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Answer :
The z-value for a 93.8% confidence interval is 1.87. This value corresponds to the critical value on a standard normal distribution that leaves 3.1% in the tails beyond the central 93.8% of the data. The correct option is c) 1.87.
To determine the z-value for a 93.8% confidence interval estimation, we need to consider the percentage of the confidence level that falls in the center of the distribution and the corresponding z-score that leaves a small percentage in the tails of the normal distribution.
A 93.8% confidence level splits the remaining 6.2% into two, leaving 3.1% in each tail of the normal distribution. Looking up this percentage in the standard normal distribution z-table or using a calculator that approximates these values, we find that a z-value of around 1.87 corresponds to the cumulative area of 0.969 (or 96.9%), which accounts for half of the confidence interval plus the left tail, encompassing 93.8% of the total area under the curve.
Therefore The correct option is c) 1.87.
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