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a.) The margin of error in a 95% confidence interval for the true mean of a...

a.) The margin of error in a 95% confidence interval for the true mean of a population is 2.5, based on a random sample of 100 measurements. If the sample mean is 27.5, the 95% confidence interval must be

b.) In a random sample of 100 measurements from a population with known standard deviation 200, the average was found to be 50. A 95% confidence interval for the true mean is

c.) A.C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the amount watched by a randomly selected child is normally distributed and the standard deviation is 3 hours. If 20 children between the ages of 2 and 5 are randomly selected, what is the standard error of the average number of hours watched by the children in the sample?

d.) Suppose a random sample of 900 measurements is taken from an unknown population. The distribution of the average of these measurements is approximately

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