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Statistics Midterm Exam
Name___________________________________
Determine whether the numerical value is a parameter or a statistic. Explain your reasoning.
1) (3 pts) The average salary of all assembly-line employees at a certain car manufacturer is
\$44,000.
A) Parameter
B) Statistic
Identify whether the statement describes inferential statistics or descriptive statistics.
2) (3 pts) The chances of winning the California Lottery are one chance in twenty-two million.
A) inferential statistics
B) descriptive statistics
Determine whether the data are qualitative or quantitative.
3) (3 pts) The number of complaint letters received by the United States Postal Service in a given
day
A) qualitative
B) quantitative
Identify the data set’s level of measurement.
4) (3 pts) The amounts of fat (in grams) in 37 cookies
A) interval
B) ratio
1)
2)
3)
4)
C) ordinal
5) (3 pts) numbers on the shirts of a girl’s soccer team
A) ratio
B) nominal
D) nominal
5)
C) ordinal
D) interval
Determine whether the study is an observational study or an experiment.
6) (3 pts) The personnel director at a large company would like to determine whether the company
cafeteria is widely used by employees. She calls each employee and asks them whether they
usually bring their own lunch, eat at the company cafeteria, or go out for lunch.
A) observational study
B) experiment
Identify the sampling technique used.
7) (3 pts) A community college student interviews everyone in a particular statistics class to
determine the percentage of students that own a car.
A) systematic
B) random
C) cluster
D) convenience
E) stratified
8) (3 pts) A researcher randomly selected 70 of the nation’s middle schools and interviewed all of
the teachers at each school.
A) systematic
B) random
C) convenience
D) stratified
E) cluster
1
6)
7)
8)
9) (3 pts) Classify the events as dependent or independent. The events of getting two aces when
two cards are drawn from a deck of playing cards and the first card is not replaced before the
second card is drawn.
A) dependent
B) independent
9)
10) (3 pts) Classify the statement as an example of classical probability, empirical probability, or
subjective probability. The probability that a newborn baby is a boy is 1 .
2
10)
A) classical probability
B) subjective probability
C) empirical probability
11) (3 pts) Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is
selected at random.
A: Their birthday is in the fall.
B: Their birthday is in October.
A) not mutually exclusive
B) mutually exclusive
11)
12) (3 pts) State whether the variable is discrete or continuous.
The number of goals scored in a soccer game
A) discrete
B) continuous
12)
Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your
reasoning.
13) (3 pts) You randomly select a computer from a batch of 50 which contains 3 defective computers. 13)
Event B is selecting a defective computer.
A) 3; Simple event because it is an event that consists of only one type of computer.
B) 3; Not a simple event because it is an event that consists of more than a single outcome.
C) 50; Not a simple event because it is an event that consists of more than a single outcome.
D) 1; Simple event because it is an event that consists of only one type of computer.
Provide an appropriate response.
14) (3 pts) Determine whether the approximate shape of the distribution in the histogram is
symmetric, uniform, skewed left, skewed right, or none of these.
A) skewed left
B) symmetric
C) skewed right
2
D) uniform
14)
15) (3 pts) Decide whether the experiment is a binomial experiment. If it is not, explain why.
Surveying 600 prisoners to see how many crimes in which they were convicted. The random
variable represents the number of crimes in which each prisoner was convicted.
A) Not a binomial experiment
B) Binomial experiment
16) (5 pts) The numbers of runs batted in that Sammy Sosa hit in the first 15 years of his
major league baseball career are listed below. Find the mean, median, and mode for the
number of runs batted in. Round the mean to the nearest whole number.
13
119
70
158
33
141
25
138
93
160
70
108
119
103
16)
100
17) (5 pts) Make a box and whisker plot for the data. Use the data to identify any outliers.
17)
15 18 18 19 22 23 24
24 24 24 25 26 26 27
28 28 30 32 33 40 42
The heights (in inches) of 30 adult males are listed below.
70
67
69
72
71
71
71
70
68
70
74
67
69
69
73
73
68
74
69
71
70
68
71
71
70
71
69
71
72
68
18) (5 pts) Construct a frequency distribution, a relative frequency distribution, and a
cumulative frequency distribution using five classes.
18)
19) (5 pts) Grade points are assigned as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Grades
are weighted according to credit hours. If a student receives an A in a four-credit class, a
D in a two-credit class, a B in a three-credit class and a C in a three-credit class, what is
19)
Use the fundamental counting principle to solve the problem.
20) (5 pts) How many license plates can be made consisting of 3 letters followed by 3 digits?
20)
21) (5 pts) A multiple-choice test has five questions, each with five choices for the answer.
Only one of the choices is correct. You randomly guess the answer to each question.
What is the probability that you answer the first two questions correctly?
21)
22) (5 pts) Eight guests are invited for dinner. How many ways can they be seated at a
dinner table if the table is straight with seats only on one side?
22)
23) (5 pts) Determine the probability distribution’s missing value.
The probability that a tutor sees 0, 1, 2, 3, or 4 students on a given day.
23)
x
0
1
2
3
4
P(x) ? 0.15 0.20 0.20 0.25
3
15)
24) (5 pts) The distribution of Master’s degrees conferred by a university is listed in the
table.
24)
Major
Frequency
Mathematics
216
English
207
Engineering
86
176
Education
291
What is the probability that a randomly selected student graduating with a Master’s
degree has a major of Education? Round your answer to three decimal places.
25) (5 pts) A group of students were asked if they carry a credit card. The responses are
listed in the table.
Class
Freshman
Sophomore
Total
25)
Credit Card Not a Credit Card
Carrier
Carrier
Total
14
46
60
18
22
40
32
68
100
If a student is selected at random, find the probability that he or she is a sophomore
given that the student owns a credit card. Round your answers to three decimal places.
26) (5 pts) The table lists the smoking habits of a group of college students.
26)
Sex
Non-smoker Regular Smoker Heavy Smoker Total
Man
135
38
5
178
Woman
187
21
7
215
Total
322
59
12
393
If a student is chosen at random, find the probability of getting someone who is a man
27) (5 pts) A test consists of 10 multiple choice questions, each with five possible answers,
one of which is correct. To pass the test a student must get 60% or better on the test. If a
student randomly guesses, what is the probability that the student will pass the test?
Use binmial distribution.
27)
28) (5 pts) A statistics professor finds that when he schedules an office hour at the 10:30 a.m.
time slot, an average of three students arrives. Use the Poisson distribution to find the
probability that in a randomly selected office hour no students will arrive.
28)
4