Assignment:
A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you are interested in the mean score, mu, on this subsection among the general population. You decide that you will use the mean of a random sample of scores on this subsection to estimate mu. What is the minimum sample size needed in order for you to be 99% confident that your estimate is within 2 of mu? Use the value 23 for the population standard deviation of scores on this subsection.
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Provide complete and step by step solution for the question and show calculations and use formulas.