Statistics Interview Questions and Answers
Ques 16. What is the difference between a population parameter and a sample statistic?
A population parameter is a numerical value that describes a characteristic of an entire population. A sample statistic is a numerical value that describes a characteristic of a sample drawn from that population.
Example:
Population parameter: Average income of all households. Sample statistic: Average income of a sample of 100 households.
Ques 17. Define the term 'confidence level' in the context of confidence intervals.
The confidence level is the probability that the calculated confidence interval contains the true population parameter. Common confidence levels are 90%, 95%, and 99%.
Example:
A 99% confidence interval for the average weight of a certain species of bird is 20 to 25 grams.
Ques 18. What is the purpose of a chi-squared test?
A chi-squared test is used to determine if there is a significant association between two categorical variables. It compares the observed frequencies with the expected frequencies.
Example:
Testing if there is a significant association between gender and voting preference.
Ques 19. What is a histogram, and how is it used in statistics?
A histogram is a graphical representation of the distribution of a dataset. It displays the frequencies of different ranges or bins of the data, providing insights into its shape and central tendency.
Example:
Creating a histogram to visualize the distribution of exam scores in a class.
Ques 20. Explain the difference between a one-tailed and a two-tailed test.
In a one-tailed test, the critical region is on one side of the distribution (either the right or left). In a two-tailed test, the critical region is on both sides.
Example:
One-tailed test: Does a new drug increase performance? Two-tailed test: Does a new drug have any effect on performance?
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