In a sample of n equals=15 lichen? specimens, the researchers found the mean and

Question

In a sample of n equals=15 lichen? specimens, the researchers found the mean and standard deviation of the amount of the radioactive? element, cesium-137, that was present to be

0.009 and 0.005 microcurie per? milliliter, respectively. Suppose the researchers want to increase the sample size in order to estimate the mean

? to within 0.002 microcurie per milliliter of its true? value, using a? 95% confidence interval. Complete parts a through c.

a. What is the confidence level desired by the? researchers?

The confidence level is

. 95

b. What is the sampling error desired by the? researchers?

The sampling error is:

Explanation / Answer

Solution :

a. Given that, researcher used 95% confidence interval ,to increase the sample size in order to estimate the mean,

So confidence level desired by researcher is 0.95.

b. Given that researchers want to increase the sample size in order to estimate the mean ? to within 0.002 microcurie per milliliter of its true? value.

So sampling error desired is 0.002.

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