Extra Small  390  Small   470  Medium 520    Large 680  Extra Large  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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Extra Small  390  Small   470  Medium 520    Large 680  Extra Large  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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