Hypothesis Testing for Difference of Means - Double Sample

This app facilitates the visualization of double sample hypothesis tests for means with known population variances, allowing users to adjust sample sizes, sample means, population standard deviations, and significance levels. Through interactive controls and graphical outputs, including critical regions and p-values, it enhances students' understanding of how these factors impact the results of hypothesis testing.

Two Sample Hypothesis Test for the Difference of Means

Enter the sample statistics to perform a hypothesis test.

Test Parameters:

Choose the type of hypothesis test you want to perform:

\( H_o: \ \mu_1 - \mu_2 = \ \)
0.00     

Choose a significance level \(\ \alpha \ :\)

\(\alpha = \ \)
0.05     

Sample statistics:

Set sample sizes and means:

\(\bullet \ \)Sample 1

\(n_1 = \ \)
40     
\(\bar{x}_1 = \ \)
5.00     

\(\bullet \ \)Sample 2

\(n_2 = \ \)
40     
\(\bar{x}_2 = \ \)
5.00     

Population standard deviations:

\(\sigma_1 = \ \)
5.00     
\(\sigma_2 = \ \)
5.00     

Please select a test

Δₒ = μ₁ - μ₂ = 0.00࠘𝑥₁ - ࠘𝑥₂ = 0.00