Steven S. answered • 07/20/22
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Recall that the normal distribution is symmetric. So, you can construct your confidence intervals as the following:
Sample mean +/- (z_crit)*(standard deviation of the mean)
z_crit represents a value that corresponds to a (1-alpha)% confidence interval (e.g. z_crit = 1.96 for a 95% confidence interval).
Based on the symmetry of the confidence interval, you know that the sample means lies exactly in the middle of the confidence interval.
Ashley P.
This is much more easier than what I initially thought doing: solving CI end point values as simultaneous equations to find sample mean. Thank you!07/20/22