## How do you interpret the p-value for a two-sample t-test?

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The smaller the p-value, the more surprised we would be by the observed difference in sample means if there really was no difference between the population means. Therefore, the smaller the p-value, the stronger the evidence is that the two populations have different means.

**What is the difference between a one sample t-test and a two sample t-test?**

If you are studying one group, use a paired t-test to compare the group mean over time or after an intervention, or use a one-sample t-test to compare the group mean to a standard value. If you are studying two groups, use a two-sample t-test. If you want to know only whether a difference exists, use a two-tailed test.

### What is the difference between 2-sample t-test and paired t-test?

Two-sample t-test is used when the data of two samples are statistically independent, while the paired t-test is used when data is in the form of matched pairs.

**What is the null hypothesis for a 2-sample t-test?**

The default null hypothesis for a 2-sample t-test is that the two groups are equal. You can see in the equation that when the two groups are equal, the difference (and the entire ratio) also equals zero.

## What does a one sample t test tell you?

The one-sample t-test is a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

**How do you calculate t test?**

Perform a t-test in R using the following functions : t_test ()[rstatix package]: a wrapper around the R base function t.test ().

### How do you calculate t test statistic?

t = ( x̄ – μ) / (s / √n) In case statistics of two samples are to be compared, then a two-sample t-test is to be used, and its formula is expressed using respective sample means, sample standard deviations, and sample sizes. Mathematically, it is represented as, s2 = Standard Deviation of 2 nd Sample.

**What does t test values mean?**

T-Test Types. The three main types of t-test are independent sample t-test,paired sample t-test,and one sample t-test.

## What are paired sample t tests?

Example. A teacher developed 3 exams for the same course.