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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 (H0) 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 & χ2-statistic is compared to the critical or rejection region values (p-value) of single or two tailed Z-distribution, t-distribution, F-distribution & χ2 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 (H0) in z-test conducted for normally distributed large sample sets in the statistics & probability surveys or experiments.

Standard normal probability distribution table for Z-Test
Normal Distribution table to find P value from Z score

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 (H0) 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 one tailed Student's t-Test
t-Distribution Table for One Tailed t-Test

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 (H0) in two tailed t-test conducted from normally distributed small sample sets in the statistics & probability surveys or experiments.

t-Distribution table for two tailed Student's t-Test
t-Distribution Table for Two Tailed t-Test

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 (H0) in F-test by comparing two or more sample variances in the statistics & probability surveys or experiments.

Fisher's F-distribution table for F-Test
Fisher's F-Distribution Table for F-Test

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 (H0) in χ2-test by analyzing the distribution which is not normally distributed in the statistics & probability surveys or experiments.

Chi-squared probability distribution table for χ<sup>2</sup>-Test
Chi-Squared Distribution Table for χ2-Test

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.

poisson probability distribution table
Poisson Distribution Table for e-m

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.

Binomial probability distribution table
Binomial Probability Distribution Table

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.

Chi-Squared distribution table
Gamma Function Table for Factorial of Decimal Point Numbers
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