Carry your intermediate computations to at least four decima

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Solution

Standard error = 1.02/sqrt(50) =0.1442

Z value corresponding to 1.88 = (1.88-1.85)/0.1442 =0.2080

P( meanx <1.88 ) = P(z< 0.208) = 0.5824

The required probability =0.582