**Question: **Now, if we assume that the original distribution is normal, then \(\bar{X}\) has a normal distribution with mean 3000 and standard deviation 1. If the underlying distribution is not normal, then by the Central Limit Theorem we can say at least that \(\bar{X}\) has an *approximate* normal distribution with mean 3000 and standard deviation 1

What is the critical z value for a 64% confidence interval?

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