5 The mean weight loss of time manufacturing process after a certain length of t

Question

5

The mean weight loss of time manufacturing process after a certain length of time is 3.42 g with a standard deviation of 0.68 g. Construct a 95% confidence interval for true mean weight loss of under the stated conditions. Suppose that you are the supervisor of the above manufacturing process. Your responsibilities include making such as process continuation/Stopping/modification or reporting to the management etc One of your process engineers reported that the average weight loss of the process in a particular date was 3.16 g. Explain what action do you implement as the supervisor.

Explanation / Answer

For a 95% confidcene interval,z is known to be 1.96

Confidence interval is given by formula ( Mean - z * sigma / sqrt(n) , Mean+z * sigma / sqrt(n) ) = (3.42 -1.96* 0.68/sqrt(16),3.42 + 1.96* 0.68/sqrt(16) ) = (3.0868,3.7532)

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