How do you find the test statistic for a two sample t test?

Assuming equal variances, the test statistic is calculated as: – where x bar 1 and x bar 2 are the sample means, s² is the pooled sample variance, n1 and n2 are the sample sizes and t is a Student t quantile with n1 + n2 – 2 degrees of freedom.

What is the test statistic for t test?

A test statistic is a standardized value that is calculated from sample data during a hypothesis test. A t-value of 0 indicates that the sample results exactly equal the null hypothesis. As the difference between the sample data and the null hypothesis increases, the absolute value of the t-value increases.

How do you interpret a t test statistic?

Compare the P-value to the α significance level stated earlier. If it is less than α, reject the null hypothesis. If the result is greater than α, fail to reject the null hypothesis. If you reject the null hypothesis, this implies that your alternative hypothesis is correct, and that the data is significant.

How do you find the t statistic?

Calculate the T-statistic Divide s by the square root of n, the number of units in the sample: s ÷ √(n). Take the value you got from subtracting μ from x-bar and divide it by the value you got from dividing s by the square root of n: (x-bar – μ) ÷ (s ÷ √[n]).

How do you calculate a test statistic?

The formula to calculate the test statistic comparing two population means is, Z= (x – y)/√(σx 2/n1 + σy 2/n2). In order to calculate the statistic, we must calculate the sample means (x and y) and sample standard deviations (σx and σy) for each sample separately. n1 and n2 represent the two sample sizes.

What is the formula for t test in statistics?

T-test uses means and standard deviations of two samples to make a comparison. The formula for T-test is given below: Where, = Mean of first set of values = Mean of second set of values = Standard deviation of first set of values = Standard deviation of second set of values = Total number of values in first set = Total…

How do you calculate t test?

Sample question: Calculate a paired t test by hand for the following data: Step 1: Subtract each Y score from each X score. Step 2: Add up all of the values from Step 1. Step 3: Square the differences from Step 1. Step 4: Add up all of the squared differences from Step 3. Step 5: Use the following formula to calculate the t-score:

What is the formula for t statistic?

The test statistic is a t statistic (t) defined by the following equation. t = ( x – μ) / SE where x is the sample mean, μ is the hypothesized population mean in the null hypothesis, and SE is the standard error.