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- From: Mathematics, Applied Mathematics
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1. The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer, and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?
A. 24/883 or 0.027
B. 539/883 or 0.610
C. 24/333 or 0.072
D. 182/883 or 0.206
2. Twenty randomly selected statistics students were given 15 multiple-choice questions and 15 open-ended questions, all on the same material. The professor was interested in determining on which type of questions the students scored higher. This experiment is an example of
A. a one sample test of means
B. a two sample test of means
C. a paired t-test
D. a test of proportions
3. The shape of any uniform probability distribution is
A. negatively skewed
B. positively skewed
C. rectangular
D. bell shaped
4. What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
5. What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
6. The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
7. The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
8. The names of the positions in a corporation, such as chief operating officer or controller, are examples of what level of measurement?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
9. The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
10. Shoe sizes, such as 7B, 10D, and 12EEE, are examples of what level of measurement?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
11. Monthly commissions of first-year insurance brokers are ,270, ,310, ,680, ,380, ,410, ,570, ,180, and ,420. These figures are referred to as
A. a histogram
B. raw data
C. frequency distribution
D. frequency polygon
12. For a hypothesis test comparing two population means, the combined degrees of freedom are 24. Which of the following statements about the two sample sizes is NOT true? Assume the population standard deviations are equal.
A. Sample A=11 ; sample B = 13
B. Sample A=12 ; sample B = 14
C. Sample A=13 ; sample B = 13
D. Sample A=10 ; sample B = 16
13. For any data set, which measures of central location have only one value?
A. Mode and median
B. Mode and mean
C. Mode and standard deviation
D. Mean and median
14. A small sample of computer operators shows monthly incomes of ,950, ,775, ,060, ,840, ,795, ,890, ,925, and ,810. What are these ungrouped numbers called?
A. Histogram
B. Class limits
C. Class frequencies
D. Raw data
15. The sum of the deviations of each data value from this measure of central location will always be 0
A. Mode
B. Mean
C. Median
D. Standard deviation
16. For any data set, which measures of central location have only one value?
A. Mode and median
B. Mode and mean
C. Mode and standard deviation
D. Mean and median
17. A dot plot shows
A. the general shape of a distribution
B. the mean, median, and mode
C. the relationship between two variables
D. the interquartile range
18. The test scores for a class of 147 students are computed. What is the location of the test score associated with the third quartile?
A. 111
B. 37
C. 74
D. 75%
19. What is the chart called when the paired data (the dependent and independent variables) are plotted?
A. Scatter diagram
B. Bar chart
C. Pie chart
D. Histogram
20. If two events A and B are mutually exclusive, what does the special rule of addition state?
A. P(A or B) = P(A) + P(B)
B. P(A and B) = P(A) + P(B)
C. P(A and/or B) = P(A) + P(B)
D. P(A or B) = P(A) – P(B)
21. A listing of all possible outcomes of an experiment and their corresponding probability of occurrence is called a
A. random variable
B. probability distribution
C. subjective probability
D. frequency distribution
22. The mean of any uniform probability distribution is
For a standard normal distribution, what is the probability that z is greater than 1.75?
A. 0.0401
B. 0.0459
C. 0.4599
D. 0.9599
23. what value does the null hypothesis makes a claim about?
A. population parameter
B. sample statistic
C. sample mean
D. Type II error
24. What is the level of significance?
A. Probability of a Type II error
B. Probability of a Type I error
C. z-value of 1.96
D. Beta error
25. A sample of single persons receiving social security payments revealed these monthly benefits: 6, 9, ,087, 0, 9, and 5. How many observations are below the median?
A. 0
B. 1
C. 2
D. 3
26. The measurements of weight of 100 units of a product manufactured by two parallel processes have same mean but the standard of process A is 15 while that of B is 7. What can you conclude?
A. The weight of units in process A are grouped closer than in process B
B. The weight of units in process B is grouped closer than in process A
C. Both processes are out of control
D. More data is needed to draw a conclusion
27. Suppose we test the difference between two proportions at the 0.05 level of significance. If the computed z is -1.07, what is our decision?
A. Reject the null hypothesis
B. Do not reject the null hypothesis
C. Take a larger sample
D. Reserve judgment
28. Which of the following conditions must be met to conduct a test for the difference in two sample means?
A. Data must be at least of interval scale
B. Populations must be normal
C. Variances in the two populations must be equal
D. Data must be at least of interval scale and populations must be normal
29. What is the variable used to predict the value of another called?
A. Independent variable
B. Dependent variable
C. Correlation variable
D. Variable of determination
Solution Description

1. The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer, and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?

A. 24/883 or 0.027

B. 539/883 or 0.610

C. 24/333 or 0.072

D. 182/883 or 0.206

2. Twenty randomly selected statistics students were given 15 multiple-choice questions and 15 open-ended questions, all on the same material. The professor was interested in determining on which type of questions the students scored higher. This experiment is an example of

A. a one sample test of means

B. a two sample test of means

C. a paired t-test

D. a test of proportions

3. The shape of any uniform probability distribution is

A. negatively skewed

B. positively skewed

C. rectangular

D. bell shaped

4. What level of measurement is the number of auto accidents reported in a given month?

A. Nominal

B. Ordinal

C. Interval

D. Ratio

5. What type of variable is the number of robberies reported in your city?

A. Attribute

B. Continuous

C. Discrete

D. Qualitative

6. The general process of gathering, or