OCR MEI Further Statistics Minor 2023 June — Question 2

Exam BoardOCR MEI
ModuleFurther Statistics Minor (Further Statistics Minor)
Year2023
SessionJune
TopicCombinations & Selection

2 A company manufactures batches of twenty thousand tins which are subsequently filled with fruit. The company tests tins from each batch to make sure that they are strong enough. The test is easy and cheap to carry out, but when a tin has been tested it is no longer suitable for filling with fruit.
    1. Explain why a sample size of 5 tins per batch may not be appropriate in this case.
    2. Explain why a sample size of 1000 tins per batch may not be appropriate in this case. The company tests a sample of 30 tins from each batch.
  1. Explain why it would not be sensible for the sample to consist of the final 30 tins produced in a batch.
  2. Give two features that the sample should have.