How do you find the z-score for which 98% of the distribution's area lies between -z and z?

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Aug 6, 2015

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#z=2.33#

Explanation:

You need to look this up from a z-score table (e.g. http://www.had2know.com/academics/normal-distribution-table-z-scores.html) or use a numerical implementation of the inverse normal distribution cumulative density function (e.g. normsinv in Excel). Since you desire the 98% percent interval you desire 1% on each side of #+-z#, look up 99% (0.99) for #z# to obtain this.

The closest value for 0.99 on the table gives #z=2.32# on the table (2.33 in Excel), this is your #z# score.

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