Question
A quality control engineer of a watch manufacturing company has the task of monitoring whether the...
A quality control engineer of a watch manufacturing company has the task of monitoring whether the diameters of the watch faces meet the specifications. The diameters of the watch faces are known to be normally distributed, with mean 35.8mm and standard deviation 0.05mm. A sample of 150 watch faces is produced. Compute the following:
(a) the lower limit of a 90% confidence interval; [4]
(b) the upper limit of a 90% confidence interval; [2]
(c) the lower limit of a 95% confidence interval; [3]
(d) the upper limit of a 95% confidence interval; [1]
(e) the lower limit of a 99% confidence interval; [3]
(f ) the upper limit of a 99% confidence interval. [1]
Round your answers to four decimal places.
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