Final answer:
The z-score for an 84% confidence interval is not standard and is estimated to be about 1.4, falling between the common confidence levels of 68% and 95%. For an exact value, one would need to use statistical software or a detailed z-table.
Step-by-step explanation:
The z-score that corresponds to an 84% confidence interval is not typically listed in standard statistical tables, as it is not a common value used for confidence intervals. Most tables provide critical values for 90%, 95%, and 99% confidence levels. However, we can still find the z-score for an 84% confidence interval by understanding how confidence intervals and z-scores are related.
Using the empirical rule, also known as the 68-95-99.7 rule, we see that approximately 68% of values lie between z-scores of -1 and 1, and about 95% lie between -2 and 2. For an 84% confidence interval, the z-score would be between those of the 68% and 95% confidence levels. Typically, statistical software or a more detailed z-table would be required to find the exact value. However, by looking at the pattern, we can estimate that the z-score for an 84% confidence interval is roughly 1.4, since it falls roughly halfway between the z-scores for 68% (1) and 95% (2) confidence intervals.