Question: An experiment to evaluate a new process for producing synthetic diamonds generated six samples at 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat. a) What

An experiment to evaluate a new process for producing synthetic diamonds generated six samples at 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat.

a) What is the 95% confidence bound for the true mean weight of diamonds with this process?

b) What is the probability that the new process makes diamonds weighing more than 0.58 carat?

c) What is the minimum sample size if the error in estimated mean found in part (a) is less than 5% of the true mean?

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