Engineering Statistics & Probability Calculators
Normal distribution, hypothesis testing, regression, ANOVA, DOE, process capability, Weibull analysis
Engineering Statistics & Probability covers normal distribution, hypothesis testing, regression, anova, doe, process capability, weibull analysis.
This engineering course provides rigorous analysis tools for statistics problems encountered in professional practice. Students work through both theoretical derivations and applied numerical examples to build the quantitative skills needed in industry.
The tools and techniques developed in Statistics are applied daily by practicing engineers and form essential prerequisites for advanced coursework and professional engineering practice.
Key Concepts
- •Core theory and principles of statistics
- •Applied problem-solving using industry-standard methods
- •Quantitative analysis with real engineering units and magnitudes
- •Connections to other engineering disciplines
Prerequisites
Calculus
Most engineering analysis courses require differential and integral calculus.
Introductory Physics
Familiarity with basic mechanics and energy concepts provides context for engineering-level analysis.
Statistics Calculators
Normal Distribution Calculator
Compute P(X < x), P(X > x), P(a < X < b), z-scores, and inverse normal with an interactive bell curve
t-Distribution Calculator
Compute p-values (one-tail and two-tail) and critical t-values for Student's t-distribution with any degrees of freedom
Confidence Interval Calculator
Compute confidence intervals using z or t distribution with margin of error, SE, and visual interval bar
Hypothesis Testing Calculator
Step-by-step one-sample z-test, one-sample t-test, and two-sample Welch t-test with rejection region chart
ANOVA Calculator
One-way ANOVA for 2–5 groups: SSB, SSW, MSB, MSW, F-statistic, p-value, and pairwise post-hoc comparisons
Linear Regression Calculator
Simple linear regression with slope, intercept, R², adjusted R², residuals, predictions, and scatter/residual plots
Chi-Square Calculator
Chi-square test of independence and goodness-of-fit with cell contribution table, df, and p-value
Probability Distributions Calculator
PMF/PDF, CDF, mean, and variance for Binomial, Poisson, Exponential, Uniform, and Geometric distributions with interactive charts
Descriptive Statistics Calculator
Compute mean, median, mode, range, quartiles, IQR, variance, std dev, skewness, kurtosis, and more with histogram and box plot
2ᵏ Factorial Design Calculator
Full 2ᵏ factorial DOE (k = 2–4): compute main effects, two-factor and higher-order interactions, Pareto chart of effect sizes
Process Capability Calculator
Compute Cp, Cpk, Pp, Ppk, sigma level, and DPM from process data and spec limits with distribution overlay chart
Weibull Distribution Calculator
Reliability R(t), hazard h(t), MTTF, B10 life, and MLE parameter estimation from failure data for Weibull analysis