Answer :
The values of z for the standard normal distribution are 1.17 and -1.17
How to determine the values of z
From the question, we have the following parameters that can be used in our computation:
Distribution type = standard normal distribution
The number z that has cumulative proportion 0.88.
This means that we calculate the z-score from the p-value
i.e p = 0.88
Using the z-score table of values, we have the following representation
z = 1.17
The number z such that the event z > z has proportion 0.12
This means that we calculate the z-score from the p-value
i.e. p = 0.12
Using the z-score table of values, we have the following representation
z = -1.17
Hence, the z-scores are 1.17 and -1.17
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