rocedwrp

2021-01-27

Prove an example of two independent samples and another example of dependent samples providing your reasoning To compare two means or two proportions, one works with two groups. The group are classfied either aas independent or matched pairs. Independent groups meam that the two samples taken are independent, that is, sample values selected from one population are not related in any way to sample values selected from the other population. Matched pairs consist of two samples that are dependent. The parameter tested using matched pairs is the population mean. The parameters tested using independent groups are either population means or population proportion.

Let's say we want to compare the math grades in two different school classes. Say there are 70 students in the first class and 65 in the second. Two classes' students are independent of one another. Let's say we choose a sample of 20 first-grade students and a sample of 18 second-graders.  So, the two samples are independent.
Again suppose we want compare the performance difference in math and english exam in a class. We select 30 students from the class and noted their math and english test scores. Here, we obtain Math and English scores for the same set of students. So, the samples are dependent and matched pair test is applicable here.

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