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Confidence Interval
The interval estimate or a 'confidence interval' consists of a range as an upper confidence limit and lower confidence limit whether we are confident that a population parameter lies and we assign a probability that this interval includes the true population value
The confidence limits are the outer limits to a confidence interval. Confidence interval is the interval among the confidence limits. The higher the confidence level the greater the confidence interval. For illustration:
A normal distribution has the given characteristic as:
i. Sample mean ± 1.960 σ contains 95 percent of the population
ii. Sample mean ± 2.575 σ contains 99 percent of the population
Question 1: (a) Show that, for all sets A, B and C, (i) (A ∩ B) c = A c ∩B c . (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). (iii) A - (B ∪ C) = (A - B) ∩ (A - C).
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