Assume that cans of Coke are filled so that the actual amoun

Assume that cans of Coke are filled so that the actual amounts have a mean of 12 oz and a standard deviation of 0.24 oz. Find the probability that a sample of 36 cans will have a mean of at least 12.1oz

Solution

let, mean of the sample = x..

probability that the sample of 36 cans will have a mean of at least 12.1oz
= prob [ x >= 12.1 ] = p [ z >= (12.1-12) / ( 0.24 / sqrt(36) ) = p [ z >= 2.5 ] = 1 - p [ z < 2.5 ] = 0.006209665.....