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Final Review Sheet:
1. _____ A population in statistics means a collection of all
A. Men and Women
B. B. Subjects or Objects of Interest
C. C. people living in a country
1. _____ A sample in statistics means a portion of the
A. People selected from the population of a country
B. People selected from the population of an area
C. Population of interest
2. _____ Five Friends go to a livery stable and select five horses to ride (each friend must choose a
different horse) is an example of
A. Sample with replacement
B. Sample without replacement
C. Population
3. _____ A box contains five balls of different colors. A ball is drawn from this box, its color is
recorded, and is put back into the box before the next ball is drawn. This is an example of
A. Sample with replacement
B. Sample without replacement
C. Population
4. _____ Identify which is a quantitative variable
A. Salaries of football players
B. Women’s favorite TV shows
C. Favorite breed of dog for each of 20 children
5. _____ A census is a survey that includes
A. A random sample of people
B. All members of a population
C. Only those people of interest to a study
6. _____ A discrete variable deals with
A. Values over a Certain Interval
B. Standard Normal data
C. Countable Values
7. _____ A continuous variable deals with
A. Values over a Certain Interval
B. Standard Normal data
C. Countable Values
8. _____ A collection of methods for organizing, displaying, and describing data using tables,
graphs, and summary measures is
A. Descriptive Statistics
B. Inferential Statistics
C. Bayesian Statistics
9. _____ A collection of methods that help make decisions about a population based on sample
results is
A. Descriptive Statistics
B. Inferential Statistics
C. Bayesian Statistics
10. _____A variable that can be measured numerically is a
A. Quantitative Variable
B. Qualitative Variable
C. Element
11. _____A variable that cannot assume numerical values but is classified into two or more
categories is a
A. Quantitative Variable
B. Qualitative Variable
C. Element
12. _____A sample is
A. The collection of all elements
B. A survey that includes all members
C. A portion of the population of interest
13. _____A survey deals with
A. A sample
B. A population
C. A member
14. _____A bar graph is used for
A. Qualitative data
B. Quantitative data
15. _____A histogram is used for
A. Qualitative data
B. Quantitative data
16. _____ The value of the middle term in a ranked data set is called the
A. Mean
B. Median
C. Mode
17. _____ Which of the following summary measures is/are influenced by extreme values(outliers)?
A. Mean
B. Median
C. Mode
18. _____Which of the following summary measures can be calculated for qualitative data?
A. Mean
B. Median
C. Mode
19. _____Which of the following can have more than one value?
A. Mean
B. Median
C. Mode
20. _____Which of the following is obtained by taking the difference between the largest and the
smallest values of a data set?
A. Variance
B. Range
C. Mean
21. _____Which of the following is the mean of the squared deviations of x values from the mean?
A. Standard Deviation
B. Population Variance
C. Sample Variance
22. _____The values of the variance and standard deviation are
A. Never Negative
B. Always Positive
C. Never Zero
23. _____A summary measure calculated for the population data is called
A. A population Parameter
B. A sample Statistics
C. Box-and-Whisker Plot
24. _____The empirical rule can be applied to
A. Any distribution
B. Bell-shaped distributions only
C. Skewed distributions only
25. _____The first quartile is a value in a ranked data set such that about
A. 75% of the values are smaller and about 25% are larger than this value
B. 50% of the values are smaller and about 50% are larger than this value
C. 25% of the values are smaller and about 75% are larger than this value
26. _____ The third quartile is a value in a ranked data set such that about
A. 75% of the values are smaller and about 25% are larger than this value
B. 50% of the values are smaller and about 50% are larger than this value
C. 25% of the values are smaller and about 75% are larger than this value
27. _____Which is not a measure of dispersion?
A. Range
B. Variance
C. Standard Deviation
D. Mean
28. _____Which is not a measure or central tendency?
A. Mean
B. Median
C. Range
29. _____Standard Deviation and Variance are measures of
A. Spread
B. The nth root
C. Average
30. _____A collection of all outcomes of an experiment is called
A. A sample space
B. The intersection of events
C. Joint probability
31. _____A final outcome of an experiment is called
A. A compound event
B. A simple event
C. A complementary event
32. _____A compound event includes
A. All final outcomes
B. Exactly two outcomes
C. More than one outcome for an experiment
33. _____Two equally likely events
A. Have the same probability of occurrence
B. Cannot occur together
C. Have no effect on the occurrence of each other
34. _____Which of the probability approaches can be applied only to experiments with equally
likely outcomes?
A. Classical probability
B. Empirical probability
C. Subjective probability
35. _____Two mutually exclusive events
A. Have the same probability
B. Cannot occur together
C. Have no effect on the occurrence of each other
36. _____Two independent events
A. Have the same probability
B. Cannot occur together
C. Have no effect on the occurrence of each other
37. _____The probability of an event is always
A. Less than 0
B. In the range 0 to 1.0
C. Greater than 1.0
38. _____The sum of the probabilities of all final outcomes of an experiment is always
A. 100
B. 1.0
C. 0
39. ______The joint probability of two mutually exclusive events is always
A. 1.0
B. Between 0 and 1
C. 0
40. ______For the probability distribution of a discrete random variable, the probability of any
single value of x is always
A. In the range 0 and 1
B. 1.0
C. Less than 0
41. ______For the probability distribution of a discrete random variable, the sum of probabilities of
all possible values of x is always
A. Greater than 1
B. 1.0
C. Less than 1
42. ______The parameters of a binomial experiment are
A. n, p, and q
B. n and p
C. n, p, and x
43. _____The mean and standard deviation of a binomial probability distribution with n=25 and
p=.20 are
A. 5 and 2
B. 8 and 4
C. 4 and 3
44. _____The binomial distribution is symmetric if
A. p < .5
B. p = .5
C. p > .5
45. _____The binomial distribution is skewed to the right if
A. p < .5
B. p = .5
C. p > .5
46. _____The binomial distribution is skewed to the left if
A. p < .5
B. p = .5
C. p > .5
47. _____The normal probability distribution is applied to
A. A continuous random variable
B. A discrete random variable
C. Any random variable
48. _____For a continuous random variable, the probability of a single random variable of x is
always
A. 0
B. 1.0
C. Between 0 and 1
49. _____Which of the following is not a characteristic of the normal distribution?
A. The total area under the curve is 1.0
B. The curve is symmetric about the mean
C. The two tails of the curve extend indefinitely
D. The value of the mean is always greater that the value of the standard deviation
50. _____The parameter of the normal distribution are
A. µ , z, and σ
B. µ and σ
C. σ, µ, and x
51. _____For the standard normal distribution
A. µ = 0 and σ = 1
B. µ = 1 and σ = 0
C. µ =10 0 and σ = 10
52. _____The z value for µ for a normal distribution is always
A. Positive
B. Negative
C. 0
53. _____The z value for an x value that is less than µ for a normal distribution is always
A. Positive
B. Negative
C. 0
54. ____Non-sampling errors are
A. The errors that occur because the sample size is too large in relation to the population size
B. The errors made while collecting, recording, and tabulating data
C. The errors that occur because an untrained person conducts the survey
55. _____A sampling error is
A. The difference between the value of a sample statistic based on a random sample and the
value of the corresponding population parameter
B. The error made while collecting, recording, and tabulating data
C. The error that occurs because the sample is too small
56. _____The mean of the sampling distribution of is always equal to
A. µ
B. µ - 5
C.
57. _____The standard deviation of the sampling distribution of the sample mean decreases when
A. x increases
B. n increases
C. n decreases
58. _____In a sample of 200 customers of a mail-order company, 172 are found to be satisfied with
the service they received from the company. The proportion of customers in this sample who
are satisfied with company’s service is
A. .87
B. .174
C. .148
59. _____When samples are selected from a normally distributed population, the sampling
distribution of the sample mean has a normal distribution
A. If n
30
B. If n/N ≤ .05
C. All the time
60. _____When samples are selected from a non-normally distributed population, the sampling
distribution of the sample mean has a normal distribution
A. If n
30
B. If n/N ≤ .05
C. All the time
61. _____A 95% confidence interval for µ can be interpreted to mean that if we take 100 samples of
the same size and construct 100 such confidence intervals for µ, then
A. 95 of them will not include µ
B. 95 will include µ
C. 95 will include
62. _____The margin of error of the estimate for µ is
A.
B.
C.
63. _____The parameter(s) of the t distribution is (are)
A. n
B. degrees of freedom
C. µ and degrees of freedom
64. _____A test of hypothesis is always about
A. A population parameter
B. A sample statistic
C. A test statistic
65. _____A Type I error is committed when
A. A null hypothesis is not rejected when it is actually false
B. A null hypothesis is rejected when it is actually true
C. An alternative hypothesis is rejected when it is actually true
66. _____A Type II error is committed when
A. A null hypothesis is not rejected when it is actually false
B. A null hypothesis is rejected when it is actually true
C. An alternative hypothesis is rejected when it is actually true
67. _____The significance level, denoted by α, is
A. The probability of committing a Type I error
B. The probability of committing a Type II error
C. Neither a or b
68. _____The smallest level of significance at which a null hypothesis is rejected is called
A. Α
B. P-value
C. Β
69. _____The random variable
assumes only
A. Positive values
B. Nonnegative Values
C. Nonpositive Values
70. _____The parameter(s) of the chi-square distribution is(are)
A. Degrees of freedom
B. df and n
C.
71. _____The degrees of freedom for a goodness-of-fit test are
A. n-1
B. k-1
C. n+k-1
72. _____The degrees of freedom for a test of independence are
A. (R-1)(C-1)
B. n-2
C. (n-1)(k-1)
73. _____A chi-square distribution is
A. Skewed right
B. Skewed left
C. Symmetric
74. _____A simple linear regression is a regression model that contains
A. Only one independent variable
B. Only one dependent variable
C. Both a and b
D.
75. _____The value of the coefficient of determination is always in the range
A. 0 to 1
B. -1 to 1
C. -1 to 0
76. _____The value of the correlation coefficient is always in the range
A. 0 to 1
B. -1 to 1
C. -1 to 0
D.
True or False:
77. ____ The coefficient of determination gives the proportion of total squared erros that is
explained by the use of the regression model.
78. ____ The linear correlation coefficient measures the strength of the linear association between
two variables.
79.
I.
II.
III.
IV.
V.
Match the type of design with the following stories:
Simple Random Sampling
Systematic Sampling
Stratified Random Sampling
Cluster Sampling
Convenience Sampling
A. _____ A person decides they want to interview all the students in SEL to find out whether they think
the class is hard. The person puts all the students’ names in a computer program, which picks names at
random, and the computer compiles a list of 30 students.
B.______ A person decides to study GPA’s of movie goers. He picks every 25th person who enters the
theater.
C. ______ A person wants to know the average grade of all students in SEL, so she asks all the students
in her class.
D. ______ A student wants to know the attitude towards cars on campus. She first breaks the list of all
students into freshman, sophomore, junior, senior, the makes random selections from each group.
E._______ A researcher wants to know the view of gas prices for US citizens. She breaks the US into 5
distinct subpopulations.
81. _____Given a p-value 0f .0122, what would your decision be for α = .05?
A . Reject
B. Fail to Reject
C. Not enough Information