R&D department believes that the C-type batteries with a nominal diameter of 2mm will fit properly into all toys. A tolerance variation of 0.000225mm2 is allowable. A machine produces a batch of 12 C-type batteries and the following diameters in mm is recorded.   26.22 26.19 26.24 26.21 26.16 26.18 26.21 26.20 26.22 26.19 26.20 26.18   i) Construct a 95% confidence interval for the population ii) Does this variation appear acceptable?

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R&D department believes that the C-type batteries with a nominal diameter of 2mm will fit properly into all toys. A tolerance variation of 0.000225mm2 is allowable. A machine produces a batch of 12 C-type batteries and the following diameters in mm is recorded.

 

26.22

26.19

26.24

26.21

26.16

26.18

26.21

26.20

26.22

26.19

26.20

26.18

 

i) Construct a 95% confidence interval for the population

ii) Does this variation appear acceptable?

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