The critical value zα/2 that corresponds to a 83% confidence level is 1.37.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that the confidence level (C) = 83% = 0.83
α = 1 - C = 0.17
α/2 = 0.17/2 = 0.085
The z score of α/2 corresponds with the z score of 0.415 (0.5 - 0.085) which is equal to 1.37
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