Enter X | Enter μ | Enter Sample σ | Enter Sample N | Enter α (Hypothesis only) |

This performs hypothesis testing on a sample mean with critical value on a sample mean or calculates a probability that Z <= z or Z >= z using a random sample from a normal distribution.

This calculator has 5 inputs.

This calculator has 5 inputs.

- alternative hypothesis
- opposite of null hypothesis. One of the proposed proposition in the hypothesis test.

H_{1} - critical value
- a point on the distribution of the test statistic under the null hypothesis that defines a set of values that call for rejecting the null hypothesis.
- hypothesis
- statistical test using a statement of a possible explanation for some conclusions
- mean
- A statistical measurement also known as the average
- null hypothesis
- in a statistical test, the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

H_{0} - probability
- the likelihood of an event happening. This value is always between 0 and 1.

P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes - random sampling from the normal distribution
- sample mean
- an average value found in a sample