One Sample Z Test

One Sample Z Test
Description	One-sample z-test is a statistical test used to determine if the mean of a single sample is significantly different, from a hypothesized population mean, when the population standard deviation is known.
Why to use	Comparing sample mean to a known population mean
When to use	Normally distributed population Known Population Standard deviation	When not to use	Unknown population standard deviation Small sample size Non-normal population distribution
Prerequisites	Random sampling Independence Known population standard deviation Large sample size
Input	Any dataset containing numerical variables.	Output	It provides information about the statistical significance and confidence intervals associated with the test.
Statistical Methods Used	z-statistics Calculate the p-value	Limitations	Normality assumption Large sample size requirement Sensitivity to outliers Normality assumption Limited scope

One sample z test is a statistical test to verify whether the sample mean differs from the population mean. This test is used when we know the population standard deviation.
The formula for one sample z-test is given below.

Where,
σ = Population Standard Deviation

n = Number of elements in Sample
μ = Sample mean