Statistics Homework 1 MyLab Stats
This set explains key concepts such as the difference between statistical and practical significance and identifies potential bias in data sources. Ideal for mastering foundational ideas in statistical reasoning and analysis.
When testing a new treatment, what is the difference between statistical significance and practical significance? Can a treatment have statistical significance, but not practical significance?
Statistical significance is achieved when the result is very unlikely to occur by chance. Practical significance is related to whether common sense suggests that the treatment makes enough of a difference to justify its use. It is possible for a treatment to have statistical significance, but not practical significance.
Key Terms
When testing a new treatment, what is the difference between statistical significance and practical significance? Can a treatment have statistical significance, but not practical significance?
Statistical significance is achieved when the result is very unlikely to occur by chance. Practical significance is related to whether common sense...
Determine whether the source given below has the potential to create a bias in a statistical study.
A certain medical organization tends to oppose the use of meat and dairy products in our diets, and that organization has received hundreds of thousands of dollars in funding from an animal rights foundation.
There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with the organization's creed and ...
Determine whether the sampling method described below appears to be sound or is flawed.
In a survey of 547 subjects, each was asked how often he or she drank milk. The survey subjects were internet users who responded to a question that was posted on a news website.
It is flawed because it is a voluntary response sample.It
Determine whether the sampling method described below appears to be sound or is flawed.
In a survey of 534 human resource professionals, each was asked about the importance of the appearance of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
It appears to be sound because the data are not biased in any way.
A magazine, which does not accept free products or advertising from anyone, prints a review of new cars.
Are there sources of bias in this situation?
There do not appear to be any sources of bias.
What does it mean for the findings of a statistical analysis of data to be statistically significant?
The likelihood of getting these results by chance is very small.
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| Term | Definition |
|---|---|
When testing a new treatment, what is the difference between statistical significance and practical significance? Can a treatment have statistical significance, but not practical significance? | Statistical significance is achieved when the result is very unlikely to occur by chance. Practical significance is related to whether common sense suggests that the treatment makes enough of a difference to justify its use. It is possible for a treatment to have statistical significance, but not practical significance. |
Determine whether the source given below has the potential to create a bias in a statistical study. | There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with the organization's creed and that of its funders. |
Determine whether the sampling method described below appears to be sound or is flawed. | It is flawed because it is a voluntary response sample.It |
Determine whether the sampling method described below appears to be sound or is flawed. | It appears to be sound because the data are not biased in any way. |
A magazine, which does not accept free products or advertising from anyone, prints a review of new cars. | There do not appear to be any sources of bias. |
What does it mean for the findings of a statistical analysis of data to be statistically significant? | The likelihood of getting these results by chance is very small. |
Which of the following would NOT cast doubt of the usefulness of sample data? | An effective sampling method |
A sample of seniors is selected and it is found that 40% own a television. | Statistics because the value is a numerical measurement describing a characteristic of a sample. |
Determine whether the data described below are qualitative or quantitative and explain why. | The data are quantitative because they consist of counts or measurements. |
State whether the data described below are discrete or continuous, and explain why. | The data are Th discrete because the data can only take on specific values. |
Determine whether the given value is a statistic or a parameter. | The given value is a Th statistic for the week because the data collected represent a sample. |
A particular country has 45 total states. If the areas of 20 states are added and the sum is divided by 20, the result is 215 comma 463 square kilometers. | The result is a statistic because it describes some characteristic of a sample. |
Determine whether the given value is a statistic or a parameter. | The value is a parameter because it is a numerical measurement describing some characteristic of a population. |
Determine whether the given value is a statistic or a parameter. | Statistic because the value is a numerical measurement describing a characteristic of a sample. |
State whether the data described below are discrete or continuous, and explain why. | The data are discrete because the data can only take on specific values. |
State whether the data described below are discrete or continuous, and explain why. | The data are discrete because the data can only take on specific values. |
Determine whether the value given below is from a discrete or continuous data set. | A continuous data set because there are infinitely many possible values and those values cannot be counted. |
Determine whether the value is from a discrete or continuous data set. | Discrete |
State whether the data described below are discrete or continuous, and explain why. | The data are discrete because the data can only take on specific values. |
State whether the data described below are discrete or continuous, and explain why. | The data are discrete because the data can only take on specific values. |
Determine whether the given value is from a discrete or continuous data set. | A discrete data set because there are a finite number of possible values. |
Which of the following is associated with a parameter? | Data that were obtained from an entire population. |
Which of the following consists of discrete data? | Number of suitcases on a plane |
Which of the following would be classified as categorical data? | Hair color |
Determine whether the given description corresponds to an observational study or an experiment. | The given description corresponds to an observational study. |
Explain the difference between a single-blind and a double-blind experiment. | In a single-blind experiment, the subject does not know which treatment is received. In a double-blind experiment, neither the subject nor the researcher in contact with the subject knows which treatment is received. |
Determine whether the description corresponds to an observational study or an experiment. | Observational Study |
A study of an association between which ear is used for cell phone calls and whether the subject is left-handed or right-handed began with a survey e-mailed to 5000 people belonging to an otology online group, and 717 surveys were returned. (Otology relates to the ear and hearing.) What percentage of the 5000 surveys were returned? Does that response rate appear to be low? In general, what is a problem with a very low response rate? | Of the 5000 surveys, [ 14% ] were returned. This response rate [ appears ] to be low. |
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. | Systematic Sampling |
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. | Random Sampling |
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. | Systematic Sampling |
Identify which type of sampling is used: random, systematic, convenience, stratified, or cluster. | Cluster |
Identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster. | Random |
Identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster. | Stratified |
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster. | Systematic |
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. | Random Sampling |
Identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster. | Stratified Sampling |
Identify which type of sampling is used: random, systematic, convenience, stratified, or cluster. | Convenience |
Determine whether the study is an experiment or an observational study, and then identify a major problem with the study. | This is an [observational study] because the researchers [do not attempt to modify] the individuals. |
Identify the type of observational study. | Cross-sectional |
Which sampling method divides the population up into sections, randomly selects some of those sections, then chooses all the members from the selected sections to study? | Cluster |
Which sampling method subdivides the population into categories sharing similar characteristics and then selects a sample from each subdivision? | Stratified |
A study is conducted to measure children's growth rates without any treatment applied to the children. | Observational Study |