H_{0}: μ_{1} ≥ μ_{2}+d | H_{0}: μ_{1} = μ_{2}+d | H_{0}: μ_{1} ≤ μ_{2}+d | |

H_{1}: μ_{1} < μ_{2}+d | H_{1}: μ_{1} ≠ μ_{2}+d | H_{1}: μ_{1} > μ_{2}+d | |

If you enter raw data, the tool will run the Shapiro-Wilk normality test and calculate outliers, as part of the test calculation.

tails: the default is two tailed test

or or enter summarized data (x, n, σ, S) in Group1 and Group2 forms

**Header**: You may change groups' name to the real names.**Data**: When entering data, press Enter after each value

You may copy data from Excel, Google sheets or any tool that separate data with **Tab** and **Line Feed**.

Copy the data, **one block of 2 consecutive columns includes the header**, and paste below.

x_{1}: | Sample average of group1 | |

n_{1}: | Sample size of group1 | |

S_{1}: | Sample Standard deviation of group1 | |

skewness: | ||

Normality pval1: | Shapiro Wilk test | |

Outliers | count: ,based on the Tukey's fences method, k=1.5 |

The difference between the expected SD and the sample SD

x_{2}: | Sample average of group2 | |

n_{2}: | Sample size of group2 | |

S_{2}: | Sample Standard deviation of group2 | |

skewness: | ||

Normality pval2: | Shapiro Wilk test | |

Outliers | count: ,based on the Tukey's fences method, k=1.5 |

validation message