A machine produces metal rods used in an automobile suspension system. A random sample of 12...

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A machine produces metal rods used in an automobile suspensionsystem. A random sample of 12 rods is selected and the diameter ismeasured. The resulting data, in mm, are shown here:
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
3.11 Â Â Â 2.88Â Â Â Â 3.08Â Â Â Â 3.01
2.84Â Â Â Â 2.86Â Â Â Â 3.04Â Â Â Â 3.09
3.08Â Â Â Â 2.89Â Â Â Â 3.12Â Â Â Â 2.98
a.Â Â Â Â Â Â Â Â Find a two-sided95% confidence interval for the mean rod diameter. State theassumption necessary to find the confidenceinterval.Â Â
Is there any evidence to indicate that mean rod diameter isdifferent from 2.95 at significance level a = 0.05? Write theappropriate hypothesis. Make required assumption(s).
Can you make the same decision as in part b. from the result ofpart a. without testing the Hypothesis? If yes, how?

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n 12Sample meanRound to 3 decimalSample standard deviations 01050 Round to 4 decimalaAssumptions for confidence intervali Data must be from a random sample from large populationii Observations in the sample must be independent of eachotherHere population standard deviation is not known so we use tintervalConfidence level See Answer

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A machine produces metal rods used in an automobile suspension system. A random sample of 12...

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