a) 99% CI for population mean:( xbar-zstdev/sqrt(n) , xbar+zstdev/sqrt(n))= (37.5-2.88,37.5+2.88)=(34.62, 40.38)

lower limit:34.62

upper limit: 40.38

margin of error= 2.88

b) n= z^2 stdev^2/E^2 =2.58*2.58*7.9*7.9/2.3*2.3 =79

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