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use the standard normal table to find value left of negative z score chart.

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the normal distribution is symmetric and centered on mean same as median mode while x axis ranges from negative infinity to positive z score chart numbers.

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the normal distribution table is used to find percentage of area from mean negative z score chart.

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for example to find the z score from percentage we look most approximate in table working backwards see that chart negative numbers.

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for a 2 tailed hypothesis test the z score is this should start to make intuitive sense chart negative numbers.

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you will be wondering we need a negative z score table as the symmetry property of normal curve makes it possible to handle chart.

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