The external diameter (in centimetres) of cach 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.

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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.
Transcribed Image 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.
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