# 14.Answer the following: a) A principal orders T-shirts and wants to check some of them to make sure they were printed properly. She randomly selects 2 of the 10 boxes of shirts and checks every shirt in those two boxes. Explain the type of sampling done. Also state one merit and one demerit of the same. a) A school chooses three randomly selected athletes from each of its sports teams to participate in a survey about athletics at the school. Explain the type of sampling done. Also state one merit and one demerit of the same.

a) cluster sampling:under this method,total population is divided into some recognisable sub division,known as clusters and then out if all the clusters , a given number of clusters are chosen at random and all the items covered by the selected clusters are included in the sample.

Merits:1)cut down on the cost of preparing a sampling frame

Demerits

1)sampling error is higher for a simple random sample of same size

B) stratified random sampling

in this method,the universe or the entire population is divided into a number of groups or ''strata' and then certain numbers of items are taken from each group at random

Merits:1) it ensures administrative convenience by dividing the population into certain homogeneous strata and sub strata

Demrits:

1) the strafied samples are likely to be more widely distributed geographically so,it may prove to be more expensive in the matter of collection.

Regards

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