Probability and Statistics

Problems related to probability distributions, statistical inference, data analysis, etc.

Problems in this category

We are given a dataset of pre-test scores ($X_1$) and post-test scores ($X_2$) for a group of studen...

Paired t-testStatistical SignificanceHypothesis TestingMeanStandard DeviationP-value

We are given two sets of scores, Time 1 ($X_1$) and Time 2 ($X_2$), for 12 subjects. We need to cal...

Hypothesis TestingPaired t-testStatistical SignificanceMeanStandard Deviation

The problem provides a table showing the performance of 10 students in Chemistry ($x$) and Physics (...

Descriptive StatisticsMeanScatter DiagramLinear Regression

The problem asks to construct a 99% confidence interval for the average land temperature from 1981-2...

Confidence IntervalT-distributionSample MeanSample Standard DeviationStatistical Inference

We are given the marks obtained by 8 students in Mathematics and Physics tests. We are asked to calc...

Spearman's Rank CorrelationCorrelationStatistics

The problem consists of two parts. Part (a) requires drawing a Venn diagram based on two given state...

Venn DiagramsMeanVarianceFrequency Distribution

Two fair dice, A and B, each with faces numbered 1 to 6, are thrown together. We need to: a) Constru...

ProbabilityDiscrete ProbabilityDiceSample SpaceEvents

The problem provides a frequency table showing the distribution of heights of seedlings in a nursery...

MeanVarianceFrequency DistributionDescriptive Statistics

Researchers are interested in the mean age of a certain population. A random sample of 10 individual...

Hypothesis TestingP-valueStatistical SignificanceNormal DistributionMeanVariance

The problem provides a frequency distribution of companies in the automotive sector based on their r...

Descriptive StatisticsFrequency DistributionHistogramsFrequency PolygonsCumulative Frequency CurvesMeasures of Central TendencyMeasures of DispersionSkewnessKurtosisGini IndexLorenz Curve

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