The external diameter (in centimetres) of each of a random sample of ten pistons manufactured on a particular machine was measured and the following results are obtained. 9.91 9.89 10.06 9.98 10.09...

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Extracted text: The external diameter (in centimetres) of each of a random sample of ten pistons manufactured on a particular machine was measured and the following results are obtained. 9.91 9.89 10.06 9.98 10.09 9.81 10.01 9.99 9.87 10.09 (a) Construct a 90% confidence interval for the population variance of the external diameter of the pistons. (b) Test the manufacturer's claim that the standard deviation of the piston does not exceed 0.0707 cm at 2.5% level of significance.