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Nov 08, 2014 · Example: The sample size is n = 21, σ = 6.07, and the original population is normally distributed. Determine whether the given conditions justify testing a claim about a population mean µ. Solution: If the sample is a simple random sample, then because the standard deviation is known and the population is normally distributed, then we can ...

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Suppose the true value of the president's approval rating is 56%. Find the probability that a sample of 1200 people would find a proportion between 53% and 58%. The standard deviation of the sample proportions is

Now for something challenging: if your data are (approximately) a simple random sample from some (much) larger population, then the previous formula will systematically underestimate the standard deviation in this population. An unbiased estimator for the population standard deviation is obtained by using S x = ∑ (X − X ¯) 2 N − 1

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research wecan calculate the minimum sample we need to get to. • A power of 80% tells us that, in 80%of the experiments of this sample size conducted in this population, if Ho is in fact false (e.g. the treatment effect is not zero),wewill be able to reject it. • The larger the sample, the larger the power. • Common Power used: 80%, 90% 67

Apr 20, 2005 · When the sample size increases, Range/4 is the best estimator for the standard deviation (and variance) until the sample sizes reach about 70. For large samples (size more than 70) Range/6 is actually the best estimator for the standard deviation (and variance).