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1. Correlation is useful only for:

a.

assessing the weakness of a linear relationship

b.

conveying the same information in a simpler format than a scatterplot

c.

measuring the strength of a linear relationship

d.

automatically calculating covariances

e.

measuring the strength of a nonlinear relationship

2. Which of the following are considered numerical summary measures?

a.

mean and variance

b.

variance and correlation

c.

correlation and covariance

d.

covariance and variance

e.

first quartile and third quartile

3. One characteristic of “paired variables” is that:

a.

one variable is a negative value and the other is a positive value

b.

both variables are positive values

c.

each variable has the same number of observations

d.

each variable has a different number of observations

4. A line or curve superimposed on a scatterplot to quantify an apparent relationship is known as a(n):

a.

average

b.

trend line

c.

data point

d.

positive variable

e.

slope

A recent survey in Michigan revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.

5. probability distribution of X is

  1. Binomial with and .60
  2. Binomial with and .40
  3. Binomial with and .60
  4. Binomial with and .60

6. The P(X = 10).is

a. 0.003

b. 0.006

c. 0.112

d. 0.175

7. The P(4 < X < 9) is

a. 0.235

b. 0.025

c. 0.788

d. 0.450

8. The P(X = 2) is

a. 0.01

b. 0.11

c. 0.21

d. 0.35

9. The P(3X6) is

0.215

0.607

0.005

0.425

10. If the random variable X is exponentially distributed with parameter = 3, then P(X 2) , up to 4 decimal places, is:

a.

0.3333

b.

0.5000

c.

0.6667

d.

0.0025

11. If the random variable X is exponentially distributed with parameter = 1.5, then P(2X 4), up to 4 decimal places, is:

a.

0.6667

b.

0.0473

c.

0.5000

d.

0.2500

12. The Poisson and exponential distributions are commonly used in:

a.

inventory models

b.

financial models

c.

failure analysis models

d.

all of these choices

13. Which distribution is best-suited to measure the length of time between arrivals at a grocery checkout counter?

a.

uniform

b.

normal

c.

exponential

d.

Poisson

14. If the mean of an exponential distribution is 2, then the value of the parameter is:

a.

4

b.

2

c.

1

d.

0.5

15. The tool that provides useful information about a data set by breaking it down into categories is the:

a.

histogram

b.

scatterplot

c.

pivot table

d.

spreadsheet

16. The tables of counts that result from pivot tables are often called:

a.

samples

b.

sub-tables

c.

specimens

d.

crosstabs

17. The four areas of a pivot table are:

a.

Crosstabs, Fields, Rows, and Columns

b.

Data, Count, Contingency, and Percentage

c.

Filters, Rows, Columns, and Values

d.

Sort, Rows, Columns, and Count

18. Changing the location of fields in a pivot table is known as:

a.

slicing

b.

dicing

c.

sorting

d.

pivoting

A large retailer has purchased 10,000 DVDs. The retailer is assured by the supplier that the shipment contains no more than 1% defective DVDs (according to agreed specifications). To check the supplier’s claim, the retailer randomly selects 100 DVDs and finds six of the 100 to be defective.

19. (A) Assuming the supplier’s claim is true, the mean and the standard deviation of the number of defective DVDs in the sample respectively are:

a. 2, 0.75

b. 1, 0.995

c. 1, 0.75

d 2, 0.995

20. A Poisson distribution is:

a.

relevant when we sample from a population with only two types of members.

b.

relevant when we perform a series of independent, identical experiments with only two possible outcomes.

c.

usually relevant when we are interested in the number of events that occur over a given interval of time

d.

the cornerstone of statistical theory

e.

all of these choices

21. The Poisson random variable is a:

a.

discrete random variable with infinitely many possible values

b.

discrete random variable with finite number of possible values

c.

continuous random variable with infinitely many possible values

d.

continuous random variable with finite number of possible values

22. Which probability distribution applies to the number of events occurring within a specified period of time or space?

a.

binomial distribution

b.

Poisson distribution

c.

any discrete probability distribution

d.

any continuous probability distribution

23. If the random variable X is exponentially distributed with parameter = 3, then P(X 2) , up to 4 decimal places, is:

a.

0.3333

b.

0.5000

c.

0.6667

d.

0.0025

The possible annual percentage return of the stocks of Gamma, Inc. and Delta, Inc. share a common probability distribution, given below.

Probability

Return of Gamma, Inc.

Return of Delta, Inc.

0.05

36.2

-6.4

0.15

23.4

-1.8

0.30

15.18

6.9

0.20

6.2

12.4

0.15

-2.0

16.8

0.05

-4.2

30.2

24. The expected annual return of each stock are:

12.58 and 11.65

10.58 and 10.10

10.25 and 10.10

14.75 and 10.75

the annual returns of these two stocks positively associated with each other.

the annual returns of these two stocks negatively associated with each other

the annual returns of these two stocks not related with each other

the annual returns of these two stocks perfectly associated with each other

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