Thank you!

3) A quality control manager checks the precision of car engine parts produced in a plant. A hose needs to be 1.5 cm in diameter. However, during production the hoses can sometimes come out to be more or less than 1.5 cm in diameter. If a batch (or sample) of hoses has diameter far from 1.5 cm on average, then the batch is sent for reproduction. On a production day, the following samples of hoses are found: Sample A: 150 hoses with sample mean diameter 1.495 cm and variance 0.36 . Sample B: 150 hoses with sample mean diameter 1.505 cm and standard deviation 0.9 Which batch of hoses is more likely to be sent for reproduction? Explain why. [3 marks]