What is the paired t-test? Let’s say a teacher wants to determine whether the difficulty level of two tests on the same subject is the same. So, the teacher conducted the tests on 20 students on two consecutive days. And he measured the differences in the marks...

What is the two-sample t-test? The two-sample t-test is used to determine whether the difference in means of two different independent groups are statistically significant. For example, Let’s say there are two distinct species of rabbits. We want to know whether the...

What is the one-sample t-test? The one-sample t-test is used to determine whether the population mean is different from a hypothesized value. For example, let’s say we are given some sample balls. We need to measure the average weight of the sample balls and determine...

In a Student’s t-test, the test statistic follows the t-distribution graph. The Student’s t-distribution graph is symmetric and bell-shaped. The shape of the curve depends on the degrees of freedom. The t-distribution graph tends to be similar to the standard normal...

What is a one-sample z-test? A one-sample z-test is performed to check whether the difference between the population mean and the sample mean is statistically significant. For example, let’s say the average weight of a class of students is known to be 50 kg. In a...