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HW-Sampling methods and central limit theorem
Name_
MU
LTI
PLE CHOICE. Choose the one alternative that best completes
the statement or answers the question.
1)
Provide an appropriate response.
1) The policy committee at State University has 6 members: John, Prof. Rise, Dr.
Hernandez, LaToyna,
Ming, and
J
ose. A subco
mmittee of two members mu
st be formed to investigate the
visitation
policy in the dormitories. List all poss
ible s
im
ple random
samples of size 2.
A) John and Prof. Rise, John and Dr. Hernandez, John and LaToyna, John and
Ming, John and
J
ose
B) John and Prof. Rise, Dr. Hernandez and LaToyna, Ming and Jose
C) John and
Prof. Rise, Prof. Rise and Dr, Hernandez, Dr. Hernandez and LaToyna, LaToyna
and
Ming, Ming and Jose D) John and Prof. Rise, John and Dr. Hernandez, John and
LaToyna, John and Ming, John and
Jose, Prof. Rise and Dr. Hernandez, Prof. Rise and LaToyna, Prof. Rise and Ming, Prof, Rise
and Jose, Dr. Hernandez and LaToyna, Dr. Hernandez and Ming, Dr. Hernandez and
Jose,
LaToyna and Ming, LaToyna and Jose, Ming and Jose
Determine the sampling technique which is used.
2) Thirty-five math majors, 64 music majors and 35 history majors are randomly
selected from 454
math majors, 309 music majors and 567 history majors at the state university.
What sampling
technique is used?
A) random B) cluster
C) systematic
D) convenience
E) stratified
3)
3
)
3) Every fifth adult entering an airport is checked for extra security screening. What
sampling
technique is used?
A) stratified
B) systematic C) cluster
D) convenience E) random
4)
At a local technical school, five auto repair classes are randomly selected and all of the
students
from each class are interviewed. What sampling technique is used?
A) stratified
B) convenience
C) systematic
D) random
E) cluster
5)
Provide an appropriate response.
5) The top 38 cities in Wisconsin as determined by population are given below.
Select a random
sample of four cities from the list below using the two digit list of random
numbers provided.
Begin with the uppermost left random number and proceed
down each column. When a column is complete, use the numbers at the top of
the next right column and proceed down that column.
Information was obtained
from the web site http
://ww
w.citypopulation.de/USA-Wisconsin, html,
Wisconsin Cities by Population
1 Milwaukee T0 Eau Claire | 1
7
New Berlin
T 25
West Bend
33 Watertown
2 Madison 10 Janesville 18 | W
ausau
26 Superior
34 Muskego
3 Green Bay 11 West Allis
19 Greenfield
27
Mount
Pleasant 35 De Pere
4
Kenosha
12 La Cr
os
se
20 Beloit
28 Neerah
36 Fitchburg
S Racine
13 Sheboygan21 Manitowoc
29 Stevens Point 37 South Milwaukee
6
Appleton 14 Wauwatosa
22
M
enomonee Falls
30 Caledonia
38 Grand
Chute
7
Waukesha
15 Fond du Lac 23 Franklin
31 Sun Prairie
8 Oshkosh 16 Brookfield 24 Oak Creek
32 Mequon
11
21
12
23
49 43
30
12
30
Random Numbers
6 -
**
19
15
4
31
2 24
20 32
38 43
29
18
28
3
A) Manitowoc, La Crosse, Franklin, Oshkosh, B) Milwaukee, Eau Claire, New Berlin,
West Bend.
C) Milwaukee, Madison, Green Bay, Kenosha.
D) Manitowoc, Appleton,
Greenfield, Fond du Lac.
6)
6) The amount of money collected by a snack bar at a large university has
been recorded daily for the
past five years. Records indicate that the mean daily amount collected is $1950 and the
standard
deviation is $500. The distribution is skewed to the right due to
several
hig
h volume days (including football game days). Suppose that 100
days were randomly selected from the five years
and the average am
ount
collected from thos
e days was recorded
, Which of the following describes
the
sampling distribution of the sample mean?
A) normally distributed with a mean of $1950 and a standard deviation of $50 B)
normally distributed with a mean of $1950 and a standard deviation of $500
C)
skewed to the right with a mean of $1950 and a standard deviation of $500
D) normally distributed with a mean of $195 and a standard deviation of $50
7
)
7) The amount of corn chips dispensed into a 12-ounce bag by the dispensing
machine has been
identified at possessing a normal distribution with a mean of 12.5 ounces and a
standard deviation of 0.1 ounce. Suppose 400 bags of chips were randomly
selected from this dispensing machine. Find the probability that the sample mean
we
igh
t of these 400 bags exceeded 12.6 ounces.
A) 0.6915
B) approximately 0 C) 0.3085
D) 0.1915
8)
8) The owner of a computer repair shop has determined that their daily
revenue has mean $7200 and
standard de
vi
atio
n $1200, The daily revenue totals for the next 30 days
will be monitored. What is
the probability that the mean daily revenue for the
next 30 days will exceed $7500?
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A) 0.0853
B) 0.9131
C) 0.9147
D) 0.0869
9
)
_
9) Professor Whata Guy sur
v
eyed a random sample of 420 statistics students.
One of the questions
was "Will you take another mathematics clas
s
?" The results showed that 252
of the students said
y
e
s. What is the sample proportion, p of students who say
they will take another math class?
A)
0.252
B)
0.6
C)
0.42
D)
0.
77
5
1
0
)
-
10) A national caterer determined that 87% of the people who sampled their
food said that it was
delicious. A random sample of 144 people is obtained from a population of 5000.
The 144 people
are asked to sample the caterer's f
ood. Will the distribution of p,
the sample proportion saying that
the food is delicious, be approximately normal?
Answer Yes or No.
A)
Yes
B)
No
11
)
11) A simple random sample of size n=1460 is obtained from a population whose
size is N=1,400,000
and whose population proportion with a specified characteristic is p =0:57.
Describe the sampling distribution of p.
A) Approximately normal; Mp =
0.57, Op = 0.1323
B) Exactly
normal; pp = 0.57, op = 0.013
C) Exactly normal; Mp=0.57, Op
= 0.1323 D) Approximately
normal; Mp = 0.57, Op=0.013
12) Smith is a weld inspector at a shipyard, He knows from keeping track of
good and substandard
welds that for the afternoon shift 5% of all welds done will be substandard. If
Smith checks 300 of the 7500 welds completed that shift, what is the probability
that he
will
find less than 20
substandard welds?
A)
0.5934
B)
0.4066
C)
0.0934
D)
0.9066
Answer Key
Testname: ITUNES HW-CLT AND SAMPLING
11) D
12)
D
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