Two Sample T Test Example Questions

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What is two sample t test example questions?

Two sample t test example questions are statistical questions that use the two sample t test to compare the means of two different groups or populations. This test is commonly used in various research studies and experiments, especially in the fields of social sciences, economics, and medicine. By comparing the means of the two groups, researchers can determine if there is a significant difference between them.

What are the types of two sample t test example questions?

There are several types of two sample t test example questions that can be explored. Some common types include:

Comparing the effectiveness of two different medications in reducing symptoms
Analyzing the average income of male and female employees in a company
Examining the impact of two different teaching methods on student performance
Evaluating the average scores of two different teams in a sports competition

How to complete two sample t test example questions

Completing two sample t test example questions involves the following steps:

01
Formulate the null and alternative hypotheses for the comparison
02
Collect and organize the data for the two groups being studied
03
Calculate the t-statistic and degrees of freedom
04
Determine the critical value or p-value to assess the significance
05
Compare the calculated t-statistic with the critical value or p-value
06
Interpret the results and draw conclusions based on the analysis

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Questions & answers

The two-sample t-test (Snedecor and Cochran, 1989) is used to determine if two population means are equal. A common application is to test if a new process or treatment is superior to a current process or treatment. There are several variations on this test. The data may either be paired or not paired.
The t-test produces two values as its output: t-value and degrees of freedom. The t-value, or t-score, is a ratio of the difference between the mean of the two sample sets and the variation that exists within the sample sets. The numerator value is the difference between the mean of the two sample sets.
What is your computed answer? What would be the null hypothesis in this study? What would be the alternate hypothesis? What probability level did you choose and why? What are your degrees of freedom? Is there a significant difference between the two groups? Interpret your answer.
Two Sample t-test: Example Step 1: Gather the sample data. Suppose we collect a random sample of turtles from each population with the following information: Step 2: Define the hypotheses. Step 3: Calculate the test statistic t. Step 4: Calculate the p-value of the test statistic t. Step 5: Draw a conclusion.
In Excel, click Data Analysis on the Data tab. From the Data Analysis popup, choose t-Test: Two-Sample Assuming Equal Variances. Under Input, select the ranges for both Variable 1 and Variable 2. In Hypothesized Mean Difference, you'll typically enter zero.
Steps to Calculate Two Sample T Hypothesis Test (Unequal Variance): Step 1 – Calculate mean (X̅) of each sample. X̅ = (x1 + x2 + …. Step 2 – Calculate variance (S2) of each sample. Step 3 – Calculate t value. Step 4 – Calculate degrees of freedom (DF) Step 5 – Compare t-calc with critical value in the t-distribution table.
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