Foundations of Statistical Analysis and Decision Making Quiz Test your knowledge of statistical analysis with questions on inference, central tendency, p-value, hypothesis testing, distributions, regression, and more.
#1
Which statistical distribution is commonly used to model the number of successes in a fixed number of independent Bernoulli trials?Normal distribution
Exponential distribution
Poisson distribution
Binomial distribution
#2
Which statistical test is appropriate for comparing the means of two independent groups?Paired t-test
ANOVA
Chi-square test
Independent t-test
#3
What is the purpose of a null hypothesis in hypothesis testing?To provide an alternative to the research hypothesis
To assert that there is no significant difference or relationship
To confirm the research hypothesis
To calculate the p-value
#4
What is the purpose of an outlier in a boxplot?To represent the mean of the data
To identify extreme values in the dataset
To indicate the mode of the data
To calculate the standard deviation
#5
Which of the following is NOT a measure of variability?Standard deviation
Variance
Range
Mean
#6
What is the fundamental principle of statistical inference?Central Limit Theorem
Law of Large Numbers
Hypothesis Testing
Regression Analysis
#7
Which measure of central tendency is most affected by outliers?#8
What does the term 'confidence interval' represent in statistics?A range of values used to estimate a population parameter
The probability of rejecting a null hypothesis
The average of a set of data points
A measure of central tendency
#9
What is the formula to calculate the variance of a sample?Σ(x - μ)² / n
Σ(x - μ) / n
Σ(x - μ) / (n - 1)
Σ(x - μ)² / (n - 1)
#10
What is the formula to calculate the standard deviation of a population?Σ(x - μ)² / n
Σ(x - μ) / n
Σ(x - μ) / (n - 1)
Σ(x - μ)² / (n - 1)
#11
In statistical terms, what is 'p-value'?Probability of obtaining a test statistic at least as extreme as the one observed
Probability of rejecting a true null hypothesis
Level of significance
Confidence interval
#12
What is the purpose of a Type II error in hypothesis testing?Incorrectly rejecting a true null hypothesis
Incorrectly failing to reject a false null hypothesis
Correctly rejecting a false null hypothesis
Correctly failing to reject a true null hypothesis
#13
Which of the following is NOT an assumption of linear regression?Normality of residuals
Homoscedasticity
Independence of observations
Linearity between dependent and independent variables
#14
What does the term 'statistical power' refer to?The probability of committing a Type I error
The probability of committing a Type II error
The probability of rejecting a true null hypothesis
The probability of correctly rejecting a false null hypothesis
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