### What is the value of double overbarx

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##### Reference no: EM132234096

Auto pistons at Wemming? Chung's plant in Shanghai are produced in a forging? process, and the diameter is a critical factor that must be controlled. From sample sizes of 1010 pistons produced each? day, the mean and the range of this diameter have been as? follows

Day   Mean Xbar (mm)   Range R (mm)

1   158.9   4.2

2   155.2   4.6

3   151.6   4.1

4   157.5   4.8

5   156.6   4.7

a) What is the value of x double overbarx?? x double overbarxequals=nothing mm ?(round your response to two decimal? places). b) What is the value of Upper R overbarR?? Upper R overbarRequals=nothing mm ?(round your response to two decimal? places). ?c) What are the UCL Subscript x overbarUCLx and LCL Subscript x overbarLCLx using ?3-sigma?? Upper Control Limit ?(UCL Subscript x overbarUCLx?) ?= nothing mm ?(round your response to two decimal? places). Lower Control Limit ?(LCL Subscript x overbarLCLx?) ?= nothing mm ?(round your response to two decimal? places). ?d) What are the UCL Subscript Upper RUCLR and LCL Subscript Upper RLCLR using ?3-sigma?? Upper Control Limit ?(UCL Subscript Upper RUCLR?) ?= nothing mm ?(round your response to two decimal? places). Lower Control Limit ?(LCL Subscript Upper RLCLR?) ?= nothing mm ?(round your response to two decimal? places). ?e) If the true diameter mean should be 155 mm and you want this as your center? (nominal) line, what are the new UCL Subscript x overbarUCLx and LCL Subscript x overbarLCLx?? Upper Control Limit ?(UCL Subscript x overbarUCLx?) ?= nothing mm ?(round your response to two decimal? places). Lower Control Limit ?(LCL Subscript x overbarLCLx?) ?= nothing mm ?(round your response to two decimal? places).

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