Question 1                                                                                           The following table shows the number of shirts by sizes that are manufactured in a factory on a particular week: The information is as follows:  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.

MATLAB: An Introduction with Applications
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Question 1                                                                                          
The following table shows the number of shirts by sizes that are manufactured in a factory on a particular week:

The information is as follows: 

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.

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