Answer :

The z-value for a 93.8% confidence interval estimation is closest to option C, which is 1.87. This value is used to determine the range of the confidence interval at this specific confidence level.Therefore the correct option is C.

The z value for a 93.8% confidence interval estimation measures how many standard deviations away from the mean a certain point is on a standard normal distribution. This value is critical in determining how wide the confidence interval should be to include the central 93.8% of the distribution. For a 93.8% confidence level, we need to find the z-score that corresponds to the cumulative area of 0.938. This is often done using a z-table or statistical software. However, since we are only given the options, we must pick the one that best approximates this confidence level.

Given the options provided (A. 1.54, B. 1.64, C. 1.87, D. 1.96), the closest z value for a 93.8% confidence interval would be 1.87, represented by option C. To reiterate, the critical value will change depending on the confidence level of the interval, and for popular confidence levels like 90%, 95%, and 99%, the z-values are well established (1.645, 1.96, and 2.576 respectively). However, for a 93.8% confidence level, we look for a value that falls between the 90% and 95% critical values, which is option C in this case.

Thanks for taking the time to read What is the z value for a 93 8 confidence interval estimation A 1 54 B 1 64 C 1 87 D 1 96. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada