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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
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Expected Value For taking decisions under conditions of uncertainty, the concept of expected value of a random variable is used. The expected value is the mean of a probability
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solving
Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe
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