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Construct X and R charts from following information and state whether the processFor each of the following, X has been computed from a sample of 5 units drawn atFor the values of factors (Constant A2 and !, ", use #$C table of control charts.

#r %o X& ( ' am X2 () am X! (&* am X" (&& am X5 (&2 noon

& ).'+ &*.*! &*.*2 &*.&5 ).)+2 ).)5 ).)& ).) ).)' &*.*+! &*.2 &* &*.*' &*.*2 &*.*&" &*.* &*.*! ).)2 &*.&2 &*.*55 &*.*" ).)" &*.*2 &*.*+ ).')

#r %o X& ( ' am X2 () am X! (&* am X" (&& am X5 (&2 noon

& ).'+ &*.*! &*.*2 &*.&5 ).)+2 ).)5 ).)& ).) ).)' &*.*+! &*.& &* &*.*' &*.*2 &*.*&" &*.* &*.*! ).)2 &*.&2 &*.*55 &*.*5 ).)" &*.*2 &*.*+ ).')

-ean &*.**+ ).)'2 &*.**2 &*.*++ ).))"

-a &*.* &*.*! &*.*' &*.&5 &*.*+-in ).'+ ).)& ).)2 ).)' ).')

Range *.2& *.&2 *.&+ *.& *.&

For X chart, /pper control limit and 0ower control limit are calculated as below1

/C01 X A2R,&*.&*5 '

0C01 X3A2R).)&"2&'

For R Chart

/C01 "4R *.!5*)2"0C01 !4R *

Comments1 he process is under full control

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From X chart we anal6se that machine has good accurac6From R chartwe can conclude that machine has good precision

raw the charts and comment about deviation but control

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is in controln interval one hour from an ongoing manufacturing process.

Mean of Means 10.01

Mean of range 0.166

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*.&

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n A2 ! "2 &.'' * !.2+'! &.*2! * 2.5 "" *. 2) * 2.2'2

5 *.5 * 2.&&"+ *."'! * 2.**"

*."&) *.* + &.)2"' *.! ! *.&!+ &.'+") *.!! *.&'" &.'&+

&* *.!*' *.22! &.