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. (ii) 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.
Question 1
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.
(ii) 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.
(iv) State one advantage of using stratified random method for collecting this sample.
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