Question: Consider a population having a standard deviation equal to 10. We wish to estimate the mean of this population. a. How large a random sample

Consider a population having a standard deviation equal to 10. We wish to estimate the mean of this population.

a. How large a random sample is needed to construct a 95 percent confidence interval for the mean of this population with a margin of error equal to 1?

b. Suppose that we now take a random sample of the size we have determined in part a. If we obtain a sample mean equal to 295, calculate the 95 percent confidence interval for the population mean. What is the interval’s margin of error?

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