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Questions and Answers
Which statistical measure is least affected by extreme values in a dataset?
Which statistical measure is least affected by extreme values in a dataset?
- Mode
- Range
- Median (correct)
- Mean
In hypothesis testing, a Type I error occurs when:
In hypothesis testing, a Type I error occurs when:
- The null hypothesis is incorrectly accepted.
- The alternative hypothesis is correctly accepted.
- The null hypothesis is incorrectly rejected. (correct)
- The sample size is too small.
Which of the following is typically used to measure the strength of the relationship between two variables?
Which of the following is typically used to measure the strength of the relationship between two variables?
- Variance
- Correlation coefficient (correct)
- Standard deviation
- Interquartile range
In a normal distribution, what percentage of data falls within one standard deviation from the mean?
In a normal distribution, what percentage of data falls within one standard deviation from the mean?
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What is the primary purpose of using a confidence interval in statistics?
What is the primary purpose of using a confidence interval in statistics?
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Study Notes
Statistical Measures and Relationships
- The median is the statistical measure least affected by extreme values, providing a better central tendency for skewed distributions.
Hypothesis Testing Errors
- A Type I error occurs when a true null hypothesis is incorrectly rejected, leading to a false positive result in hypothesis testing.
Measuring Relationships
- The correlation coefficient is commonly used to assess the strength and direction of the relationship between two variables, with values ranging from -1 to 1.
Normal Distribution and Data Percentages
- In a normal distribution, approximately 68% of the data falls within one standard deviation from the mean, illustrating the spread of data around the central average.
Confidence Intervals
- The primary purpose of a confidence interval is to provide a range of values that likely contains the true population parameter, offering a measure of uncertainty in statistical estimates.
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