You have collected data on the processing speed for 20 supercomputers, both before and after a newly designed chip was implemented.
(a) Construct and interpret an 80% confidence interval for the difference between the average computing speed before and after the implementation of the new chip. Provide support for both your choice of interval and the validity of the underlying assumptions.
(b) Provide the R code which verifies your findings in (a).
"","x" "1",0.0458835170914729 "2",0.186357728205621 "3",0.261930461196287 "4",0.121678145570879 "5",0.190702709369361 "6",0.244160178413892 "7",1.12384053562444 "8",1.76960612885786 "9",0.360237084315125 "10",0.164134511258453 "11",0.209619600170602 "12",0.195104011489699 "13",0.163665047740577 "14",0.826605167818777 "15",0.523335928069361 "16",0.971550465234638 "17",0.664677629840183 "18",0.264826960157033 "19",0.383002542661351 "20",0.139428810965134
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