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Consider the following data on the diameter of a rivet. Assume a normal population. 6.68 6.66 6.62 6.72 6.76 6.67 6.70 6.72 6.78 6.66 6.76

Consider the following data on the diameter of a rivet. Assume a normal population.

6.68 6.66 6.62 6.72 6.76 6.67 6.70 6.72

6.78 6.66 6.76 6.72 6.76 6.70 6.76 6.76

6.74 6.74 6.81 6.66 6.64 6.79 6.72 6.82

(a) [6 marks] Estimate the population variance 2.

(b) [6 marks] Compute a 95 percent two-sided condence interval for 2.

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