Statistics Solver

The Statistics Solver runs the calculations from an intro or intermediate statistics course. Descriptives: mean, median, mode, variance, standard deviation, quartiles, outliers. Distributions: normal, binomial, Poisson, t, chi-square probabilities. Inference: one- and two-sample z and t tests, paired tests, proportion tests, chi-square goodness of fit and independence, one-way ANOVA. Confidence intervals for means, proportions, and differences. Correlation and linear regression with the equation, r, and r-squared. Each result comes with the formula, the substituted values, and the interpretation in the problem's context. Probability calculations for the normal distribution use the z table method or the calculator method, with the z score computed and the lookup stated, and the empirical rule is applied where it fits.

Paste the data as a list or a table, or photograph the printed problem. State the question: "test whether the mean differs from 50 at alpha 0.05", "95% confidence interval for the proportion", "regression of y on x". Include the sample size, whether sigma is known, and the significance level if the problem gives them. Set Answer form to decimal for most statistics work; the solver rounds sensibly and states the precision it used. For a two-sample problem, label which values belong to which group. For a chi-square test, paste the table with row and column headers. If a problem provides summary statistics rather than raw data, enter them exactly as given and the solver skips the descriptive stage.

Output: the statistic, p-value, interval, or equation first, with the decision stated. Then the hypotheses, the conditions checked, the formula, the arithmetic, and the conclusion in plain words. Regression output includes the fitted equation and a residual note. The working is shown so you can check it against your calculator. For a counting or single-event probability question, use the Probability Solver. For matrix algebra behind multiple regression, use the Matrix Calculator. A follow-up can rerun the test at a different significance level, switch from a two-tailed to a one-tailed alternative, or compute the interval at a different confidence. Conditions such as normality and independence are checked and stated, since graders often look for them.