[See Solution] To access the accuracy of a laboratory scale, a standard weight known to weigh 10g is weighed repeatedly. The scale readings are normally


Question: To access the accuracy of a laboratory scale, a standard weight known to

weigh 10g is weighed repeatedly. The scale readings are normally distributed with standard deviation 0.0002g.

  1. The weight is measured five times. The mean result is 10.0023g. Give a 91.64%
    confidence interval for the mean of the true weight.
  2. How many measurements needed to get the bound on the error of estimation with 98% confidence is less than 0.0001?

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