Refer to the Alaskan Lichen Radionuclide Baseline Research study, presented in Exercise. In a sample of n = 9 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioactive element, cesium-137, that was present to be .009 and .005 micro curie per milliliter, respectively. Suppose the researchers want to increase the sample size in order to estimate the mean µ, to within .001 microcurie per milliliter of its true value, using a 95% confidence interval.
a. What is the confidence level desired by the researchers?
b. What is the sampling error desired by the researchers?
с. Compute the sample size necessary to obtain the desired estimate.