Statistics 20213 - Introduction to Statistics » Summer 2021 » Test 1 Chapters 1 to 3
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Question #1
Determine whether the given value is a statistic or a parameter. A survey found that 36% of all respondents voted in the past election.
A.
The value is a statistic because it is a numerical measurement describing some characteristic of a sample.
B.
The value is a statistic because it is a numerical measurement describing some characteristic of a population.
C.
The value is a parameter because it is a numerical measurement describing some characteristic of a population.
D.
The value is a parameter because it is a numerical measurement describing some characteristic of a sample.
Question #2
Determine whether the given value is from a discrete or a continuous data set. In an election, melissa received 17,110,123 votes.
A.
A discrete data set because there are a finite number of possible values..
B.
The value is from a continuous data set because the number of possible values is infinite and countable.
C.
The value is from a continuous data set because there are infinitely many possible values and those values cannot be counted.
D.
The data set is neither continuous nor discrete.
Question #3
Determine whether the given value is from a discrete or a continuous data set. When a van is randomly selected, it is found to have an engine with 8 cylinders.
A.
The value is from a continuous data set because the number of possible values is infinite and not countable.
B.
The value is from a discrete data set because the number of possible values is finite or countable.
C.
The data set is neither continuous nor discrete.
D.
The value is from a continuous data set because the number of possible values is infinite and countable.
Question #4
Determine which of the four levels of measurement ( nominal, ordinal, interval, ratio) is most appropriate for the data below. Ratings of hotels on a scale from 1 to 5 stars.
A.
The ordinal level of measurement is most appropriate because the data can be ordered, but differrences cannot be found or are meaningless.
B.
The interval level of measurement is most appropriate because the data can be ordered, differrences ( obtain by subtraction) can be found and are meaningful, and there is no natural starting point.
C.
The ratio level of measurement is most appropriate because the data can be ordered, differrences ( obtain by subtraction) can be found and are meaningful, and there is a natural starting point.
D.
The nominal level of measurement is most appropriate because the data cannot be ordered.
Question #5
Determine which of the four levels of measurement ( nominal, ordinal, interval, ratio) is most appropriate for the data below. Monthly temperatures:: 62˚F, 68˚F, 74˚F, 80˚F, and 86˚F.
A.
Ratio
B.
Nominal
C.
Interval
D.
Ordinal
Question #6
Determine which of the four levels of measurement ( nominal, ordinal, interval, ratio) is most appropriate for the data below. Explain what is wrong with the given calculation. In a survey, the favorite foods of respondents are identified as 10 for italian food, 20 for mexican food, 30 for chinese food, and 40 for anything else.The average ( mean ) is calculated for 729 respondents and the result is 22.3.
A.
Ordinal . Such data are not counts or measures of anything, so the average ( mean) has to be computed in a different way.
B.
Ratio. There is nothing wrong with the given calculation.
C.
Nominal . Such data are not counts or measures of anything, so it makes no sense to compute their average ( mean).
D.
Interval . The true average is 19.2.
Question #7
Determine whether the description below corresponds to an observational study or an experiment. Researcher is conducted to determine if there is a relation between kidney function in adults and childhood - onset diabetes.
A.
Experiment
B.
Observational study
Question #8
Identify the type of observational study. A researcher plans to obtain data by interviewing spouses of victims who perished in a bombing. He will interview them, and people unrelated to the victims, over the next 10 years to see how closeness to a traumatic event might affect recovery time.
A.
Prospective
B.
Cross-sectional.
C.
Retrospective
Question #9
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag.
A.
Cluster
B.
Convenience
C.
Systematic
D.
Random
E.
Stratified
Question #10
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. An education researcher randomly selects 48 middle schools and interviews all the teachers at each school.
A.
Cluster
B.
Stratified
C.
Random
D.
Systematic
E.
Convenience
Question #11
Solve the problem. A student earned grades of C, A, B, and A. Those courses had these corresponding numbers of credit hours: 3, 5, 2, and 5. The grading system assigns quality points to letter grades as follows: A=4, B=3, C=2, D=1 and F=0. Compute the grade point average (GPA) and round the result to two decimal places.
A.
10.00
B.
4.00
C.
2.33
D.
3.47
Question #12
Find the mode(s) for the given sample data. The speeds (in mi/h) of the cars passing a certain checkpoint are measured by radar. The results are shown below. 41.8 41.4 44.4 43.7 45.3 45.3 41.4 40.0 47.8 43.7 41.8 40.0 43.7 39.7 41.4 44.1 44.1 44.4 48.8 41.8
A.
42.3
B.
41.4
C.
41.8, 43.7, 41.4
D.
41.80
Question #13
Solve the problem. A student earned grades of 77, 82, 85, and 92 on her four regular tests. She earned a grade of 75 on the final exam and 75 on her class projects. Her combined homework grade was 89. The four regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10%, and homework counts for 20%. What is her weighted mean grade? Round to one decimal place.
A.
82.10
B.
81.4
C.
82.80
D.
80.4
Question #14
Use the empirical rule to solve the problem. At one college, GPA's are normally distributed with a mean of 2.7 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.1 and 3.3?
A.
100%
B.
95%
C.
84%
D.
68%
Question #15
Solve the problem. A company performs quality control on its juice bottles. It finds that the volumes of juice in its 16 ounce bottles have a mean of 16.1 ounces and a standard deviation of 0.09 ounces. Use the range rule of thumb to estimate the minimum and maximum "usual" volumes.
A.
15.87 ounces, 15.97 ounces
B.
15.92 ounces, 16.28 ounces
C.
16.01 ounces, 16.19 ounces
D.
15.83 ounces, 16.37 ounces
Question #16
Which is relatively better: a score of 76 on a psychology test or a score of 52 on an economics test? Scores on the psychology test have a mean of 88 anda standard deviation of 5. Scores on the economics test have a mean of 54 anda standard deviation of 6.
A.
The psychology test score is relatively better because its z-score is less than the z-score for the economics test.
B.
The economics test score is relatively better because its z-score is greater than the z-score for the psychology test.
C.
The economics test score is relatively better because its z-score is less than the z-score for the psychology test.
D.
The psychology test score is relatively better because its z-score is greater than the z-score for the economics test.
Question #17
Which is relatively better: a score of 64 on a psychology test or a score of 31 on an economics test? Scores on the psychology test have a mean of 85 anda standard deviation of 7. Scores on the economics test have a mean of 48 anda standard deviation of 9.
A.
The psychology test score is relatively better because its z-score is greater than the z-score for the economics test.
B.
The economics test score is relatively better because its z-score is less than the z-score for the psychology test.
C.
The psychology test score is relatively better because its z-score is less than the z-score for the economics test.
D.
The economics test score is relatively better because its z-score is greater than the z-score for the psychology test.
Question #18
Find the percentile for the data value. In a data set with a range of 64 to 115.2 and 300 observations, there are 207 observations with values less than 88.8. Find the percentile for 88.8.
A.
496
B.
129.73
C.
32
D.
69
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