A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score,, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate. What is the minimum sample size needed in order for you to be95%confident that your estimate is within3of? Use the value21for the population standard deviation of scores on this subsection.

Carry your intermediate computations to at least three decimal places. Answer as awhole number(and make sure that it is the minimum whole number that satisfies the requirements).