T-test

Question 1

What are the different types of t-test?

Answer 1

One sample t-test, independent t-test, paired t-test

Question 2

One sample t-test

Answer 2

. This is used to see if there is a difference between a sample mean and a hypothesised population mean (or claimed mean). For example. Imagine a farmer was selling bags of fertiliser and claimed that it would cover 14 acres of land (claimed mean). If you then bought 10 bags of him (sample of 10) and tested each bag and produced your own mean of 13 acres (sample), you would compare these means with a one sample t-test.

Question 3

Independent t-test

Answer 3

This test is used when you want to compare to means from independent groups. For example. A study is conducted to see if vitamin tablets cause children to grow. 100 children are split into two groups. One group is given vitamins and the other a placebo. The mean height of each group is then taken. The means are then compared with an independent t-test.

Question 4

Paired t-test

Answer 4

This is used when comparing the means of two groups that are considered to be paired (matched, or dependent). An example would be a study that first takes the blood pressure from a group of people then gives them a drug and then repeats the blood pressure measurements. This will produce two means from the same sample. Another example would be a study that tried to prove that people had bigger right hands than left hands. A sample would be taken and the mean of all the right hands and left hands would be taken and compared. The aspect that makes the variables paired is that the left and right hands of a single person are taken.
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