Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 1 Due Friday, 1/28/11
1. In 1970, there were 1.9 million deaths in the U.S. In 2000, there were 2.4 million deathsa 25% increase.
True or false (and explain): This data shows that the publics health got w
Name:
Math 1011 Intro to Statistics
Spring 2011
QUIZ 5 Condence Intervals
3/30/11
1. Gallup polled 3557 people last week and found 45% approve of the job President Obama is doing, 47%
disapprove, and 8% are neutral. Find 95% condence intervals for each of
Name:
Math 1011 Intro to Statistics
Spring 2011
QUIZ 4 Probability Histograms
3/23/11
1. Consider the random variable tracking the number of heads in 4 ips of a fair coin. Draw a probability
histogram for this random variable.
Solution: First, compute f (
Name:
Math 1011 Intro to Statistics
Spring 2011
QUIZ 3 Probability
2/16/11
1. An urn contains 3 red balls, 2 blue balls, and 5 green balls.
(a) A ball is pulled out of the urn.
(i) What is the probability that it is blue?
(ii) What is the probability that
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 9 Due Monday, 4/18/11
1. A large calculus lecture is divided in to smaller subsections. One 12 person subsection averages 84 on an
exam (with a SD of 7.1) while the class only averaged 80. Is this dierenc
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 8 Due Monday, 4/11/11
1. A supposedly fair coin is handed to a skeptical investigator. He ips it 731 times and obtains 397 heads.
Can he conculde that the coin is biased?
Solution: Null hypothesis: P (hea
Name:
Math 1011 Intro to Statistics
Spring 2011
QUIZ 1 Histograms
1/24/11
1. In a recent football game, one team (we will call them the Packers) ran 57 plays, and the other (call
them the Bears) ran 61. The tables below list the number of times a play gai
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 7 Due Monday, 4/4/11
1. In the 1965 Supreme Court case Swain v. Alabama, a point of contention in the appeal was the fact
that the jury contained no minority members. Alabama law required the jury to be s
Name:
Math 1011 Intro to Statistics
Spring 2011
QUIZ 2 Normal Distribution
1/31/11
1. Suppose a set of test scores are well approximated by a normal distribution with mean = 54 and
standard deviation = 11.
(a) What percentage of scores were above 70?
(b)
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 4 Due Friday, 2/25/11
1. A 12-sided die has 3 sides painted red, 4 sides painted blue, 4 sides painted green, and 1 side painted
black.
(a) If the die is rolled 4 times, nd the probability of at least 1 r
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 3 Due Friday, 2/18/11
1. Suppose a scientist collects the following data:
x
-8
-4
-1
-1
7
7
10
y
-2
-1
0
6
7
8
*
Unfortunately, he spills coee on his notebook and cannot read the y-value of the last line.
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 5 Due Friday, 3/4/11
1. In roulette, a ball is spun on a wheel and lands one one of the numbers 0, 00, or 1 through 36 (38 total
options). There are many dierent kinds of bets one can make. Find the expec
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 2 Due Monday, 2/7/11
1. Suppose the average of a list of numbers is 12, and the standard deviation is 4.
(a) If we add 6 to every number in the list, what are the new average and standard deviation?
(b) I
Math 1011 Intro to Statistics
Spring 2011
HOMEWORK 6 Due Monday, 3/28/11
1. A box contains slips of paper with the numbers 2, 9,10, 11. Pieces of paper are drawn from the box
with replacement.
(a) Find the expected value and standard error of the average
Name:
Math 1011 Intro to Statistics
Spring 2011
QUIZ 6 p-Values
4/14/11
1. You are to run an experiment to determine if your coin is fair or not. Flip it 20 times and record the
results:
Trial
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Result
(a)