutes
Answer all SIX questions. All questions are of equal value. Indicate your final answer clearly.
Answer questions requiring written answers in THIRTY WORDS OR L
Name:_ Student ID :_
Quiz 5: 11 am version
Stat 2, summer 2008
Closed book
25 minutes
Answer all SEVEN questions. All questions are of equal value. Indicate your final
answer clearly.
Note: the formula for the standard error of a percentage for a sample t
Quiz 4
11 am version
Stat 2, summer 2008
Closed book
25 minutes
Answer all SIX questions. All questions are of equal value. Indicate your final answer clearly.
1. I roll a die seven times. What's the probability of getting exactly three sixes?
2. I roll a
Quiz 3
Stat 2, summer 2008
Closed book
25 minutes
SID:
Name:
Answer all SIX questions. All questions are of equal value. Indicate your final answer clearly.
Here are the daily ice cream sales and high temperatures for a week for a local ice cream shop:
Te
Quiz 2: 11 am version
Stat 2, summer 2008
Closed book
25 minutes
Answer all SEVEN questions. Indicate your final answer clearly.
Here is a list of Smurf heights, in inches:
14, 6, 15, 10, 13, 13, 9, 7, 8, 11, 8, 12
Question 1 (2 points): Draw a box plot o
Quiz 1: 11 am version
Stat 2, summer 2008
Closed book
25 minutes
There are TEN questions, all of equal value. Please write a maximum of ONE SENTENCE (20 words)
for each answer.
In the Pepsi Challenge, a researcher pours Coke and Pepsi out of bottles into
Practice midterm
Stat 2, summer 2008
60 minutes
There are TWENTY questions, which tend to get harder as you go along.
A researcher believes cupcakes make people fall asleep. At noon, he feeds cupcakes to a random
sample of cupcake-eaters until they are st
STAT 2 practice exam
Question 1: A survey of a simple random sample of 1000 Americans is carried out. Participants were
asked a series of questions about their health and their exercise habits. Of the 400 people in the study
who said they exercised regula
STAT 2 practice questions:
Chance variability and sampling (ch. 16-23)
Question 1: I draw playing cards from a deck with replacement. Which is more likely, and why?
(You do not need to find the exact probability.)
(a) In 100 draws, 20% to 30% are hearts.
STAT 2 practice questions:
Probability (ch. 13-15)
Make absolutely sure you understand the standard questions before trying the hard ones. In fact, feel
free to skip the hard ones.
My niece has a deck of ten Pokemon cards. Five are Water Pokemon, three ar
STAT 2 practice questions:
The basics (ch. 1-7)
An experimenter testing a hangover cure gives out pills to a sample of 100 drinkers. They are told to
take the pill the next time they have a hangover. 65 of the drinkers reported that their hangover went
aw
Stat 2 mock final
Time allowed: 60 minutes
Question 1: I am hired to test a the effectiveness of a flu vaccine on Berkeley students. I wish to
vaccinate a simple random sample of students, but only half of them consent to be vaccinated. I
vaccinate all th
Solutions to homework 7
Statistics 205B: Spring 2008
1. Reading exercise: Read (and understand) Example 6.1.5, Theorem 6.1.2 and Theorem
6.1.3 in Durrett. Give one instance where we have used Theorem 6.1.2 and one where we
have used Theorem 6.1.3.
Solutio