Question
2. . Is this value from a discrete or continuous data set. The average weight of newborn babies in ounces A. Qualitative (Categorical) B. Quantitative
2. . Is this value from a discrete or continuous data set.
The average weight of newborn babies in ounces
A. Qualitative (Categorical)
B. Quantitative - Continuous
C. Quantitative - Discrete
3. Determine if the following is an example of descriptive or inferential statistics.
85 randomly selected fifty-year-old Americans were asked how much money they had saved for their retirement. The average for these respondents was $25,000, the minimum was $0 and the maximum was $1,200,000.
A. Descriptive Statistics
B. Inferential Statistics
4. A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
___________-abcdef The 65 restaurant patrons whose receipts were observed by the owner
___________-abcdef The list of the 65 Yes or No answers for whether each customer ordered dessert.
______________-abcdef The proportion of the 65 randomly selected customers who ordered dessert
_____________-abcdef The answer: Yes or No to whether a customer ordered dessert
_____________-abcdef The proportion of all customers who order dessert
______________-abcdef All customers who come to the restaurant
- Population
- Parameter
- Statistic
- Data
- Variable
- Sample
5. Researchers are studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (heads or tails) on a paper sheet, and said they would only reward children who report heads. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group.
a) Identify the population of interest in the study.
- 160 children between the ages of 5 and 15
- 80 children between the ages of 5 and 15 who were told not to cheat
- The researchers
- All children between the ages of 5 and 15
b) Identify the sample for this study.
- All children between the ages of 5 and 15
- 160 children between the ages of 5 and 15
- The researchers
- 80 children between the ages of 5 and 15 who were told not to cheat
c) Can the results of the study can be generalized to the population? Should the findings of the study can be used to establish causal relationships.
- If the sample is randomly selected and representative of the entire population, then the results can be generalized to the target population. Furthermore, since this study is observational, the findings can be used to infer causal relationships.
- If the sample is randomly selected and representative of the entire population, then the results can be generalized to the target population. Furthermore, since this study is experimental, the findings cannot be used to infer causal relationships.
- If the sample is randomly selected and representative of the entire population, then the results can be generalized to the target population. Furthermore, since this study is experimental, the findings can be used to infer causal relationships.
- If the sample is randomly selected and representative of the entire population, then the results can be generalized to the target population. Furthermore, since this study is observational, the results cannot be used to infer causal relationships.
6. Political pollsters may be interested in the proportion of people that will vote for a particular cause. Match the vocabulary word with its corresponding example.
____________-abcdef The proportion of the 750 survey participants who will vote for the cause
___________-abcdef The proportion of all voters from the district who will vote for the cause
______________-abcdef The 750 voters who participated in the survey
___________-abcdef All the voters in the district
________-abcdef The answer Yes or No to the survey question
________________-abcdef The list of 750 Yes or No answers to the survey question
- Parameter
- Sample
- Statistic
- Variable
- Data
- Population
7. A rancher is interested in the average age that a cow begins producing milk. Match the vocabulary word with its corresponding example.
_____________________-abcdef The 62 milk cows that were observed by the rancher
__________-abcdef The age when a milk cow first produced milk
__________-abcdef The average age for the 62 observed milk cows as they first produced milk
__________-abcdef The average age that all milk cows are when they first produce milk
_______________-abcdef All milk cows
_____________-abcdef The list of the 62 ages
- Parameter
- Data
- Population
- Variable
- Statistic
- Sample
8. A researcher wants to survey 2000 Americans for an obesity study. Match the strategies to their corresponding sampling techniques.
__________-abcde The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
_________-abcde The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
_________-abcde The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
__________-abcde The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
________________-abcde The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
- Cluster Sampling
- Convenience Sampling
- Stratified Sampling
- Simple Random Sampling
- Systematic Sampling 9. In a study, the sample is chosen by pulling 20 names from a bag What is the sampling method? _______________________Simple Random _________Systematic _______________Stratified _______________Cluster ___________Convenience
10. In a study, the data you collect is Habits on a Always/Sometimes/Never scale. What is the level of measurement?
________________nominal
_________ordinal
__________interval
__________ratio
11. Does this describe an observational study or an experiment? A drug is given to a group of people, and their reactions observed
a. Experiment
b. Observational Study 12. A team of researchers is testing the effectiveness of a new HPV vaccine. They randomly divide the subjects into two groups. Group 1 receives new HPV vaccine, and Group 2 receives a placebo. Neither the patients or the doctors examining them knew which group they were in. Which is the treatment group?
- ______Group 1
- _______Group 2
- _______Neither group
Which is the control group (if there is one)?
- _______Group 1
- ________Group 2
- ______No control group
Is this study blind, double blind, or neither?
- _______Blind
- ________Double-blind
- ________Neither 13. Match the following vocabulary terms with the corresponding definitions.
Vocabulary Terms
- -abcde experiment
- -abcde experimental units
- -abcde retrospective study
- -abcde treatment
- -abcde observational study
Definitions
- a study in which data is collected without anything being done to the subjects
- experimental conditions imposed on the subjects
- a study in which a treatment is applied and responses are observed
- a study in which data from the past is examined
- The people, animals or things on whom experiments are performed
14. As part of a statistics project, Charlie would like to collect data on household size in his city. To do so, he asks each person in his statistics class for the size of their household and reports the results of a simple random sample. However, this is not a simple random sample. Why?
- Charlie did not use any randomization; he took a convenience sample.
- Charlie did not use a random number table to randomize the order in which he collected the students' responses, so the sample cannot be random.
- In this investigation of household size, each household represents a case. Charlie incorrectly sampled individuals instead of households.
- Both (a) and (c) are correct.
- Answers (a), (b), and (c) are all correct.
15. Which of the following are reasons that a sampling technique may not be scientific. Choose all that apply.
- Self-Selected Sample
- The sample statistic is not exactly equal to the population parameter
- The sample size is too small
- The wording of survey question influences the response
- The sample is not representative of the population
16. Determine whether the following is an example of a sampling error or a non sampling error.
A researcher studied brother-sister pairs to see if there is a difference in IQ scores. Although the researcher made no mistakes in collecting the data, the findings showed that there was a difference when in reality there is no difference in IQ based on gender.
- Non Sampling Error
- Sampling Error
17. Which of the following are reasons that a sampling technique may not be scientific. Choose all that apply.
- The researcher was not able to survey every individual from the population
- People who were asked refused to answer
- The graphs are drawn in a way to mislead the reader
- Two factors cannot be separated to determine which is the one that is responsible for the outcome
- The funders of the project are partial to the results
- Trying to conclude that there is a cause-and-effect relationship when something else causes both
18. Would the following method produce a random sample? Separating all books by subjects such that there are an equal number of books on each subject, and selecting 4 from each subject grouping
- Yes
- No
19. If the sample size is much smaller than the population size, say 20 times smaller, then random sampling with replacement and random sampling without replacement are nearly equivalent.
- True
- False
20. Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.
Lengths (mm) | Frequency |
---|---|
140 - 149 | 1 |
150 - 159 | 16 |
160 - 169 | 71 |
170 - 179 | 108 |
180 - 189 | 83 |
190 - 199 | 18 |
200 - 209 | 3 |
What is the lower class boundary for the first class? class boundary =
21. 240 people are asked how many siblings they have?
# of Siblings | Frequency | Relative Frequency | Cumulative Frequency |
---|---|---|---|
0 | 47 | 0.1958 | 47 |
1 | 55 | ||
2 | 0.1583 | 140 | |
3 | 56 | 0.2333 | 196 |
4 | 44 | 0.1833 | 240 |
a. Complete the table (Use 4 decimal places when applicable)
b. What percent of the people have exactly zero siblings? %
22. The following data represents the age of 30 lottery winners.
22 | 25 | 28 | 32 | 35 | 39 |
40 | 43 | 44 | 45 | 47 | 47 |
50 | 54 | 54 | 54 | 55 | 55 |
57 | 58 | 60 | 61 | 62 | 67 |
68 | 68 | 68 | 69 | 70 | 87 |
Complete the frequency distribution for the data.
Age | Frequency |
---|---|
20-29 | |
30-39 | |
40-49 | |
50-59 | |
60-69 | |
70-79 | |
80-89 |
23. In a student survey, forty-one part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below:
Please round your answer to 4 decimal places for the Relative Frequency if possible.
# of Courses | Frequency | Relative Frequency | Cumulative Frequency |
---|---|---|---|
1 | 13 | 0.3171 | 13 |
2 | 0.2927 | 25 | |
3 | 16 |
What percent of students take exactly three courses?_______ %
24. Home Sales Prices
(hundred thousands) | (ten thousands) |
---|---|
0 | 667778999 |
1 | 02447778889999 |
2 | 0011234445667889 |
3 | 00011225 |
The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most expensive house sold? Give your answer in dollars $ _______ 25.
Data was collected for a sample of organic snacks. The amount of sugar [in mg} in each snack is summarized in the histogram below. Which statement best describes the meaning of one of the bars in the histogram? I2 It? 121'? .340 1150 .330 249i} 221'? 2419 215i] amount ofsugar {mg} {3}~ 0 15B snacks have 2 mg of sugar. O 1513 snacks have between 1443 and 1450' mg of sugar. [3' The largest number of snacks have 13 mg of sugar 0 2 snacks have about 15D mg of sugarStep by Step Solution
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