In a sample of n 11 lichen specimens, the researchers found the mean and standar

Question

In a sample of n 11 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioacteeement, cesium-137, that was present to be 0.009 and 0.005 microcurie per milliliter, respectively. Suppose the Complete parts a through c researchers Want to Increase the sample size in order o estimate he mean ? to within 0.002 microcune per mi lliter o its true value, using a 95% confidence neva a. What is the confidence level desired by the researchers? The confidence level is b. What is the sampling error deslred by the researchers? The sampling error is c. Compute the sample size necessary to obtain the desired estimate. The sample size iType a whole number.)

Explanation / Answer

Solution:-

a. The confidence interval is 1.96

b. The sampling error is 0.002

c. The sample size is

n = (Z*sigma/E)^2
= (1.96*0.005/0.002)^2
= 24.01
= 24

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