Reference no: EM131082649

QUESTION 1

1. The United Nations Development Programme website provides comparative data by country on key metrics, such metrics as life expectancy over time. The table below show data on life expectancy over time in the United States

Which of the following statements are not true based on the scatterplot of U.S. Life Expectancy over time?

The life expectancy in the U.S. is increasing over time

U.S. citizens lived fewer years in 2010 than they did in in 2008

The scatterplot shows an increasing trend in life expectancy in the U.S.

Based on the scatterplot, one can assume the life expectancy in 2014 will be higher than 78 years

All of the above statements are true

QUESTION 2

1. An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased. Based on the following joint probability table that was developed from the dealer's records for the previous year, P (Male) = ________

Type of Buyer Gender

Vehicle Female Male Total

SUV

Not SUV .32 .48

Total .40 1.00

0.50

0.20

0.48

0.60

0.02

QUESTION 3

1. Richard Cribb, Marketing Director of a regional restaurant chain, is directing a study to identify and assess the in-dining experience of the customers at one of the restaurants. He directs his staff to design a web-based market survey for distribution to all of the restaurant's 1265 customers who enjoyed a meal during the past 6 months. For this study, the set of 1265 customers is __

a sample

the population

a statistic

a parameter

the frame

QUESTION 4

1. A question in a survey of microcomputer users asked: "Which operating system do you use most often: a. Apple OS 7, b. MS DOS, c. MS Windows 95, d. UNIX." The measurement level for this question is

nominal level

interval level

relative level

ordinal level

ratio level

QUESTION 5

1. Thuy has been asked to rank five cars based upon their desirability. This level of measurement is

relative level

nominal level

ratio level

ordinal level

interval level

QUESTION 6

1. A large manufacturing company in Indianapolis produces valves for the chemical industry. According to specifications, one particular valve is supposed to have a five-inch opening on the side. Quality control inspectors take random samples of these valves just after the hole is bored. They measure the size of the hole in an effort to determine if the machine is out of adjustment. The measurement of the diameter of the hole represents which level of data?

Ratio level

Ordinal level

Central level

Nominal level

Interval level

QUESTION 7

1. An instructor made a frequency table of the scores his students got on a test

Score Frequency

30-under 40 1

40-under 50 4

50-under 60 5

60-under 70 10

70-under 80 20

80-under 90 10

90-under 100 5

Approximately what percent of students got more than 70?

36

10

20

50

64

QUESTION 8

1. Consider the following frequency distribution:

Class Interval Frequency

10-under 20 15

20-under 30 25

30-under 40 10

What is the relative frequency of the first class?

0.30

0.10

0.40

0.20

0.15

QUESTION 9

1. Consider the relative frequency distribution given below:

Class Interval Relative Frequency

20-under 40 0.2

40-under 60 0.3

60-under 80 0.4

80-under 100 0.1

There were 60 numbers in the data set. How many numbers were in the interval 20-under 40?

15

40

20

12

10

QUESTION 10

1. The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school:

Salary Number of Graduates

($1,000s)

28-under 31 -

31-under 35 -

34-under 37 -

39-under 340 -

Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?

There are too many intervals

The second and the third interval overlap

The class widths are too large

There are too few intervals

The class widths are too small

QUESTION 11

1. The number of phone calls arriving at a switchboard each hour has been recorded, and the following frequency distribution has been developed.

Class Interval Frequency

20-under 40 30

40-under 60 45

60-under 80 80

80-under 100 45

What is the cumulative frequency of the third class?

105

80

0.40

75

155

QUESTION 12

1. An instructor made a frequency table of the scores his students got on a test

Score Frequency

30-under 40 1

40-under 50 4

50-under 60 5

60-under 70 10

70-under 80 20

80-under 90 10

90-under 100 5

The midpoint of the last class interval is _________.

100

50

90

95

5

QUESTION 13

1. Mary has decided to construct a frequency distribution for a set of data containing 60 numbers. The lowest number is 23 and the highest number is 68. If 5 classes are used, the class width should be approximately

4

8

9

5

12

QUESTION 14

1. The cumulative frequency for a class is 27. The cumulative frequency for the next (non-empty) class will be

next class frequency minus 27

27 minus the next class frequency

equal to 27

less than 27

27 plus the next class frequency

QUESTION 15

1. Each day, the office staff at Oasis Quick Shop prepares a frequency distribution and an ogive of sales transactions by dollar value of the transactions. Saturday's cumulative frequency ogive follows.

The percentage of sales transactions on Saturday that were under $100 each was

20

10

15

100

80

QUESTION 16

1. Each day, the manager at Gyasi's Auto Care prepares a frequency distribution and a histogram of sales transactions by dollar value of the transactions. Friday's histogram follows.

On Friday, the approximate number of sales transactions between $150 and $175 was

300

200

400

75

500

QUESTION 17

1. The following represent the ages of students in a class:

19, 23, 21, 19, 19, 20, 22, 31, 21, 20

If a stem and leaf plot were to be developed from this, how many stems would there be?

4

2

10

5

3

QUESTION 18

1. The following graphic of PCB Failures is a _____________.

Cumulative Histogram Chart

Pareto Chart

Scatter Plot

Line diagram

Pie Chart

QUESTION 19

1. Melissa made the following grades on 7 tests: 76, 82, 92, 95, 79, 86, and 92. What is the median grade?

86

76

82

95

94

QUESTION 20

1. Anthony travels many miles to work each morning. He has timed this trip 5 times during the last month. The time (in minutes) required to make this trip was 38, 33, 36, 47, and 41. What is the standard deviation for this sample data? (Hint can use Excel function for this one, or calculate it on your own)

4.77

5.34

22.8

28.5

11

QUESTION 21

1. Craig made the following grades on 7 tests: 76, 82, 92, 95, 79, 86, and 92. What is the mode?

76

86

79

82

92

QUESTION 22

1. The empirical rule says that approximately what percentage of the values would be within 2 standard deviations of the mean in a bell shaped (normal curve) set of data?

100%

95%

97.7%

68%

50%

QUESTION 23

1. The number of standard deviations that a value (x) is above or below the mean is the

interquartile range

z score

correlation coefficient

absolute deviation

coefficient of variation

QUESTION 24

1. Priscilla manages a portfolio of 200 common stocks. Her staff classified the portfolio stocks by 'industry sector' and 'investment objective.'

Investment Industry Sector

Objective Electronics Airlines Healthcare Total

Growth 100 10 40 150

Income 20 20 10 50

Total 120 30 50 200

2. If a stock is selected randomly from Priscilla's portfolio, P (Growth) =

0.67

0.75

0.50

0.83

0.90

QUESTION 25

1. Assigning probability 1/52 on drawing the ace of spade in a deck of cards is an example of assigning probabilities using the _________ method

a posterior probability

relative frequency

a priori probability

subjective probability

classical probability

QUESTION 26

1. Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. F ∩ H is ______

{Meagan}

empty, since F and H are complements

empty, since F and H are mutually exclusive

{Betty, Patty, Abel, Meagan}

empty, since F and H are independent

QUESTION 27

1. Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. F ∪ H is

{Meagan}

empty, since F and H are complements

{Betty, Abel, Patty, Meagan}

empty, since F and H are independent

empty, since F and H are mutually exclusive

QUESTION 28

1. If X and Y are mutually exclusive events, then if X occurs

X and Y are independent

A and Y are collectively exhaustive

X and Y are complements

Y must also occur

Y cannot occur

QUESTION 29

1. Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course. It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and finance. A student is randomly selected, what is the probability that the student is enrolled in either finance or statistics or both?

0.15

0.90

0.55

0.75

0.60

QUESTION 30

1. (Hint: can use Excel or table on page 792) Thuy counts the number of cars arriving at a toll booth in five-minute intervals, which is Poisson distributed with a mean of 3 cars arriving in five-minute time intervals. The probability of 3 cars arriving over a five-minute interval is _______. Hint: the mean is lambda

0.0498

0.2700

0.0001

0.2240

0.0020

QUESTION 31

1. (Hint: you can use table on p 786 or Excel) Dennis Metz, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an inspection of a random sample of vouchers issued since January 1, 2006. A sample of ten vouchers is randomly selected, without replacement, from the population of 2,000 vouchers. Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x. If 20% of the population of vouchers contain errors, P(x>0) is

0.3020

0.1074

1.0000

0.8926

0.8171

QUESTION 32

1. (hint you can use table on p 785 or Excel) Thuy randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that she misses no questions?

0.000

0.200

0.031

0.500

1.000

QUESTION 33

1. (hint: you can use table on p 785 or Excel). Mary randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that she misses exactly 1 question?

0.031

0.001

0.200

0.156

0.073

QUESTION 34

1. (hint: you can use table on p 785 or Excel) Mary purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are non-authentic, and x is the number of non-authentic names in her sample, P(x=0) is

0.5000

0.0467

0.0778

0.4000

0.8154

QUESTION 35

1. The number of finance majors within the School of Business is an example of

the normal distribution

the Poisson distribution

a constant

a discrete random variable

a continuous random variable

QUESTION 36

1. A recent analysis of the number of rainy days per month found the following outcomes and probabilities.

Number of Raining Days (x) P(x)

3 .40

4 .20

5 .40

The mean of this distribution is

<1

2

3

5

4

QUESTION 37

1. Mary and Thuy opened a small dress store in a mall. During the first few weeks, business was slow, with the store averaging only 3 customers per hour in the morning (lambda). Assume that the random arrival of customers is Poisson distributed. What is the probability that at least one hour would elapse between customers? Hint: this is similar to p213 problem 6.29

.0634

.0498

.0512

.0399

QUESTION 38

1. Find the probability for the following expoential distribution: P(x > 3½ λ = 1.3):

Hint: this is similar to problem 6.29 on page 213

.0211

.0324

.0202

.0390

QUESTION 39

1. If the number of parking spots at grocery stores is uniformly (hint) distributed over the interval 90 to 140, inclusively (90 ≤ x ≤ 140), inclusively (90 ≤ x ≤ 140), then the mean of this distribution is _

45

230

115

unknown

70

QUESTION 40

1. If the number of parking spots at urban grocery stores is uniformly (hint) distributed over the interval 90 to 140, inclusively (90 ≤ x ≤ 140), then the standard deviation of this distribution is

4.16

7.07

50

28.2

14.4

QUESTION 41

1. (hint: you can use the front cover table) Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z > 2.4)?

0.0820

0.4793

0.9918

0.4918

0.0082

QUESTION 42

1. During the summer at a small private airport, the unscheduled arrival of airplanes is Poisson distributed with an average arrival rate of 1.12 plane per hour. What is the average interarrival time between planes? (Hint: lambda is the average arrival rate)

.89 hr, or 53.4 minutes

.56 hr, or 32 minutes

.25 hr or 15 minutes

.83 hr, or 50 minutes

QUESTION 43

1. The exponential distribution is an example of

a symmetrical distribution

a bimodal distribution

a discrete distribution

a normal distribution

a continuous distribution.