Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. .051
We have to find the z score ,under which the area is given as 0.051.
We have to use a table of cumulative areas under the normal curve to find z-score that corresponds to the area 0.051.
Now from table we can see,
Under z-score= -1.63 cumulative area is 0.05155
And under z-score=-1.64 cumulative area is 0.05055
Now ,if we take the average of this two areas,
So the required area lies between this two area.
So the required z score is average of -1.63 & -1.64
So required z-score is -(1.63+1.64)/2 = -1.635
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