Sample Midterm
July 16, 2015
1
Review Session
1.1
Probability
The president of Company A believes that the probability that sales will grow by 10% in the
next year is 0.70. It is also known that sales growth and announcement of new operating
systems are r
Problem Set 4
Statistics
Professor Timothy Roeper
Due October 13, 2017
1
Independence
2
Binomial Random Variables
2.1
Marx and Larsen 3.2.1
2.2
Marx and Larsen 3.2.2
2.3
Marx and Larsen 3.2.3
2.4
Marx and Larsen 3.2.12
3
Normal Distribution
3.1
Marx and L
Statistics Problem Set #3
Timothy Roeper
Due Friday October 6th
1
Continuous Random Variables
1.1
Suppose
pX (x) = 4x3 if 0 < x < 1
And zero everywhere else
1. What is the probability that X is less than .25
2. What is the probability that X is greater th
Problem Set 8
(Due date to be determined in class)
Xue Wang
1. A random sample of 10 economists produced the following forecasts for percentage
growth in real domestic product in the next year: 2.2 2.8 3.0 2.5 2.4 2.6 2.5 2.4 2.7 2.6
Use unbiased estim
Problem Set 1
(Due on 7/7/2015)
Xue Wang
1. Construct a time-series plot for the following number of customers shopping at a
new mall during a given week.
Day
Number of Customers
Monday
525
Tuesday
540
Wednesday
469
Thursday
500
Friday
586
Saturday
640
2.
Problem Set 3
(Due on 7/9/2015)
Xue Wang
1. A publisher receives a copy of a 500-page textbook from a printer. The page
proofs are carefully read and the number of errors on each page is recorded,
producing the data in the following table:
Number
of er
Problem Set 2
(Due on 7/8/2015)
Xue Wang
1. The ages of a sample of 12 students enrolled in an online macroeconomics
courses are as follows:
21, 22, 27, 36, 18, 19, 22, 23, 22, 28, 36, 33
a. Find the mean age of this sample.
b. Find the median age of this
Problem Set 4
(Due on 7/13/2015)
Xue Wang
1. There are three red chips and two blue chips in a bowl. The red chips are
numbered 1, 2, and 3, respectively, and the blue chips are numbered 1 and 2,
respectively. Suppose two chips are to be drawn at rando
Problem Set 6
(Due date to be determined in class)
Xue Wang
1. Consider the following uniform distribution.
a. What is P (X>5)?
b. What is E [X]?
c. What is Var ( X )?
2. A company services home air conditioners. It is known that times for service calls
f
Problem Set 5
(Due date to be determined in class)
Xue Wang
1. A contractor estimates the probabilities for the number of days required to
complete a certain type of construction project as follows:
a. What is the probability that a randomly chosen projec
Problem Set 9
(Due date to be determined in class)
Xue Wang
1. A pharmaceutical manufacturer is concerned that the impurity concentration in pills
should not exceed 3%. It is known that from a particular production run impurity
concentrations follow a
Problem Set 7
(Due date to be determined in class)
Xue Wang
1. A company produces breakfast cereal. The true mean weight of the con- tents of its
cereal boxes is 20 ounces, and the standard deviation is 0.6 ounce. The population
distribution of weights is
chapter 5
5-1
CREATE OR REPLACE PROCEDURE prod_name_sp
(p_prodid IN bb_product.idproduct%TYPE,
p_descrip IN bb_product.description%TYPE)
IS
BEGIN
UPDATE bb_product
SET description = p_descrip
WHERE idproduct = p_prodid;
COMMIT;
END;
BEGIN
prod_name_
Homework #5
Chapter 14
Q34
a)
b)
c) 0.07
1-0.75=0.2525%
0.49/0.56= 0.87587.5%
Having health insurance and a retirement plan are not
0.49
0.19
independent events. 87.5% of people with health insurance
have a retirement plan and overall 68% have health insu
CHAPTER 6 SOME SOLUTIONS
6.6 a. Mean and variance of the sampling distribution for the sample mean
x 100
;
2
2
900
x n
30 x x 2 30
30
b.
= 1.64
109 100
zx
30
Probability that
= 1 Fz(1.64) = .0505
x 109
c.
96 100
zx
30
= .73; 1 Fz(.73) = .2327.
= 1.83
CHAPTER 7 SOME SOLUTIONS
7.12
a.
x z 2
b.
x z 2
c.
7.20
a.
x z 2
=
n
=
n
=
n
50 1.96 40
64
= 40.2 to 59.8
85 2.58 20
225
= 81.56 to 88.44
510 1.645 50
485
= 506.27 to 513.73
= .05, n = 25, sample mean = 560, s = 45
=
= 541.424 to 578.576
s
45
x tv , 2
PROBLEM SET 2
Statistics, Summer 2015, NYU
Ercan Karadas
(To be handed in at the beginning of the recitation on Thursday, June 18)
(1) A bowl contains 16 chips, of which 6 are red, 7 are white, and 3 are blue.
Suppose four chips are to be drawn at random
PROBLEM SET 4 - Solutions
Statistics, Summer 2015, NYU
Ercan Karadas
(To be handed in at the beginning of the class on Tuesday, June 30)
(1) Random variable: X: Weight of a cereal box, and we know that X
N (20, (0.6)2 ).
2
2
(0.6)
2
the standard error o
PROBLEM SET 1
ERCAN KARADAS
(To be handed in at the beginning of the recitation, June 11)
(1) This exercise should be done in Excel and only the output should be submitted.
Download the data file Price-Quantity from the Dropbox folder.
(a) Group the varia
CHAPTER 9 SOME SOLUTIONS
9.10
A random sample of n = 25, variance =
Consider the null hypothesis
H :
0
2
80
and the sample mean is = 70.
versus the alternative
H :
1
80
.
Compute the p-value
a.
= 225.
=
= -3.33.
= .0004
2
x
70
80
p
value
P
(
z
3.33)
0
p
Homework 8
Chp 19
Q12
a) H0: 40% of high school graduates go on to college; p=0.4
HA: The percentage of high school graduates that go on to college is not 40%; p0.4
b) H0: 20% of cars of a certain model need transmission work after being driven
between 50
Homework #4
Chapter 13
Q22
It is incorrect because residence might have both a garage and a swimming pool. In fact, from
observation, if a residence has a swimming pool, it can be assumed it will also have a garage.
Q26
a) George just added together the p