Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
The problem provides an ANOVA table with some missing values. We need to calculate the missing value...
ANOVAF-statisticSum of SquaresDegrees of FreedomMean Square
2025/4/23
The problem is to complete the ANOVA table. We are given $N=16$, $df_{Between} = 2$, $MS_{Between} =...
ANOVAStatistical AnalysisVarianceF-test
2025/4/23
We are given an ANOVA table with some missing values. We are given that the number of groups $k = 4$...
ANOVAStatisticsHypothesis TestingStatistical Analysis
2025/4/23
The problem asks us to determine whether to reject or fail to reject the null hypothesis based on th...
ANOVAHypothesis TestingF-statisticEffect SizeEta-squared
2025/4/23
We are given summary data from two states, Alaska and Hawaii, regarding people's awareness of enviro...
Hypothesis TestingT-testStatisticsSample MeansStandard DeviationStatistical Significance
2025/4/23
We are given descriptive statistics for extroversion scores of English majors (group 1) and History ...
Confidence IntervalT-DistributionStatistical InferenceHypothesis TestingTwo-Sample TestWelch's t-test
2025/4/23
We are given summary data for two groups: pet owners (group 1) and non-owners (group 2). We want to ...
Hypothesis TestingT-testStatistical SignificanceOne-tailed testDegrees of Freedom
2025/4/23
The problem describes a study where a researcher wants to determine if there is a significant differ...
Hypothesis Testingt-testIndependent SamplesNull HypothesisAlternative HypothesisSignificance LevelStatistical Inference
2025/4/23
A researcher wants to determine if there's a statistically significant difference in how busy someon...
t-testIndependent Samples t-testStatisticsHypothesis TestingStatistical Significance
2025/4/23
The problem presents exam scores for two classes. One class uses a point-and-click software program,...
Descriptive StatisticsSample MeanSample Standard DeviationData Analysis
2025/4/23