# Tables to Find Critical Values of Z, t, F & χ² Distribution

Statistic tables to find table or critical values of Gaussian's normal distribution, Student's t-distribution, Fishers's F-distribution & chi-square distribution to check if the test of hypothesis (H_{0}) is accepted or rejected at a stated significance level in Z-test, t-test, F-test & chi-squared test accordingly. In the hypothesis test, the estimated or calculated Z-statistic, t-statistic, F-statistic & χ^{2}-statistic is compared to the critical or rejection region values (p-value) of single or two tailed Z-distribution, t-distribution, F-distribution & χ^{2} obtained from each respective table to test the hypothesis. All the tables are available in html & PDF download format.

## Normal Distribution Table for Z-Test

Normal-distribution table & how to use instructions to quickly find the critical (rejection region) value of Z at a stated level of significance (α = 0.01, 0.05, 0.1 etc or α = 0.1%, 5%, 10% etc) for the test of hypothesis (H

_{0}) in z-test conducted for normally distributed large sample sets in the statistics & probability surveys or experiments.

## t-Distribution Table for One Tailed t-Test

Student's t-distribution table & how to use instructions to quickly find the critical (rejection region) value of t at a stated level of significance (α = 0.01, 0.05, 0.1 etc or α = 0.1%, 5%, 10% etc) for the test of hypothesis (H

_{0}) in one (left or right) tailed t-test conducted from normally distributed small sample sets in the statistics & probability surveys or experiments.

### t-Distribution Table for Two Tailed t-Test

Student's t-distribution table & how to use instructions to quickly find the critical (rejection region) value of t at a stated level of significance (α = 0.01, 0.05, 0.1 etc or α = 0.1%, 5%, 10% etc) for the test of hypothesis (H

_{0}) in two tailed t-test conducted from normally distributed small sample sets in the statistics & probability surveys or experiments.

### Fisher's F-Distribution Table for F-Test

Fisher's F-distribution table & how to use instructions to quickly find the critical (rejection region) value of F at a stated level of significance (α = 0.01, 0.05, 0.1 etc or α = 0.1%, 5%, 10% etc) for the test of hypothesis (H

_{0}) in F-test by comparing two or more sample variances in the statistics & probability surveys or experiments.

### Chi-Squared Distribution Table for χ2-Test

Chi-Squared distribution table & how to use instructions to quickly find the critical value of Χ² at a stated level of significance (α = 0.01, 0.05, 0.1 etc or α = 0.1%, 5%, 10% etc) for the test of hypothesis (H

_{0}) in χ

^{2}-test by analyzing the distribution which is not normally distributed in the statistics & probability surveys or experiments.

#### More Statistics & Probability Tables

Apart from finding critical values from different distribution tables, there are some of other important tables such as Binomial, Poisson & Gamma distribution tables also used in statistics & probability theory. Users can refer such tables to solve various statistics & probability experiments or problems by using these tables.

#### Poisson Distribution Table for e^{-m}

Poisson distribution table & how to use instructions to quickly find the value of e

^{-m}in the Poisson equations.

#### Binomial Distribution Table for n = 1 to 10

Binomial distribution table & how to use instructions to quickly find the probability value of success or failures in Bernoulli experiments.

#### Gamma Function Table for Γ(x)

Gamma function table & how to use instructions to quickly find the gamma function of x to find the factorial of decimal point numbers in statistics & probability experiments.