Highlights
Task:
1. Tables used to display counts of a categorical variable are called:
A crosstabs
B contingency tables
C either crosstabs or contingency tables
D neither crosstabs nor contingency tables
2. A sample of 150 students at a state university was taken after the final business statistics exam to ask them whether they went partying the weekend before the final or spent the weekend studying, and whether they did well or poorly on the final. The following table contains the result.
Of those in the sample who went partying the weekend before the final exam, what percentage of them did well in the exam?
A Around 20%
B Around 25%
C Around 30%
D Around 35%
E Around 40%
3. Of those in the sample who did well on the final exam, what percentage of them went partying the weekend before the exam?
4. What percentage of the students in the sample went partying the weekend before the final exam and did well in the exam?
5. What percentage of the students in the sample spent the weekend studying and did well in the final exam?
6. If the sample is a good representation of the population, what percentage of those who spent the weekend studying should we expect to do poorly on the final exam?
7. We study relationships among numerical variables using:
A correlation
B covariance
C scatterplot charts
D all of these choices
E none of these choices
8. Correlation and covariance measure:
A the strength of a linear relationship between two numerical variables
B the direction of a linear relationship between two numerical variables
C the strength and direction of a linear relationship between two numerical variables
D the strength and direction of a linear relationship between two categorical variables
E none of these choices
9. The limitation of covariance as a descriptive measure of association is that it
A only captures positive relationships
B does not capture the units of the variables
C is very sensitive to the units of the variables
D is invalid if one of the variables is categorical
E none of these options
10. If the correlation of variables is close to 0, then we expect to see:
A an upward sloping cluster of points on the scatterplot
B a downward sloping cluster of points on the scatterplot
C a cluster of points around a trendline on the scatterplot
D a cluster of points with no apparent relationship on the scatterplot
E no explanation of how the scatterplot looks based on the correlation
11. Below you will find current annual salary data and related information for 30 employees at Gamma Technologies, Inc. These data include each selected employees gender (1 for female; 0 for male), age, number of years of relevant work experience prior to employment at Gamma, number of years of employment at Gamma, the number of years of post-secondary education, and annual salary. The tables of correlations and covariances are presented below.
Which two variables have the strongest linear relationship with annual salary?
12. For which of the two variables, number of years of prior work experience or number of years of post-secondary education, is the relationship with salary stronger?
13. How would you characterize the relationship between gender and annual salary?
14. One reason for standardizing random variables is to measure variables with:
A different means and standard deviations on a non-standard scale
B different means and standard deviations on a single scale
C dissimilar means and standard deviations in like terms
D similar means and standard deviations on two scales
15. The normal distribution is a:
A discrete distribution with two parameters
B binomial distribution with only one parameter
C density function of a discrete random variable
D continuous distribution with two parameters
16. The standard deviation of a probability distribution is a measure of:
A variability of the distribution
B central location
C relative likelihood
D skewness of the distribution
17. The weekly demand for General Motors (GM) car sales follows a normal distribution with a mean of 40,000 cars and a standard deviation of 12,000 cars.
There is a 5% chance that GM will sell more than a number of cars during the next year. What number is this?
18. Which of the following best describes the concept of probability?
A It is a measure of the likelihood that a particular event will occur.
B It is a measure of the likelihood that a particular event will occur, given that another event has
already occurred.
C It is a measure of the likelihood of the simultaneous occurrence of two or more events.
D None of these choices describe the concept of probability.
19. If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to:
A 0.0
B 0.5
C 1.0
D any value between 0.5 and 1.0
20. A function that associates a numerical value with each possible outcome of an uncertain event is called a:
A conditional variable
B random variable
C population variable
D sample variable
21. If P(A) = P(A|B), then events A and B are said to be:
A mutually exclusive
B independent
C exhaustive
D complementary
22. A sample of 1000 households was selected in Los Angeles to determine information concerning consumer behavior. Among the questions asked was “Do you enjoy shopping for clothing?” Overall, 720 answered yes. 480 males were interviewed, and 272 males answered
yes.
What is the probability that a household answered no?
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23. A sample of 1000 households was selected in Los Angeles to determine information concerning consumer behavior. Among the questions asked was “Do you enjoy shopping for clothing?” Overall, 720 answered yes. 480 males were interviewed, and 272 males answered
yes.
What is the probability that a respondent chosen at random enjoys shopping for clothing?
24. A sample of 1000 households was selected in Los Angeles to determine information concerning consumer behavior. Among the questions asked was “Do you enjoy shopping for clothing?” Overall, 720 answered yes. 480 males were interviewed, and 272 males answered
yes.
What is the probability that a respondent chosen at random is a female and enjoys shopping for clothing?
25. A sample of 1000 households was selected in Los Angeles to determine information concerning consumer behavior. Among the questions asked was “Do you enjoy shopping for clothing?” Overall, 720 answered yes. 480 males were interviewed, and 272 males answered
yes.
What is the probability that a respondent chosen at random is a male and does not enjoy shopping for clothing?
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