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Let us suppose you have taken 100 samples of size 49 each from normally distributed population. Compute standard deviation of sample means if population's variance is 16. Area to left of ‘z' is 0.9976. What z-score corresponds to this area? Determine P(11 < x < 16) when mu = 15 and sigma = 3. Determine the critical z-value which corresponds to confidence level of 92%?

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