Homework Answers
Given that,
Mean = 0.99 Liter
Standard Deviation = 0.04 liter
Sample size = N = 26
A) Confidence level = 97%
Z value for 97% CI = 2.17
Upper control limits = Mean + [Z x (SD / Sqrt(N))]
= 0.99 + [2.17 x (0.04 / Sqrt (26))]
= 1.0070
Lower control limits = Mean - [Z x (SD / Sqrt(N))]
= 0.99 - [2.17 x (0.04 / Sqrt (26))]
= 0.9730
B) Given that sample means are 1.005, 1001, 0.998, 1.002, 0.995 and 0.999
All the above value lie in the region of (0.9730, 1.0070)
Hence, the process is in control.
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