Exploring One–Variable Data
When comparing two distributions with similar means but different ranges, what can be inferred if one distribution has a larger interquartile range (IQR)?
How does an increase in sample size affect Type II errors if other factors such as significance level and effect size remain constant during hypothesis testing?
In a statistical study comparing the salaries of individuals with different levels of education, what type of graph would be most appropriate to display the distribution of salaries for each education level?
When describing a symmetric distribution, which measure of center is often reported with the standard deviation?
Which graphical display would best show the distribution of a quantitative variable for one group alongside its outliers?
How should one interpret an extremely low p-value (much lower than any commonly used significance level) obtained from performing hypothesis testing on sample data against an assumed population parameter?
Which graphical representation would best show the frequency distribution for final grades in a large statistics class?
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Which graphical representation can best show detailed individual data points while also highlighting potential outliers?
When examining the distribution of a quantitative variable, what is most appropriate to use when the data is skewed?
Given an image of a histogram, how can you determine if a histogram is symmetric?