Answer :
The z-score corresponding to an observation is -1.64 and option b is the correct answer.
What is z-score?
The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A result that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.
The z-score is given by the following formula:
z = 4.5 - 5.7/ 0.61
z = -1.64
Hence, the z-score corresponding to an observation is -1.64 and option b is the correct answer.
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