Question: A process producing bricks is known to yield output whose weights are normally distributed with a standard deviation of 0.12 lb . A random sample

A process producing bricks is known to yield output whose weights are normally distributed with a standard deviation of 0.12lb. A random sample of 40 bricks from a day's output had a mean weight of 4.07lb.

(i)Find a 99% confidence interval for the mean weight of all bricks produced on that day.

(ii)Estimate the smallest sample size required if the error in estimating the population mean weight of all bricks is to be within 0.03lb with 95% confidence.

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