The following table shows the number of shirts by sizes that are manufactured in a factory on a particular week: Extra Small Small Medium Large Extra Large 390               470    520         680   440 a) It was discovered that the sizing of some shirts was labelled incorrectly. (i) Give two reasons why it would be necessary to examine a sample of the shirts produced rather than examine the entire weekly production.  State two differences between a cluster sample and a stratified random sample in this situation.  (iii) Using the stratified random sampling technique, calculate the number of medium shirts that will be selected if we require a sample of 375 shirts.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.