<-- xbar
<-- μ
<-- σ
<-- n
<-- α

##### How does the Random Sampling from the Normal Distribution Calculator work?
Free Random Sampling from the Normal Distribution Calculator - 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.

### What 2 formulas are used for the Random Sampling from the Normal Distribution Calculator?

Z = (x - μ)/σ/√n
t = (x - μ)/s/√n

For more math formulas, check out our Formula Dossier
##### What 8 concepts are covered in the Random Sampling from the Normal Distribution Calculator?
alternative hypothesis
opposite of null hypothesis. One of the proposed proposition in the hypothesis test.
H1
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.
H0
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