find the z score for which 88% of the distribution lies between -z and z

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88% between -z and z mean 44% ABOVE the mean and 44% BELOW the mean

44% above the mean = 50 + 44 = 94% = 0.94

According the z chart, 0.94 corresponds to a z value of 1.56

44% belowe the mean = 50 - 44 = 6% = 0.06

The z value for 0.06 is -1.56

Therefore,

z = +/- 1.56

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