What is the probability that p-hat
A sample of 400 observations will be taken from the infinite population. If the population proportion is 0.80, what is the probability that p-hat will be greater than 0.83?
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Random samples of size 225 are taken from an infinite pouplation in which 90% of the items have a particular characteristic. What are the mean & standard deviation of the sampling distribution for p-hat?
For each given p, let Z have the binomial distribution with parameters p and N. Assume that N has binomial distribution with parameters q and M. Formulate Z as a random sum and show that Z has binomial distribution with parameters pq and M
Random samples of size 100 are taken from infinite pouplation in which 20% of the items have a specific characteristic. What is that probability that the sample proportion observed in any random sample of 100 will be betwen 0.1216 and 0.2784?
A population consisting of 500 items has the mean of 150 and standard deviation of 25. If random samples of size 100 are taken, determine the value of the standard deviation of the sample average?
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