MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) A nurse measured the blood pressure of each person who visited her clinic. Following is a
relative-frequency histogram for the systolic blood pressure readings for those people aged
between 25 and 40. The blood pressure readings were given to the nearest whole number.
Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading
between 110 and 119 inclusive?
A) 3.5%
B) 35%
C) 30%
1)
D) 0.35%
Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in
the original data.
2) 19 6 19 15 14 5 18 15 13
2)
A) 5.2
B) 5.5
C) 1.7
D) 4.9
Find the median for the given sample data.
3) The temperatures (in degrees Fahrenheit) in 7 different cities on New Yearʹs Day are listed below.
26 29 33 59 67 68 78
Find the median temperature.
A) 67°F
B) 59°F
C) 51°F
D) 33°F
Use the empirical rule to solve the problem.
4) At one college, GPAʹs are normally distributed with a mean of 2.9 and a standard deviation of 0.6.
What percentage of students at the college have a GPA between 2.3 and 3.5?
A) 99.7%
B) 84.13%
C) 95%
D) 68%
1
3)
4)
Find the mean of the data summarized in the given frequency distribution.
5) The test scores of 40 students are summarized in the frequency distribution below. Find the mean
score.
Score Students
50-59
13
60-69
6
70-79
7
80-89
7
90-99
7
A) 64.6
B) 74.5
C) 68.2
5)
D) 71.8
Use the empirical rule to solve the problem.
6) The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120
mmHg and a standard deviation of 12 mmHg. What percentage of 18 -year-old women have a
systolic blood pressure between 96 mmHg and 144 mmHg?
A) 95%
B) 68%
C) 99.99%
D) 99.7%
Solve the problem.
7) The ages of the members of a gym have a mean of 48 years and a standard deviation of 11 years.
What can you conclude from Chebyshevʹs theorem about the percentage of gym members aged
between 19.4 and 76.6?
A) The percentage is at least 85.2%
B) The percentage is at most 85.2%
C) The percentage is approximately 61.5%
D) The percentage is at least 61.5%
Find the standard deviation of the data summarized in the given frequency distribution.
8) The test scores of 40 students are summarized in the frequency distribution below. Find the
standard deviation.
Score Students
50-59
5
60-69
13
70-79
5
80-89
8
90-99
9
A) 13.3
B) 12.6
C) 14.7
D) 14
6)
7)
8)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
9) Construct a Box plot: {1,2,4,6,8,2,10,12,14,16,23,12,17,20}
9)
10) Consider the sample {2,4,7,9,10,12,15}. Consider the Z-score of 10
10)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Express the indicated degree of likelihood as a probability value.
11) ʺThere is a 40% chance of rain tomorrow.ʺ
A) 40
B) 4
C) 0.60
2
11)
D) 0.40
Answer the question.
12) Which of the following cannot be a probability?
1
A) 1
B)
2
12)
C) -1
D) 0
Find the indicated probability.
13) A class consists of 79 women and 33 men. If a student is randomly selected, what is the probability
that the student is a woman?
79
79
33
1
B)
C)
D)
A)
112
33
112
112
14) The table below describes the smoking habits of a group of asthma sufferers.
Occasional Regular Heavy
Nonsmoker
smoker
smoker smoker Total
Men
367
50
65
47
529
Women
316
31
70
45
462
Total
683
81
135
92
991
13)
14)
If one of the 991 people is randomly selected, find the probability of getting a regular or heavy
smoker.
A) 0.229
B) 0.493
C) 0.136
D) 0.113
Solve the problem.
15) How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is
not allowed?
A) 343
B) 5
C) 6
D) 210
Find the indicated probability.
16) A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. Find P(not blue).
4
13
9
A)
B) 9
C)
D)
13
9
13
Solve the problem.
17) How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to
choose from?
A) 20,160
B) 40,320
C) 48
D) 720
Find the mean of the given probability distribution.
18)
x P(x)
0 0.23
1 0.20
2 0.37
3 0.06
4 0.14
A) μ = 1.91
B) μ = 1.68
15)
16)
17)
18)
C) μ = 1.81
3
D) μ = 1.58
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability
formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal
places.
1
19)
19) n = 4, x = 3, p =
6
A) 0.023
20) n = 10, x = 8 , p = 0.5
A) 0.057
B) 0.012
C) 0.015
D) 0.004
B) 0.066
C) 0.044
D) 0.004
20)
4
Answer Key
Testname: FINALPART_1
1) B
2) A
3) B
4) D
5) D
6) A
7) A
8) D
9)
10)
11) D
12) C
13) B
14) A
15) D
16) D
17) A
18) B
19) C
20) C
5