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Boxes of​ Honey-Nut Oatmeal are produced to contain 14.0 ​ounces, with a standard deviation of 0.15 ounce. For a sample size of 36​, the ​3-sigma x overbar chart control limits​ are:

a. Upper Control Limit ​(UCL Subscript x overbar​) ​= 14.08 ounces ​(round your response to two decimal​ places).
b. Lower Control Limit ​(LCL Subscript x overbar​) ​= 13.93 ounces ​(round your response to two decimal​ places).

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Answer:

UCL 14.08oz

LCL 13.93oz

Explanation:

´x=σ/√n

0.15/36 =0.15/6=0.025

´x= =14oz

UCL=´x+z σ´x

UCL=´x−z σ´x

UCL= 14 +3σ´x=14 +3(0.025)

=14+0.075

UCL=14.075oz approximately 14.08oz

LCL= 14 -3σ´x=14 -3(0.025)

=14- 0.075

LCL=13.925oz approximately 13.93oz