An ExampleSuppose that a school has two buildings - one for girls and the other for boys. Suppose that the principal want to know if the pupils of the two buildings are working equally hard, in the sense that they put in equal number of hours in studies on the average.Statistically speaking, the principal is interested in testing whether the average number of hours studied by boys is from the average for girls. Steps.To calculate, we begin by specifying the.In this case, the would be H 0: μ(boys) = μ(girls), which essentially states that mean study hours for boys and girls are no different.The is H 1: μ(boys) ≠ μ(girls).In the second step, we take a sample of say 10 students from the boy's building and 15 from girl's building and collect data on how long they study daily. These 10 and 15 different study hours are our two samples.It is not difficult to see that the two samples have been drawn independent of each other - an essential requirement of the independent two-sample t-test.Suppose that the sample mean turns out to be 7.25 hours for boys and 8.5 for girls. AssumptionsAlong with the, this test is one of the most widely tests. However, this test can be used only if the background assumptions are satisfied.The populations from which the samples have been drawn should be - appropriate statistical methods exist for testing this assumption (For example, the Kolmogorov Smirnov non-parametric test).

1. 2 Sample T Test Calculator
2. 2 Sample T Test Null Hypothesis
3. 2 Sample T Test Example

One needs to note that the normality assumption has to be tested individually and separately for the two samples. It has however been shown that minor departures from normality do not affect this test - this is indeed an advantage.The of the populations should be equal i.e. ΣX2 = σY2 = σ2, where σ2 is unknown. This assumption can be tested by the.

2 Sample T Test Calculator

Samples have to be randomly drawn independent of each other. There is however no requirement that the two samples should be of equal size - often times they would be unequal though the odd case of equal size cannot be ruled out. The text in this article is licensed under the.This means you're free to copy, share and adapt any parts (or all) of the text in the article, as long as you give appropriate credit and provide a link/reference to this page.That is it.

2 Sample T Test Null Hypothesis

2 Sample T Test Example

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