# apu math302 midterm exam done on april 2015

Question 1 of 25

1.0/ 1.0 Points

If you classified the fruit in a basket as apple, orange, or

banana, this would be an example of which level of measurement?

A.interval

B.ordinal

C.ratio

D.nominal

Part 2 of 9 – 2.0/

2.0 Points

Question 2 of 25

1.0/ 1.0 Points

If two events are mutually exclusive, what is the

probability that one or the other occurs?

A.0.25

B.Cannot be determined from the information

given.

C.0.50

D.1.00

Question 3 of 25

1.0/ 1.0 Points

The staff at a small company includes: 4 secretaries, 20

technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is

selected at random, what is the probability that he or she is a factory worker?

A.5/8

B.2/5

C.1/8

D.1/4

Part 3 of 9 – 2.0/

3.0 Points

Question 4 of 25

1.0/ 1.0 Points

A die is rolled 360 times. Find the standard deviation for

the number of 3s that will be rolled.

A.60

B.50

C.7.1

D.5.9

Question 5 of 25

1.0/ 1.0 Points

A researcher surveyed college students to study their

opinion about the proposed change in smoking rules. The researcher asked a

group of 30 students: 12 of them supported the change, 13 of them did not, and

5 had no opinion. This is not a binomial model because…

A….the students who

strongly supported the change and those who only mildly supported the change

are counted the same.

B….less than half

of the students supported the change.

C.30 students are not

enough for a good sample

D….there are 3 possible outcomes, not 2.

Question 6 of 25

0.0/ 1.0 Points

Suppose that 50 identical batteries are being tested. After

8 hours of continuous use, assume that a given battery is still operating with

a probability of 0.70 and has failed with a probability of 0.30.

What is the probability that greater than 30 batteries will

last at least 8 hours?

In A.0.0848

B.0.9152

C.0.8594

D.0.9522

Part 4 of 9 – 5.0/

6.0 Points

Question 7 of 25

1.0/ 1.0 Points

One reason for standardizing random variables is to measure

variables with:

A.different means and

standard deviations on a non-standard scale

B.similar means and

standard deviations on two scales

C.dissimilar means

and similar standard deviations in like terms

D.different means and standard deviations on a

single scale

Question 8 of 25

1.0/ 1.0 Points

If Z is a standard normal random variable, then the value z

for which P(-z < Z < z) equals 0.8764 is
A.3.08
B.1.54
C.0.3764
D.1.16
Question 9 of 25
1.0/ 1.0 Points
In a normal distribution, changing the standard deviation:
A.splits the
distribution to two curves
B.shifts the curve
left or right
C.makes the curve
more robust
D.makes the curve more or less spread out
Question 10 of 25
1.0/ 1.0 Points
Given that the random variable X is normally distributed
with a mean of 80 and a standard deviation of 10, P(85 < X < 90) is
A.0.1498
B.0.5328
C.0.3413
D.0.1915
Question 11 of 25
1.0/ 1.0 Points
The continuous distribution characterized by a symmetric,
bell-shaped curve is the:
A.Poisson
distribution
B.binomial
distribution
C.normal distribution
D.exponential
distribution
Question 12 of 25
0.0/ 1.0 Points
The standard deviation of a probability distribution is a:
A.measure of skewness
of the distribution
B.measure of
variability of the distribution
C.measure of relative
likelihood
In
D.measure of central location
Part 5 of 9 - 1.0/
1.0 Points
Question 13 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
A statistics professor has just given a final examination in
his statistical inference course. He is particularly interested in learning how
his class of 40 students performed on this exam. The scores are shown below.
77 81 74 77 79 73 80 85 86 73
83 84 81 73 75 91 76 77 95 76
90 85
92 84 81 64 75 90 78 78
82 78 86 86 82 70 76 78 72 93
What is the mean score on this exam? Place your answer, rounded to two decimal
places in the blank. For example, 65.78 would be a legitimate entry. 80.40
Question 14 of 25
0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
The following data were obtained from a survey of college
students. The variable X represents the number of non-assigned books read during
the past six months.
x
0
1
2
3
4
5
6
P (X=x)
0.55
0.15
0.10
0.10
0.04
0.03
0.03
Find P(1 < X < 5).
Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate
entry. 1.14
Answer Key: 0.24
Question 15 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
In February 2002 the Argentine peso lost 70% of its value
compared to the United States dollar. This devaluation drastically raised the
price of imported products. According to a survey conducted by AC Nielsen in
April 2002, 68% of the consumers in Argentina were buying fewer products than
before the devaluation, 24% were buying the same number of products, and 8%
were buying more products. Furthermore, in a trend toward purchasing
less-expensive brands, 88% indicated that they had changed the brands they
purchased. Suppose the following complete set of results were reported. Use the
following data to answer this question.
Number of Products Purchased
Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400
What is the probability that a consumer selected at random
purchased fewer products than before? Place your answer, rounded to 4 decimal
places, in the blank. 0.6800
Question 16 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
Suppose that a marketing firm sends questionnaires to two
different companies. Based on historical evidence, the marketing research firm
believes that each company, independently of the other, will return the
questionnaire with a probability of 0.30. What is the probability that only one
of the questionnaires will be returned? Place your answer, rounded to 2 decimal
places, in the blank. For example, 0.23 is a legitimate entry. 0.42
Question 17 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
If you have six books, but there is room for only four books
on the shelf, in how many ways can these books be arranged on the shelf? Place
your answer in the blank. Do not use any decimal places or commas. For example,
45 would be a legitimate entry. 360
Part 8 of 9 - 4.0/
6.0 Points
Question 18 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
Scores on a mathematics examination appear to follow a
normal distribution with mean of 65 and standard deviation of 15. The
instructor wishes to give a grade of “C” to students scoring between the 60th
and 70th percentiles on the exam.
What score represents the 70th percentile score on the
mathematics exam? Place your answer in the blank, rounded to a whole number.
For example, 62 would be a legitimate entry.
73
Question 19 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
Suppose that the average weekly earnings for employees in
general automotive repair shops is $450, and that the standard deviation for
the weekly earnings for such employees is $50. A sample of 100 such employees
is selected at random.
Find the probability that the mean of the sample is greater
than $460. Place your answer, rounded to 4 decimal places, in the blank. For
example, 0.2345 would be a legitimate answer.
0.0228
Question 20 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
Suppose that the average weekly earnings for employees in
general automotive repair shops is $450, and that the standard deviation for
the weekly earnings for such employees is $50. A sample of 100 such employees
is selected at random.
Find probability that the mean of the sample is less than
$445. Place your answer, rounded to 4 decimal places, in the blank. For
example, 0.2345 would be a legitimate entry.
.1587
Question 21 of 25
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
In a particular region of Cape Cod, it is known that
lobstermen trap on average of 32 pounds of lobster per day with a standard
deviation of four pounds. If a random sample of 30 lobster fishermen is selected,
what is the probability that their average catch is less than 31.5 pounds?
Place your answer, rounded to four decimal places, in the
blank. 0.2468 When entering your answer do not use any
labels or symbols other than a decimal point. Simply provide the numerical
value. For example, 0.1234 would be a legitimate entry.
Question 22 of 25
0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
A Wendy’s fast-food restaurant sells hamburgers and chicken
sandwiches. On a typical weekday, the demand for hamburgers is normally
distributed with a mean of 450 and standard deviation of 80 and the demand for
chicken sandwiches is normally distributed with a mean of 120 and standard
deviation of 30.
How many chicken sandwiches must the restaurant stock to be
99% sure of not running out on a given day? Place you answer, rounded to the
nearest whole number in the blank. For example, 345 would be a legitimate
entry. 140
Question 23 of 25
0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
Suppose that the average weekly earnings for employees in
general automotive repair shops is $450, and that the standard deviation for
the weekly earnings for such employees is $50. A sample of 100 such employees
is selected at random.
Find the mean of the sampling distribution of the means of
average weekly earnings for samples of size 100. Place your answer in the
blank. Do not include a dollar sign. For example, 123 would be a legitimate
entry. 5
Part 9 of 9 - 1.0/
2.0 Points
Question 24 of 25
0.0/ 1.0 Points
A random variable X is normally distributed with a mean of
100 and a variance of 25. Given that X = 110, its corresponding Z- score is
0.40.
In
True
False
Question 25 of 25
1.0/ 1.0 Points
If Z is a standard normal variable, then P(Z = 1) = 0.3413.
True
False

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