A Proponent of Private Aid to Assist Those Who Are $\bar { x }$

A proponent of private aid to assist those who are suffering from hunger has decided to take a random sample to estimate the average annual contribution in her community to world hunger relief.A similar study in a comparable community reported the standard deviation of giving as $15.Our proponent believes that her estimate, $\bar { x }$ ,should be within $3 of the true average and with 92-percent confidence.If the community population is 1000,determine the appropriate sample size.