One Sample T Test

One Sample T Test

One Sample T Test

Description

A one-sample t-test is a statistical test for determining if the mean of a single sample varies significantly from a hypothesized population mean.

Why to use

To determine if there is statistical difference between sample mean and fixed value.

When to use

  • Continuous Data
  • Data is normally Distributed

When not to use

Non-normal data distribution 

Prerequisites

  • Normally distributed data

Input

Any dataset containing numerical variables.

Output

It includes several key components that provide information about the statistical significance and confidence intervals associated with the test.

Statistical Methods Used

  • t-statistics
  • Degree of freedom

Limitations

  • Small sample size
  • Skewed data
  • Presence of outliers

One Sample t Test is a statistical test for verifying whether the calculated mean differs from a designated value. The designated value is chosen scientifically. This test is used when we do not know the population standard deviation. The formula for One Sample t Test is given as follows.

Where

  •  is the sample mean
  •  μ is the population mean
  •  s is the sample standard deviation
  •  n is the number of elements in the sample

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